Kyushu University Academic Staff Educational and Research Activities Database
List of Papers
Setsuo Taniguchi Last modified date:2021.10.08

Professor / Division for Theoretical Natural Science / Faculty of Arts and Science


Papers
1. Setsuo Taniguchi, Two of Kunita's papers on stochastic flows in early 1980s, Jornal of Stochastic Analysis, 10.31390/josa.2.3.09, 2, 3, 2021.09.
2. Yuzuru Inamaha, Setsuo Tangiuchi, Heat trace asymptotics on equiregular sub-Riemannian manifolds, Journal of Mathematical Society of Japan, 10.2969/jmsj/82348234, 72, 4, 1049-1096, 2020.10, We study a “div-grad type” sub-Laplacian with respect to a smooth measure and its associated heat semigroup on a compact equiregular sub-Riemannian manifold. We prove a short time asymptotic expansion of the heat trace up to any order. Our main result holds true for any smooth measure on the manifold, but it has a spectral geometric meaning when Popp’s measure is considered. Our proof is probabilistic. In particular, we use Watanabe’s distributional Malliavin calculus..
3. Setsuo Taniguchi, An application of the partial Malliavin calculus to Baouendi-Grushin operators, Kyushu Journal of Mathematics, 10.2206/kyushujm.73.417, 73, 2, 417-431, 2019.08.
4. Satoru Uchida, Keiko Shimojo, Tomoaki Watanabe, Shingo Saito,Setsuo Taniguchi, Vocabulary comparison in works of American prose: An intrdisciplinary analysis using Word2vec, Studies in English Language and Literature, 68, 71-84, 2018.03.
5. Yuzuru Inahama, Setsuo Taniguchi, Short time full asymptotic expansion of hypoelliptic heat kernel at the cut locus, Forum of Mathematics, Sigma, 10.1017/fms.2017.14, 5, 2017.07.
6. Setsuo Taniguchi, A construction of diffusion processes associated with sub-Laplacian on CR manifolds and its applications, Jour. Math. Soc. Japan, 10.2969/jmsj/06910111, 69, 1, 111-125, 2017.01.
7. Setsuo Taniguchi, A new class of amplitude functions for the stationary phase method on an abstract Wiener space, Kyushu Jour. Math., 10.2206/kyushujm.69.219, 69, 219-228, 2015.03.
8. Hiroki Kondo, Shingo Saito, and Setsuo Taniguchi, Asymptotic tail dependence of the normal copula, Jour. Math-for-Industry, 4, 73-78, 2012.04.
9. Nobuyuki Ikeda and Setsuo Taniguchi, Euler polynomials, Bernoulli polynomials, and Lévy’s stochastic area formula, Bull. Sci. math., 10.1016/j.bulsci.2011.07.009, 135, 684–694, 2011.09.
10. Takehiro Hirotsu, Hiroki Kondo, Shingo Saito, Takuya Sato, Tatsushi Tanaka, and Setsuo Taniguchi, Anderson-Darling test and the Malliavin calculus, Journal of Math-for-Industry, 3, 73-78, 2011.04.
11. Nobuyuki Ikeda, Setsuo Taniguchi, The Itô-Nisio theorem, quadratic Wiener functionals, and 1-solitons, Stochastic Processes and their Applications , 10.1016/j.spa.2010.01.009, 120, 605-621, 2010.02.
12. Setsuo Taniguchi, A Wiener integral approach to non-commutative harmonic oscillators, Kyushu Jour. Math. , 63-2, 347-352., 2009.09.
13. Takehiro Hirotsu and Setsuo Taniguchi, The random walk model revisited , Journal of Math-for-Industry, 2009A, 1-6, 2009.04.
14. Setsuo Taniguchi, Quadratic Wiener functionals of square norms on measure spaces, Communications on Stochastic Analysis, Vol.2, No.1, 11-26, 2008.04.
15. Setsuo Taniguchi, The heat semigroup and kernel associated with certain non-commutative haramonic oscillators, Kyushu Jour. Math., 62-1 (2008), 63-68.
, 2008.03.
16. Setsuo Taniguchi, Stochastic calculus and the KdV equation , "Stochastic Analysis and Partial Differential equations", Contemp. Math., 429 (2007), 245-256., 2007.05.
17. Setsuo Taniguchi, On the Jacobi field approach to stochastic oscillatory integrals with quadratic phase function, Kyushu Jour. Mathematics, 61-1, 191-208, 2007.03.
