Hiroshi SUGITA
Work in Mathematics


Department of Mathematics, Graduate School of Science, Osaka University
Toyonaka, Osaka 560-0043, Japan.
E-mail: sugita(@)math.sci.osaka-u.ac.jp

Last update: 31 July 2019


About "Monte Carlo method" --> Japanese / English


Papers and Books

H.SUGTA,
Probabilistic proof of mean-value theorem for multiplicative functions by means of adelic formulation,
preprint.

T.ACHIHA, H.SUGITA, K.TONOHIRO and Y.YAMAMOTO,
Generation of k-wise independent random variables with small randomness,
to appear in Monte Carlo Methods and Applications.

H. SUGITA,
Probability and Random Number---A First Guide to Randomness,
World Scientific, (2017), pp.140.
http://www.worldscientific.com/worldscibooks/10.1142/10662

H. SUGITA,
Random Weyl sampling---A secure Monte Carlo integration method,
Nonlinear Theory and Its Applications(NOLTA), IEICE/Special Section on Random/Pseudorandom Numbers,
7-1, (2016), 2--13.
Download page

杉田洋(H. SUGITA),
確率と乱数(Kakuritsu to ransū)
数学書房(Sugaku Shobo)20147(July 2014), pp.140.
まえがきと目次(Preface and Contents)

H. SUGITA,
Monte Carlo Method, Random Number, and Pseudorandom Number.
MSJ Memoirs 25, (2011), pp.xiv+133.
Distribution: World Scientific
Project Euclid: Download page
List of Errata (2013.05.24): Download

H. SUGITA,
Generalization and randomization of some number-theoretic special functions.
RIMS Kokyuroku 1590, (2008), 97--119.
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H. SUGITA and S. TAKANOBU,
The probability of two F_q-polynomials to be coprime.
in Proceedings of the International Conference on Probability and Number Theory 2005 in Kanazawa,
ASPM 49, (2007), 455--478.
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H. SUGITA,
Security of Pseudo-random Generator and Monte-Carlo Method.
Monte Carlo Methods and Appl
., 10-3, VSP(2004), 609--615.
Downlord page

H. SUGITA,
An analytic approach to secure pseudo-random generation.
Proceedings of 2003 Ritsumeikan Symposium on Stochastic Processes and its Applications to Mathematical Finance, World Scientific, (2004), 355--368.

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H. SUGITA,
複雑な関数の数値積分とランダムサンプリング(Numerical integration of complicated functions and random sampling).
「数学」("Sugaku"), 56-1, 岩波書店(Iwanami-shoten) (2004), 1--17.
Download (in Japanese)
Download (English translation, SUGAKU EXPOSITIONS, 19-2, AMS, December 2006, 153--169.)

H. SUGITA,
Monte-Carlo integration using cryptographically secure pseudo-random generator.
"Numerical Methods and Applications", Lecture Notes in Computer Science 2542, Springer (2003), 140--146.
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H. SUGITA and S. TAKANOBU,
The probability of two integers to be co-prime, revisited --- on the behavior of CLT-scaling limit.
Osaka J. Math., 40-4 (2003), 945--976.

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H.SUGITA,
Dynamic random Weyl sampling for drastic reduction of randomness in Monte Carlo integration.
Mathematics and Computers in Simulation 62 (2003), 529--537.

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H. KUBOTA and H. SUGITA,
Probabilistic proof of limit theorems in number theory by means of adeles.
Kyushu Jour. Math., 56 (2002), 391--404.

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H. SUGITA,
Robust numerical integration and pairwise independent random variables.
Jour. Comput. Appl. Math., 139 (2002), 1--8.

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H. SUGITA and S. TAKANOBU,
Limit theorem for Weyl transformation in infinite-dimensional torus and and central limit theorem for correlated multiple Wiener integrals.
J. Math. Sci. Univ. Tokyo, 7 (2000), 99--146.

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H. SUGITA and S. TAKANOBU,
Random Weyl sampling for robust numerical integration of complicated functions.
Monte Carlo Methods and Appl., 6-1,VSP (2000), 27--48.
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H. SUGITA and S. TANIGUCHI,
A remark on stochastic oscillatory integrals with respect to pinned Wiener measure.
Kyushu J. Math., 53-1 (1999), 151--162.
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H. SUGITA and S. TANIGUCHI,
Oscillatory integrals with quadratic phase function on a real abstract Wiener space.
J. Funct. Anal.
155-1 (1998), 229--262.
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H. SUGITA and S. TAKANOBU,
Limit theorem for symmetric statistics with respect to Weyl transformation: Disappearance of dependency.
J. Math. Kyoto Univ., 38-4 (1998), 653--671.

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H. SUGITA,
Holomorphic Wiener function.
New Trends in Stochastic Analysis, (Proceeding of a Taniguchi International workshop at Charingworth Manor, Sept.21-27, 1994) World Scientific, (1997), 399-415.
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H. SUGITA and S. TAKANOBU,
Accessibility of infinite-dimensional Brownian motion to holomorphically exceptional set.
Proc. Japan Acad. Ser. A Math. Sci. 71-9 (1995), 195--198.

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H. SUGITA,
Pseudo-random number generator by means of irrational rotation.
Monte Carlo Methods Appl. 1-1, VSP (1995), 35--57.

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H. SUGITA,
Regular version of holomorphic Wiener function.
J. Math. Kyoto Univ. 34-4 (1994), 849--857.

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H. SUGITA,
Properties of holomorphic Wiener functions --- skeleton, contraction, and local Taylor expansion.
Probab. Theory Related Fields
100-1 (1994), no. 1, 117--130.
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H. SUGITA,
Various topologies in the Wiener space and Levy's stochastic area.
Probab. Theory Related Fields
91 (1992), no. 3-4, 283--296.
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H. SUGITA,
Hu-Meyer's multiple Stratonovich integral and essential continuity of multiple Wiener integral.
Bull. Sci. Math. 113-4 (1989), 463--474.
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H. SUGITA,
Positive generalized Wiener functions and potential theory over abstract Wiener spaces.
Osaka J. Math.
25-3 (1988), 665--696.
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H. SUGITA,
On a characterization of the Sobolev spaces over an abstract Wiener space.
J. Math. Kyoto Univ. 25-4 (1985), 717--725.

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H. SUGITA,
Sobolev spaces of Wiener functionals and Malliavin's calculus.
J. Math. Kyoto Univ. 25-1 (1985), 31--48.

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