Updated on 2023/03/27

写真a

 
FUJITA Takahiko
 
Organization
Faculty of Science and Engineering Professor
Other responsible organization
Data Science for Business Innovation Course of Graduate School of Science and Engineering, Master's Program
Data Science for Business Innovation Course of Graduate School of Science and Engineering, Doctoral Program
Contact information
The inquiry by e-mail is 《here
External link

Degree

  • 理学博士 ( 京都大学 )

  • 理学修士 ( 京都大学 )

Education

  • 1981.3
     

    Kyoto University   Graduate School, Division of Natural Science   doctor course   withdrawn before completion

  • 1980.3
     

    Kyoto University   Graduate School, Division of Natural Science   master course   completed

  • 1978.3
     

    Kyoto University   Faculty of Science   graduated

  • 1974.3
     

    私立灘中学灘高等学校   graduated

Research History

  • 2007.10 - Now

    京都大学数理解析研究所伊藤清ガウス賞受賞記念講座客員教授   Research Institute for Mathematical Sciences

  • 2007.10 - Now

    Kyoto Univesrsity Research Institute of Mathematical Science, visiting professor, Kiyoshi Ito research division of mathematical analysis

  • 2000.10 - Now

    一橋大学大学院国際企業戦略研究科教授を兼任

  • 2000.10 - Now

    Graduate school of International Corporate Strategy, Hitotsubashi University, professor

  • 2000.4 - Now

    Graduate school of commerce and management, Hitotsubashi University, professor

  • 2011.4 -  

    中央大学理工学部教授

  • 2010.4 - 2011.3

    中央大学大学院兼任講師

  • 2000.10 - 2011.3

    一橋大学大学院国際企業戦略研究科教授

  • 2000.4 - 2011.3

    一橋大学大学院商学研究科教授   Professor

  • 2000.4 - 2011.3

    一橋大学大学院商学研究科教授

  • 2002.1 - 2004.4

    パリ第6大学数学学部確率学科客員研究員

  • 2003.2 -  

    -4 パリ第6大学数学学部確率論学科客員研究員

  • 1998.4 - 2000.3

    一橋大学商学部教授   Faculty of Commerce and Management

  • 2000.2 -  

    -4 University of Paris 6, Department of Mathematics, Labo. of Probability, visiting researcher

  • 1998.4 -  

    Hitotsubashi University Faculty of commerce, professor

  • 1996.4 - 1998.3

    一橋大学商学部助教授   Faculty of Commerce and Management

  • 1991.1 - 1996.3

    一橋大学法学部助教授   Faculty of Law

  • 1991.1 -  

    Hitotsubashi University

  • 1983.4 - 1990.12

    京都大学教養部講師

  • 1981.4 - 1990.12

    京都大学理学部数学教室助手   Faculty of Science

  • 1986.1 - 1986.7

    カリフォルニア大学アーバイン校客員助教授

  • 1986.1 -  

    -7 California州立大学Irvine校にてvisiting assistant professor(確率・統計,実解析などの授業を担当)

  • 1986.1 -  

    -7 Univeristy of California Irvine, visiting assistant professor(teaching probability and real analysis)

  • 1983.4 -  

    京都大学教養部講師を兼任

  • 1981.4 -  

    Kyoto University reserch assisitant

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Professional Memberships

  • 日本証券計量金融工学学会

  • 日本数学会

  • 日本数学教育学会

Research Interests

  • 保険数理

  • 数理ファイナンス

  • 確率論

  • Insurance Mathematics

  • Mathematical Finance

  • Probabilty Theory

  • "Probability, Mathematical Finance, Insurance Mathematics"

Research Areas

  • Natural Science / Applied mathematics and statistics

  • Natural Science / Basic mathematics

Papers

  • Japan Russia Probability and Mathemtical Statistics Symposium

    Fujita, T

    Theory of Probability (forthcoming)   2009.9

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    Language:English   Publisher:Steklv Institute  

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  • 第3回金融工学教育国際会議

    Fujita, T

    CFEE   2009.8

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    Language:Japanese   Publisher:Hitotsubashi University  

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  • Cauchy Variables and Riemann Zeta Function

