1. Universal Connection, SDE, Calculus on Loop Spaces, Preprint, 1996 (pdf file 184KB )
2. On a certain semiclassical problem on Wiener spaces, Publ.Res.Inst.Math.Sci. Vol.39 (2003), no.2, 365--392. ( pdf file 255KB.)
3. Witten Laplacian on pinned path group and its expected semiclassical behavior, to appear in the special issue, "Probability and Geometry" in IDAQP. ( pdf file 193KB. )
4. Semiclassical limit of the lowest eigenvalue of a Schr"odinger operator on a Wiener space, J.Funct.Anal. 203, (2003) no.2, 401--424. ( pdf file 231KB. )
5. Precise Gaussian estimates of heat kernels on asymptotically flat Riemannian manifolds with poles, to appear in Proceedings of the First Sino-German Conference on Stochastic Analysis. (pdf file, 210KB )
6. Weak Poincare inequalities on domains defined by Brownian rough paths, The Annals of Probability, 2004,Vol.32, No.4, 3116--3137. ( Final pdf file, 196KB ) ( The Annals of Probability. )
7. Resume of BIRS workshop at Banff ( pdf file,) (A proof of weak Poincare inequalities on loop spaces)
8. Semi-classical limit of the bottom of spectrum of a Schr\"odinger operator on a path space over a compact Riemannian manifold, J.Funct.Anal. (2007),
9. Rough path analysis: An Introduction. Probabilistic approach to geometry, 1--28, Adv.Stud.Pure Math., 57, Math.Soc.Japan, Tokyo, 2010. ( A4 page 22 pdf file ).
10. Hadamard's variation and Poincare's lemma on a certain non-convex domain, to appear in the Proceedings of RIMS Workshop on Stochastic Analysis and Applications, RIMS Kokyuroku Bessatsu ( A4 page 15 pdf file ).
11. Log-Sobolev inequalities with potential functions on pinned path groups, the special volume for Leonard Gross's 77 birthday, Communications on Stochastic Analysis, Vol.2, No.1, April, 2008.
12. Semi-classical limit of the lowest eigenvalue of a Schr\"odinger operator on a Wiener space: I.Unbounded one particle Hamiltonians, (final version, 2009, to appear in " Festchrift in honour of J.M. Bismut" in Asterisque (pdf file, 164kb ).
13. Semi-classical limit of the lowest eigenvalue of a Schr\"odinger operator on a Wiener space : II.P(\phi)_2-model on a finite volume, J. Funct. Anal. Vol. 256(2009) no.10, 3342--3367.
14. Vanishing of one dimensional L^2-cohomologies of loop group, Journal of Functional Analysis, Vol.261, issue 8, page 2164--2213, 2011, DOI: 10.1016/j.jfa.2011.06.003, arXiv:1108.5564.
15. COH formula and Dirichlet Laplacians on small domains of pinned path spaces, Concentration, functional inequalities and isoperimetry, 1--12, Contemp. Math., 545, Amer. Math. Soc., Providence, RI, 2011. pdf file .
16. Tunneling for spatially cut-off $P(\phi)_2$-Hamiltonians, J. Funct. Anal. Vol.263 no.9 (2012), 2689--2753, arXiv:1104.0486.
17. Wong-Zakai approximation of solutions to reflecting stochastic differential equations on domains in Euclidean spaces, Stochastic Process. Appl. Vol.123, Issue 10, (2013), 3800--3827, (joint work with Kosuke Sasaki), arXiv:1301.4023.
18. Wong-Zakai approximation of solutions to reflecting stochastic differential equations on domains in Euclidean spaces II, to appear in "Stochastic Analysis and Applications 2014 In Honour of Terry Lyons" Springer Proceedings in Mathematics and Statistics. arXiv:1401.2523.
19. Reflected rough differential equations, Stochastic Processes and Their Applications, 125, no.9, (2015), 3570-3595, pdf file 177kb arXiv:1311.6104.
20. Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds, Journal of Functional Analysis, 269 no.12 (2015), 3714-3764, doi:10.1016/j.jfa.2015.09.023, pdf file 262kb.
21. Rough differential equations containing path-dependent bounded variation terms, Journal of Theoretical Probability, (2024) vol.37, isuue 3, pages 2130--2183, open access

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