18. Setsuo Taniguchi, On the Quadratic Wiener Functional Associated with the Malliavin Derivative of the Square Norm of Brownian Sample Path on Interval, Electron. Comm. Probab, 11, 1-10, 2006.01.
19. Setsuo Taniguchi, Brownian sheet and reflectionless potentials, Stoch. Pro. Appl, 116-2, 293-309, 2006.01.
20. N. Ikeda、S.Taniguchi, Quadratic Wiener functionals, Kalman-Bucy filters, and the KdV equation, Advanced Study in Pure Math., 41, p167--187, 2004.01.
21. Setsuo Taniguchi, Stochastic oscillatory integrals: Asymptotics and exact expressions for quadratic phase function, Stochstic analysis and mathematical physics (SAMP/ANESTOC 2002)", ed. R. Rebolledo, J. Resende, and J.-C. Zambrini, 10.1142/9789812702364_0008, 165-181, 165-181, 2004.01.
22. Setsuo Taniguchi, On Wiener functionals of order 2 associated with soliton solutions of the KdV equation, Stochstic analysis and mathematical physics (SAMP/ANESTOC 2002)", ed. R. Rebolledo, J. Resende, and J.-C. Zambrini, 165-181, 2004.01.
23. Setsuo Taniguchi, Exponential decay of stochastic oscillatory integrals on classical Wiener spaces, Journal of Mathematical Society of Japan, 10.2969/jmsj/1196890842, 55, 1, 59-79, Vol. 55, no.1, 59--79, 2003.01.
24. Setsuo Taniguchi, Hiroyuki Matsumoto, Wiener functionals of second order and their Levy measures, Electronic Journal of Probability, Vol. 7, No. 14, 1--30, 2002.01.
25. Setsuo Taniguchi, A.-B. Cruzeiro, and P. Malliavin, Ground state estimations in gauge theory, Bulletin des Sciences Mathematiques, 10.1016/S0007-4497(01)01102-2, 125, 6-7, 623-640, Vol. 125, no. 6-7, 623--640, 2001.01.
26. Setsuo Taniguchi, Analytic functions on abstract Wiener spaces, Journal of Functional Analysis, 10.1006/jfan.2000.3676, 179, 1, 235-250, Vol. 179, no. 1, 235--250, 2001.01.
27. Setsuo Taniguchi, Levy's stochastic area and the principle of stationary phase, Journal of Functional Analysis, 10.1006/jfan.1999.3540, 172, 1, 165-176, Vol. 172, no. 1, 165--176, 2000.01.
28. Setsuo Taniguchi, Stochastic oscillatory integrals with quadratic phase function and Jacobi equations, Probability Theory and Related Fields, 10.1007/s004400050227, 114, 3, 291-308, Vol. 114, no. 3, 291--308, 1999.01.
29. Daniel W. Stroock and Setsuo Taniguchi, Diffusions as integral curves on manifolds and Lie groups, "Probability theory and mathematical statistics (St. Petersburg, 1993)", 219-226, 1996.01.
30. Setsuo Taniguchi, On the analyticity of stochastic flows, Osaka Journal of Mathematics, 36, 1, 139-148, Vol. 36, no. 1, 139--148, 1999.01.
31. Setsuo Taniguchi, Hiroshi Sugita, A remark on stochastic oscillatory integrals with respect to a pinned Wiener measure, Kyushu Journal of Mathematics, Vol. 53, no. 1, 151--162, 1999.01.
32. Setsuo Taniguchi, Hiroshi Sugita, Oscillatory integrals with quadratic phase function on a real abstract Wiener space, Journal of Functional Analysis, 10.1006/jfan.1997.3223, 155, 1, 229-262, Vol. 155, no. 1, 229--262., 1998.01.
33. Setsuo Taniguchi, On the exponential decay of oscillatory integrals on an abstract Wiener space, Journal of Functional Analysis, 10.1006/jfan.1997.3185, 154, 2, 424-443, Vol. 154 no. 2, 424--443, 1998.01.
34. Paul Malliavin and Setsuo Taniguchi, Analytic functions, Cauchy formula, and stationary phase on a real abstract Wiener space, J. Funct. Anal., 10.1006/jfan.1996.2989, 143, 2, 470-528, 143-2, 470-528, 1997.01.
35. Ichiro Shigekawa and Setsuo Taniguchi, A Kahler metric on a based loop group and a covariant differentiation, in "Ito's stochastic calculus and probability theory", 327--346, 1996.01.