    Fujita, T

    School On Randomness   2008.12

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    Language:English   Publisher:University of Chillie  

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  • On new exotic derivative products

    Fujita, T

    金融機構新金融商品開発展望会   2007.12

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    Language:Japanese   Publisher:政治大学(台北)  

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  • Local Times, Excursion and related topics

    Fujita,T

    Stochastic Process and Applicationd to Mathematical Finance, Ritsumeikan University, 2006/3   2006.3

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  • On the price of the α-percentile options

    FUJITA, T

    Hitotsubashi University Faculty of Commerce Working Paper Series No. 25   1 - 17   1997.6

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    Language:Japanese   Publisher:一橋大学  

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  • A fractional dimension, self-similarity and a generalized diffusion operator, Reviewed

    Fujita Takahiko

    Probabilistic Methods in Mathematical Physics   83 - 90   1987.7

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Kinokuniya  

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  • A fractional dimension and generalized diffusion

    Fujita, T

    Fifth Japan USSR Probability and Statistics Symposium   123 - 124   1986.7

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    Language:English   Publisher:Japan USSR Probabilioty seminar  

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Books

  • 弱点克服 大学生の確率統計

    藤田岳彦( Role: Sole author)

    東京図書  2010.4  ( ISBN:9784489020698

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    Language:Japanese   Book type:Scholarly book

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  • Introduction to College Probability and Statistics

    2010  ( ISBN:9784489020698

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  • ファイナンス・保険数理の現代的課題

    黒田耕嗣(局所時間汎関数分布とLocal Time Barrier Optionの価格付け(ブラックHショールズモデルにおけるデリバティブの価格理論;局所時間汎関数とLocal Time Barrier Option))

    冨山房インターナショナル、日本大学文理学部  2008.10 

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    Language:Japanese   Book type:Scholarly book

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  • ランダムウォークと確率解析-ギャンブルから数理ファイナンスまで-

    藤田岳彦( Role: Sole author)

    日本評論社  2008.2 

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  • Modern topics of the matmatical finance and the insurance mathematics -On the distribution of the local time functionals and the price of local time barrier options- (jointly worked)

    Fuzanbo International  2008  ( ISBN:9784902385601

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  • ファイナンス・保険数理の現代的課題 -局所時間汎関数分布とLocal Time Barrier Optionの価格付けー (共著)

    冨山房インターナショナル  2008  ( ISBN:9784902385601

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  • ランダムウォークと確率解析 -ギャンブルから数理ファイナンスまで-

    日本評論社  2008 

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  • 確率・統計・モデリング問題集

    藤田岳彦( Role: Sole author)

    日本アクチュアリー会  2007.8 

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    Language:Japanese   Book type:Scholarly book

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  • 道具としての金融工学

    藤田岳彦( Role: Sole author)

    日本実業出版社  2005.3 

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    Language:Japanese   Book type:Scholarly book

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  • ファイナンスの最適化入門

    藤田岳彦( Role: Sole author)

    講談社  2002.12 

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    Language:Japanese   Book type:Scholarly book

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  • ファイナンスの確率解析入門

    藤田岳彦( Role: Sole author)

    講談社  2002.10 

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    Language:Japanese   Book type:Scholarly book

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  • デリバティブ価格理論入門-金融工学への確率解析(金融職人技シリーズ)

    Martin Baxter, Andrew Rennie, 原著, 高岡浩一郎, 塩谷匡介, 藤田岳彦( Role: Joint translator)

    シグマベイスキャピタル  2001.2 

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    Total pages:310   Language:Japanese   Book type:Scholarly book

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  • これでなっとく金融数学の基礎知識

    藤田岳彦( Role: Sole author)

    講談社  2000.12 

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  • 確率・統計入門-数理ファイナンスへの適用

    森真, 藤田岳彦( Role: Joint author)

    講談社  1999.4 

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    Total pages:214   Language:Japanese   Book type:Scholarly book

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  • 確率統計入門 -数理ファイナンスへの適用- (共著)

    講談社  1998 

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  • A fractional dimension self-similarity and a generalized diffusion operator

    Probabilistic Methods in Mathematical Physics, the Proceedings of Taniguchi international Symposium Katata and Kyoto 1985( edited by K. Ito)  1987 

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  • A fractional dimension self-similarity and a generalized diffusion operator

    Probabilistic Methods in Mathematical Physics, the Proceedings of Taniguchi international Symposium Katata and Kyoto 1985 ( edited by K. Ito)  1987 

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MISC

  • Valuation of a repriceable executive stock option

    Takahiko Fujita, Masahiro Ishii

    Asia-Pacific Financial Markets   17 ( 1 )   1 - 18   2010.2

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    Language:English  

    We introduce a path-dependent executive stock option. The exercise price might be reduced when both the firm's stock price and a stock market index fall greatly. The repriceable executive stock option has a simple payoff that may be used for realistic executive rewards. We show the valuation formula, and compute the probability of the repriceable executive stock option expiring in-the-money. Both price and probability are important pieces of quantitative information when choosing an executive compensation package. © Springer Science+Business Media, LLC. 2009.

    DOI: 10.1007/s10690-009-9096-2

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  • A discrete analogue of two "dual " continuous GGC(:Generalized Gamma Convolution variables),

    Infinitely divisible processes and Related topics 14, The Institute of Statistical Mathematics Cooperative Research Report   247   87 - 91   2010

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  • Valuation of a Repriceable Executive Stock Option (jointly worked)

    Asia-Pacific Financial Markets, Vol. 17, No.1, (2010) 1-18.   Vol. 17, No.1, (2010) 1-18.   2010

  • A discrete analogue of two "dual " continuous GGC(:Generalized Gamma Convolution variables)

    Infinitely divisible processes and Related topics 14, The Institute of Statistical Mathematics Cooperative Research Report   247   87 - 91   2010

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  • Discrete Ito Formula and its Applications (Numerical Analysis : Theory, Methods and Applications) (jointly worked)

    Koukyuroku Reserch Institute Mathematical Sciense Kyoto University   1638, 130-136   2009

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  • 離散伊藤公式とその応用 (数値解析における理論・手法・応用) (共著)

    京都大学数理解析研究所講究録   1638, 130-136   2009

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  • A uniformly distributed sequence on the ring of p-adic integers

    Takahiko Fujita, Hiroshi Kaneko, Shin Matsumoto

    Monte Carlo Methods and Applications   14 ( 4 )   303 - 310   2008.11

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    This article will be started with a fundamental observation on consecutive nonnegative integers. Based on the observation, we will demonstrate that the sequence of nonnegative integers is regarded as a uniformly distributed sequence in the ring of the p-adic integers. As a result, the sequence provides us with a faster rate of convergence than the one obtained by simply applying law of the iterated logarithm. © de Gruyter 2008.

    DOI: 10.1515/MCMA.2008.013

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  • A uniformly distributed sequence on the ring of p-adic integers

    Takahiko Fujita, Hiroshi Kaneko, Shin Matsumoto

    Monte Carlo Methods and Applications   14 ( 4 )   303 - 310   2008.11

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    This article will be started with a fundamental observation on consecutive nonnegative integers. Based on the observation, we will demonstrate that the sequence of nonnegative integers is regarded as a uniformly distributed sequence in the ring of the p-adic integers. As a result, the sequence provides us with a faster rate of convergence than the one obtained by simply applying law of the iterated logarithm. © de Gruyter 2008.

    DOI: 10.1515/MCMA.2008.013

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  • A random walk analogue of Lévy's Theorem

    Takahiko Fujita

    Studia Scientiarum Mathematicarum Hungarica   45 ( 2 )   223 - 233   2008.6

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    In this paper we will give a simple symmetric random walk analogue of Lévy's Theorem. We will give a new definition of a local time of the simple symmetric random walk. We apply a discrete It formula to some absolute value like function to obtain a discrete Tanaka formula. Results in this paper rely upon a discrete Skorokhod reflection argument. This random walk analogue of Lévy's theorem was already obtained by G. Simons ([14]) but it is still worth noting because we will use a discrete stochastic analysis to obtain it and this method is applicable to other research. We note some connection with previous results by Csáki, Révész, Csörg and Szabados. Finally we observe that the discrete Lévy transformation in the present version is not ergodic. Lastly we give a Lévy-type theorem for simple nonsymmetric random walk using a discrete bang-bang process. © 2008 Akadémiai Kiadó.