36. Setsuo Taniguchi, Almost complex structures on path groups, in "Stochastic analysis and applications (Powys, 1995)", 419--428, 1996.01.
37. Setsuo Taniguchi, On Ricci curvatures of hypersurfaces in abstract Wiener spaces, J. Funct. Anal., 10.1006/jfan.1996.0028, 136, 1, 226-244, 136-1, 226-244, 1996.01.
38. Yukio Ogura and Setsuo Taniguchi, A probabilistic scheme for collapse of metrics, J. Math. Kyoto Univ., 36, 1, 73-92, 36-1, 73-92, 1996.01.
39. Setsuo Taniguchi, On almost complex structures on abstract Wiener spaces, Osaka J. Math., 33, 1, 189-206, 33-1, 189-206, 1996.01.
40. Setsuo Taniguchi, Holomorphic functions on balls in an almost complex abstract Wiener space, J. Math. Soc. Japan, 10.2969/jmsj/04740655, 47, 4, 655-670, 47-4, 655-670, 1995.01.
41. Daniel W. Stroock and Setsuo Taniguchi, Diffusions as integral curves, or Stratonovich without Ito, in "The Dynkin Festschrift", 333--369, 1994.01.
42. Shigeo Kusuoka and Setsuo Taniguchi, Pseudoconvex domains in almost complex abstract Wiener spaces, J. Funct. Anal., 10.1006/jfan.1993.1123, 117, 1, 62-117, 117-1, 62-117, 1993.01.
43. Ichiro Shigekawa and Setsuo Taniguchi, Dirichlet forms on separable metric spaces, in "Probability theory and mathematical statistics (Kiev, 1991)", 324-353, 1992.01.
44. Masatoshi Fukushima, Ken-ichi Sato, and Setsuo Taniguchi, On the closable parts of pre-Dirichlet forms and the fine supports of underlying measures, Osaka J. Math., 28, 3, 517-535, 28-3, 517-535, 1991.01.
45. Setsuo Taniguchi, The explosion property of holomorphic diffusion processes on a bounded pseudoconvex domain in Cn and its applications, J. Math. Kyoto Univ., 31, 2, 573-582, 31-2, 573-582, 1991.01.
46. Setsuo Taniguchi, On the Šilov boundary of a pseudoconvex domain in Cn with C2+α boundary, J. Funct. Anal., 10.1016/0022-1236(91)90053-8, 99, 1, 100-109, 99-1, 100-109, 1991.01.
47. Setsuo Taniguchi, Stochastic flows of diffeomorphisms on an open set in Rn, Stoch. Stoch. Rep., 28-4, 301-315, 1989.01.
48. Setsuo Taniguchi, Explosion problem for holomorphic diffusion processes and its applications, Osaka J. Math., 26, 4, 931-951, 26-4, 931-951, 1989.01.
49. Setsuo Taniguchi, Kähler diffusion processes associated with the Bergman metric and domains of holomorphy, , Proc. Japan Acad. Ser. A, Math. Sci., 64-6, 184-186, 1988.01.
50. Setsuo Taniguchi, Conformal martingale diffusions and Shilov boundary, in "Potential theory and its related fields", ,RIMS Kyoto Univ. Kokyuro, 610, 145-156, 1987.01.
51. Hiroshi Kaneko and Setsuo Taniguchi, A stochastic approach to the Silov boundary, J. Funct. Anal., 10.1016/0022-1236(87)90032-2, 74, 2, 415-429, 74-2, 415-429, 1987.01.
52. Daniel W. Stroock and Setsuo Taniguchi, Regular points for the first boundary value problem associated with degenerate elliptic operators, in "Probability theory and harmonic analysis (Cleveland, Ohio, 1983)", 183--194, 1986.01.
53. Nobuyuki Ikeda, Ichiro Shigekawa, and Setsuo Taniguchi, The Malliavin calculus and long time asymptotics of certain Wiener integrals, , in "Miniconference on linear analysis and function spaces (Canberra, 1984)", Proc. Centre Math. Anal. Austral. Nat. Univ., 9, 46-113, 1985.01.
54. Setsuo Taniguchi, Applications of Malliavin's calculus to time-dependent systems of heat equations, Osaka J. Math., 22, 2, 307-320, 22-2, 307-320, 1985.01.
55. Setsuo Taniguchi, Malliavin's stochastic calculus of variations for manifold-valued Wiener functionals and its applications, Z. Wahrsch. Verw. Gebiete, 10.1007/BF00532483, 65, 2, 269-290, 65-2, 269-290, 1983.01.