    DOI: 10.1556/SScMath.45.2008.2.50

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  • A random walk analogue of Levy's theorem

    Takahiko Fujita

    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA   45 ( 2 )   223 - 233   2008.6

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    Language:English   Publisher:AKADEMIAI KIADO RT  

    In this paper we will give a simple symmetric random walk analogue of Levy's Theorem. We will give a new definition of a local time of the simple symmetric random walk. We apply a discrete Ito formula to some absolute value like function to obtain a discrete Tanaka formula. Results in this paper rely upon a discrete Skorokhod reflection argument. This random walk analogue of Levy's theorem was already obtained by G. Simons ([14]) but it is still worth noting because we will use a discrete stochastic analysis to obtain it and this method is applicable to other research. We note some connection with previous results by Csaki, Revesz, Csorgo and Szabados. Finally we observe that the discrete Levy transformation in the present version is not ergodic. Lastly we give a Levy-type theorem for simple nonsymmetric random walk using a discrete bang-bang process.

    DOI: 10.1556/SScMath.45.2008.2.50

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  • A probabilstic approach to the special values of the Riemann zeta function

    Fujita, T

    京都大学数理解析研究所講究録 数論と確率論   1590   1 - 9   2008.4

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    Language:Japanese   Publisher:Kyoto University  

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  • A proof of ito's formula using a discrete ito's formula

    Takahiko Fujita, Yasuhiro Kawanishi

    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA   45 ( 1 )   125 - 134   2008.3

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    Language:English   Publisher:AKADEMIAI KIADO  

    In this paper we will prove Ito's formula for Brownian motion in the case of f epsilon C-2 (R), using a discrete Ito's formula.

    DOI: 10.1556/SScMath.2007.1043

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  • An arbitrage approach to the pricing of catasrophe options involving the Cox process (共著)

    Hitotsubashi J. of Economics   Vol 49, 67-74   2008

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  • A proof of Ito's formula using a discrete Ito's formula (jointly worked)

    Stud. Sci. Math. Hungar.   45 ( 1 )   125 - 134   2008

  • Perpetual Brownian and Bessel quantiles (jointly worked)

    to appear in Electron. Comm. Prob.   2008

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  • Euler's formulae for the Riemann zeta function and Cauchy variables

    Infinitely divisible processes and Related topics 12, The Institute of Statistical Mathematics Cooperative Research Report   213   98 - 103   2008

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  • Perpetual Brownian and Bessel quantiles (共著)

    to appear in Electron. Comm. Prob.   2008

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  • An arbitrage approach to the pricing of catasrophe options involving the Cox process (jointly worked)

    Hitotsubashi J. of Economics   Vol 49, 67-74   2008

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  • A probabilistic approach to special values of the Riemann zeta function

    RIMS Kokyuroku Number Theory and Probability Theory, Research Institute for Mathematical Sciences Kyoto University, Kyoto, Japan   1590   1 - 9   2008

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  • Euler's formulae for the Riemann zeta function and Cauchy variables

    Infinitely divisible processes and Related topics 12, The Institute of Statistical Mathematics Cooperative Research Report   213   98 - 103   2008

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  • On the remarakable distributions of maxima of some fragments of the standard reflecting random walk and Brownian Motion Reviewed

    Fujita, T, Yor, M

    Prob. Math. Stat.   27 ( 1 )   89 - 104   2007.2

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    Language:English   Publisher:Univ. of Wroclaw  

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  • A warning about an independent property related to Random Brownian scaling Reviewed

    Fujita, T, Yor, M

    Prob. Math. Stat.   27 ( 1 )   105 - 108   2007.2

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    Language:English   Publisher:Univ. of Wroclaw  

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  • On the infinitely divisibility and the selfdecomposability of length of random walk, Brownian and Bessel excursions straddling independent exponential times (共著)

    Infinitely divisible processes and related topics 11 The Institute of Statistical Mathematics Cooperative Research Report   195   126 - 134   2007

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  • EULER'S FORMULAE FOR zeta(2n) AND CAUCHY VARIABLES(with P. Bourgade and M. Yor) (jointly worked)

    Elect.Comm.Prob.   ( 12 )   73 - 80   2007

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  • On the infinitely divisibility and the selfdecomposability of length of random walk, Brownian and Bessel excursions straddling independent exponential times (jointly worked)

    Infinitely divisible processes and related topics 11 The Institute of Statistical Mathematics Cooperative Research Report   195   126 - 134   2007

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  • A warning about an independent property related to Random Brownian scaling (jointly worked)

    Prob. Math. Stat   27 ( 1 )   105 - 108   2007

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  • On the remarakable distributions of maxima of some fragments of the standard reflecting random walk and Brownian Motion (jointly worked)

    Prob. Math. Stat   27 ( 1 )   89 - 104   2007

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  • EULER'S FORMULAE FOR zeta(2n) AND CAUCHY VARIABLES (共著)

    Elect.Comm.Prob.   ( 12 )   73 - 80   2007

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  • On a particular class of self-decomposable random variables: the durations of Bessel excursions straddling an independent exponential time Reviewed

    Bertoin,J, Roynette, B, Fujita, T, Yor,M

    Prob. Math. Stat.   26 ( 2 )   315 - 366   2006.6

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    Language:English   Publisher:Univ. of Wroclaw  

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  • The distribution of Continuous Time Rank Processes Reviewed

    Fujita, T, Miura, R

    Advances in Mathematical Economics   9   25 - 32   2006.3

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  • The distribution of Continuous Time Rank Processes (jointly worked)

    Advances in Mathematical Economics   9   25 - 32   2006

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  • On a particular class of self-decomposable random variables: the durations of Bessel excursions straddling an independent exponential time (jointly worked)

    Prob. Math. Stat.   26 ( 2 )   315 - 366   2006

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  • Pricing path-dependent options in some Black-Scholes market from the distribution of homogeneous Brownian functionals (jointly worked)

    Journal of Applied Probability   41 ( 1 )   1 - 18   2004

  • Pricing path-dependent options in some Black-Scholes market from the distribution of homogeneous Brownian functionals (共著)

    Journal of Applied Probability   41 ( 1 )   1 - 18   2004

  • Pricing derivatives in Zone model Reviewed

    Fujita Takahiko

    Asia-Pacific Financial Markets   9 ( 3 )   211 - 215   2003.9

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    Language:English   Publisher:JAFEE  

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  • Pricing derivatives in Zone model Reviewed

    Fujita Takahiko

    Asia-Pacific Financial Markets   9 ( 3 )   211 - 215   2003.9

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    Language:English   Publisher:JAFEE  

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  • An Application of New Barrier Options (Edokko Options) for Pricing Bonds with Credit Risk

    Fujita, T, Ishizaka, M

    Hitotsubashi Journal of Commerce and Management   37 ( 1 )   17 - 23   2003.5

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  • Edokko Options:A New Framework of Barrier Options Reviewed

    Fujita, T, Miura, R

    Asia-Pacific Financial Markets   9 ( 2 )   141 - 151   2003.5

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  • An Application of New Barrier Options (Edokko Options) for Pricing Bonds with Credit Risk (jointly worked)

    Hitotsubashi Journal of Commerce and Management   37 ( 1 )   141 - 151   2003

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  • Edokko Options:A New Framework of Barrier Options (jointly worked)

    Asia Pacific Financial Markets   9 ( 2 )   141 - 151   2003

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  • The generalized van der Corput sequence and its application to numerical integration (jointly worked)

    Monte Carlo Methods and Applications   8 ( 2 )   149 - 158   2002

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  • The generalized van der Corput sequence and its application to numerical integration

    Takahiko Fujita, Shunji Ito, Syoiti Ninomiya

    Monte Carlo Methods and Applications   8 ( 2 )   149 - 158   2002

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    Language:English   Publisher:Walter de Gruyter GmbH  

    A new class of s-dimensional uniformly distributed sequences called the generalized van der Corput sequence is defined. The sequence is constructed by using the generalized number system based on an integer matrix whose all eigenvalues reside out of the unit circle. In this talk, we show that by using the generalized van der Corput sequence we can calculate numerical integrations with the convergence speed O(l/N) when integrands satisfy some regularity conditions. We also apply the sequence to a numerical Integration problem and test effectiveness of the sequence. © KSP 2002.

    DOI: 10.1515/mcma.2002.8.2.149

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  • マルチンゲール理論に基づくデリバティブの価格付けと複製ポートフォリオ構築

    一橋論叢   126   339 - 364   2001

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  • The generalized van der Corput sequence and its application to numerical inegration (共著)

    数理解析研究所講究録 確率数値解析に於ける諸問題 V   1240   114 - 124   2001

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  • The generalized van der Corput sequence and its application to numerical integration (jointly worked)

    1240   114 - 124   2001

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  • デリバティブの価格理論(エキゾティックオプションを中心に)、応用数理

    応用数理、岩波書店   11 ( 4 )   38 - 55   2001

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  • Symbolical and geometrical characterizations of Kronecker sequences by using Bruns algotithm Reviewed

    Fujita, T, Ito, S, Ninomiya, S

    J. Math. Sci. Univ. Tokyo   7 ( 2 )   163 - 193   2000.3

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    Language:English   Publisher:University of Tokyo  

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  • Symbolical and geometrical characterizations of Kronecker sequences by using Bruns algotithm (jointly worked)

    88 - 114   2000

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  • A note on the joint distribution of α, β-percentiles and its application to the option pricing

    Takahiko Fujita

    Asia-Pacific Financial Markets   7 ( 4 )   339 - 344   2000

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    Language:English   Publisher:Springer Science and Business Media Deutschland GmbH  

    In this paper, using Laplace transform, we will calculate the joint density of two percentiles of stock prices in the Black-Sholes model and make the price of exchange options of such two percentiles. © 2001 Kluwer Academic Publishers.

    DOI: 10.1023/A:1010046925696

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  • Symbolical and geometrical characterizations of Kronecker sequences by using Bruns algotithm (共著)

    数理解析研究所講究録1127 確率数値解析における諸問題、Ⅳ   88 - 114   2000

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  • A Note on the Joint Distribution of α-βPercentiles and Its Application to the Option Pricing

    Asia Pacific Financial Markets   7 ( 4 )   339 - 344   2000

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  • Symbolical and geometrical characterizations of Kronecker sequences by using Bruns algotithm (jointly worked)

    J. Math. Sci. Univ. Tokyo   163 - 193   2000

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  • On the replicating portfolio of some exotic options Reviewed

    Fujita, T, Futagi, S

    ISCIE International Symposium on Stochastic system Theory and Its Applications   107 - 112   1999.10

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    Language:English   Publisher:ISCIE  

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  • On the replicating portfolio of some exotic options (jointly worked)

    Proceeding of the 31st ISCIE International Symposium on Stochastic system Theory and Its Applications   107 - 112   1999

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  • 確率金利モデルにおけるアベレージオプションの価格理論

    Fujita Takahiko

    一橋論叢   120 ( 5 )   693 - 700   1998.11

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    Language:Japanese   Publisher:Hitotsubashi Univ.  

    DOI: 10.15057/11930

    CiNii Books

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    Other Link: http://hdl.handle.net/10086/11930

  • 多次元連分数展開と数の同時近似 Reviewed

    Fujita Takahiko

    Seminar on Probabikity   61   1 - 14   1998.3

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    Language:Japanese   Publisher:確率論セミナー  

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  • ルックバックオプションの価格理論についての注意

    Fujita Takahiko

    一橋論叢   116 ( 5 )   160 - 167   1996.11

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    Language:Japanese   Publisher:Hitotsubashi Univ.  

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  • 可変ボラティリティを持つデリバティブの価格理論

    Fujita Takahiko

    一橋大学研究年報 自然科学研究   30   3 - 29   1996.9

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  • On almost everywhere exponential convergence of the modified Jacobi-Perron algorithm (jointly worked)

    Ergodic Theory and Dynamical Systems   16   1345 - 1352   1996

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  • On almost everywhere exponential convergence of the modified Jacobi-Perron algorithm (共著)

    Ergodic Theory and Dynamical Systems   16   1345 - 1352   1996

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  • On some properties of holomorphic diffusion

    Fujita Takahiko

    Hitotsbashi Journal of Arts Sciences   34 ( 1 )   83 - 90   1993.2

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  • On some properties of holomorphic diffusion

    Fujita Takahiko

    Hitotsbashi Journal of Arts Sciences   34 ( 1 )   83 - 90   1993.2

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  • SOME ASYMPTOTIC ESTIMATES OF TRANSITION-PROBABILITY DENSITIES FOR GENERALIZED DIFFUSION-PROCESSES WITH SELF-SIMILAR SPEED MEASURES

    T FUJITA

    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES   26 ( 5 )   819 - 840   1990.12

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    Language:English   Publisher:KYOTO UNIV  

    DOI: 10.2977/prims/1195170736

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  • Some Asymptotic Estimates of Transition Probability Densities of Generalized Diffusion Processes with Self-Similar Speed Measures. Reviewed

    Fujita Takahiko

    Publication R. I. M. S. Kyoto University   26 ( 5 )   819 - 840   1990.9

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    DOI: 10.2977/prims/1195170736

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  • 曲率と拡散過程

    藤田岳彦

    Survey in Geometry   1 - 52   1985.10

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  • The Onsager-Machlup function for diffusion processes (jointly worked)

    Journal of Mathematics Kyoto University   22 ( 1 )   115 - 130   1982

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  • THE ONSAGER-MACHLUP FUNCTION FOR DIFFUSION-PROCESSES

    T FUJITA, S KOTANI

    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY   22 ( 1 )   115 - 130   1982

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  • 拡散過程の Onsager-Machlup 関数について

    藤田岳彦, 小谷真一

    京都大学数理解析研究所講究録   434 ( 434 )   183 - 193   1981.4

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Presentations

  • Special values of the Hurwitz zeta function via generalized Cauchy variables.

    Fujita,T, Yano, Y

    The Institute of Statistical Mathematics Cooperative Research Report  2011.2 

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  • Special values of the Riemann zeta function via arcsine variables

    Fujita, T

    The Institute of Statistical Mathematics Cooperative Research Report  2011.2 

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  • A discrete analogue of two "dual " continuous GGC(:Generalized Gamma Convolution variables),

    Fujita, T

    The Institute of Statistical Mathematics Cooperative Research Report  2010.2 

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  • On Restart Options

    ステクロフ研究所確率論セミナー(Invited speaker)  2010 

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  • 離散伊藤公式とその応用 (数値解析における理論・手法・応用)

    藤田岳彦, 石村直之

    京都大学数理解析研究所  2009.4 

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  • Takahiko Fujita

    日露確率統計シンポジウム (Invited Speakaer)  2009 

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  • Takahiko FUJITA

    Stochastic Analysis for and from Finance" (SAFFF) (Invited Speaker)  2009 

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  • Takahiko FUJITA

    第3回金融工学教育国際会議 8/8/2009(Invited Speaker)  2009 

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  • Takahiko FUJITA

    International symposium on dynamical system  2009 

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  • 藤田岳彦, 石村直之

    2009 金融工学科研費研究集会, 2009/2  2009 

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  • 藤田岳彦

    2009数論とエルゴード理論ワークショップ, 2009/2  2009 

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  • Takahiko FUJITA, Noyuki Ishimura, Noritoshi Kawai

    AfiriComp 2009 (Jan) at Sun city, South Africa  2009 

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  • Euler's formulae for the Riemann zeta function and Cauchy variables

    Fujita, T

    The Institute of Statistical Mathematics Cooperative Research Report  2008.2 

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  • Takahiko FUJITA

    School on Randomness at Santiago, Chilie, 2008/12  2008 

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  • 藤田岳彦

    2008大阪大学金融保険中之島ワークショップ, 2008/12  2008 

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  • 藤田岳彦

    京都大学理学研究科・京都大学数理解析研究所談話会, 2008/10  2008 

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  • Takahiko FUJITA, A probabistic approah to the special values of the Riemann zeta function

    数論とエルゴード理論シンポジウム, 金沢大学サテライトプラザ、2008/2  2008 

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  • Takahiko FUJITA, Brownian and Random Walk Fragments and “Meander Option "

    数理ファイナンスとその周辺シンポジウム 東京大学 駒場 2008/1  2008 

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  • 離散確率解析とその周辺 ーブラック・ショールズからリーマンゼータまで

    藤田岳彦

    日本数学会企画特別講演  2007.3 

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  • On the infinite divisibility and the selfdecomposability of length of random walk, Brownian and Bessel excursions straddling independent exponential times

    Fujita,T, Yor, M

    The Institute of Statistical Mathematics Cooperative Research Report  2007.2 

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  • Takahiko FUJITA, New Exotic derivative Products,

    (Invited Speaker) 金融機構新金融商品開発展望会 at 政治大学, 台北, 2007/12  2007 

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  • Takahiko FUJITA, )On Pricing "Meander Option"

    (Invited Speaker) 2007年度中之島ワークショップ 金融工学・数理・計量ファイナンスの諸問題 大阪大学金融・保険教育研究センター 2007/12  2007 

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  • Takahiko FUJITA, A probabilistic approach to the special values of the Riemann zeta function

    “Number Theory and Probability Theory, International Institute for Advanced Study, Nara, 2007/10  2007 

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  • Takahiko FUJITA, Euler's formulae for the Riemann zeta function and

    統計数理研究所共同研究集会 無限分解可能過程と関連する諸問題, 2007/11  2007 

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  • Takahiko FUJITA, A probabilistic approach to the special values of the Riemann zeta function

    数論セミナー 明治学院大学 2007/7  2007 

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  • Takahiko FUJITA, 離散確率解析とその周辺 - ブラック・ショールズからリーマン・ゼータまで-

    (Invited Speaker) 日本数学会 企画特別講演 2007/3  2007 

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  • Takahiko FUJITA, On the infinitely divisibility of length of random walk, Brownian and Bessel excursions straddling independent exponential times

    (Invited speaker) Oidemase Yamaguchi Symposium, “Probability Theory and Related Topics”. Yamaguchi, 2006/11  2006 

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  • Takahiko FUJITA, On the infinitely divisibility of length of random walk, Brownian and Bessel excursions straddling independent exponential times

    統計数理研究所共同研究集会 無限分解可能過程と関連する諸問題, 2006/11  2006 

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  • Takahiko FUJITA, Some Results on Local Time and Excursions of Brownian Motion and Random walk

    (Invited Speaker) Stochastic Process and Applicationd to Mathematical Finance, Ritsumeikan University, 2006/3  2006 

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  • Takahiko FUJITA, Discrete stochastic calculus and its applications to

    数理ファイナンスとその周辺シンポジウム at 一橋大学 2006/1  2006 

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  • Takahiko FUJITA, On the remarkable distributions of maxima of Brownian motion and Random walk and Brownian excursion straddling independent exponential times

    Internatinal Conference on Probability Theory (Journees des Probabilites) at Nancy University 2005/9  2005 

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  • Takahiko FUJITA, Maxima in Excursions of Random Walk and Brownian Motion

    Probability and Number Theory at Kanazawa 2005/7  2005 

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  • Takahiko FUJITA, The distribution of rank processes and its application to mathematical finance

    (Invited Speaker) Mathemtical Finance Sympojium at Hong Kong University of Science and Technology 2005/1  2005 

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  • デリバティブの価格理論(エキゾティックオプションを中心に)

    藤田岳彦

    応用数理  2001.12 

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  • The generalized van der Corput sequence and its application to numerial integration

    藤田岳彦, 伊藤俊次, 二宮祥一

    数理解析研究所講究録 確率数値解析における諸問題Ⅴ  2001.10 

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  • Symbolical and geometrical characterizations of Kronecker sequences by using Brun's algotithm

    藤田岳彦, 伊藤俊次, 二宮祥一

    数理解析研究所講究録 確率数値解析における諸問題Ⅳ  2000.9 

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Research Projects

  • 無限分解可能分布論とその応用

    2008 - 2010

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  • the infinitely divisible distibution theory and its applications

    2008 - 2010

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  • ウィーナー汎関数解析とデリバティブ価格理論

    2005 - 2007

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  • Analyss of Wiener fuctional and Pricing theory of Derivatives

    2005 - 2007

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  • 新しい数学教育

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  • 新金融派生商品の開発とその価格付け

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  • New mathematical education

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  • Making and pricng of new exotic derivatives

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