S. Aida

发表

Uniform Positivity Improving Property, Sobolev Inequalities, and Spectral Gaps

S. Aida, 1998 .

Logarithmic Sobolev Inequalities and Exponential Integrability

S. Aida, T. Masuda, I. Shigekawa, 1994 .

Precise Gaussian estimates of heat kernels on asymptotically flat Riemannian manifolds with poles

S. Aida, 2004 .

Moment estimates derived from Poincar'e and log-arithmic Sobolev inequalities

Daniel W. Stroock, Shigeki Aida, D. Stroock, 1994 .

Wong-Zakai approximations for re(cid:13)ecting SDE

S. Aida, 2020 .

Tunneling for spatially cut-off $P(phi)_2$-Hamiltonians (Progress in Variational Problems : Variational Problems Interacting with Probability Theories)

S. Aida, 2011, 1104.0486.

On a Certain Semiclassical Problem on Wiener Spaces

S. Aida, 2003 .

Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds

S. Aida, 2014, 1401.6739.

Wong-Zakai approximation of solutions to reflecting stochastic differential equations on domains in Euclidean spaces II

S. Aida, Kosuke Sasaki, 2013, 1401.2523.

Vanishing of one dimensional L^2-cohomologies of loop groups

S. Aida, 2011, 1108.5564.

Short Time Asymptotics of a Certain Infinite Dimensional Diffusion Process

S. Aida, Hiroshi Kawabi, 2001 .

Support theorem for diffusion processes on Hilbert spaces

S. Aida, 1990 .

Tunneling for spatially cut-off P ( φ ) 2-Hamiltonians

S. Aida, 2012 .

Semi-classical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space: II. P(ϕ)2-model on a finite volume

S. Aida, 2009 .

Logarithmic Sobolev Inequalities and Spectral Gaps: Perturbation Theory

S. Aida, I. Shigekawa, 1994 .

Semi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifold

S. Aida, 2007 .

On the Small Time Asymptotics of Diffusion Processes on Path Groups

Tusheng Zhang, S. Aida, 2002 .

Error analysis for approximations to one-dimensional SDEs via the perturbation method

S. Aida, Nobuaki Naganuma, 2019, 1911.11402.

Rough path analysis: An introduction

S. Aida, 2010 .

Weak Poincaré inequalities on domains defined by Brownian rough paths

S. Aida, 2004, math/0503587.

An Estimate of the Gap of Spectrum of Schrödinger Operators which Generate Hyperbounded Semigroups

S. Aida, 2001 .

Differential calculus on path and loop spaces. II. Irreducibility of Dirichlet forms on loop spaces

S. Aida, 1998 .

Logarithmic Derivatives of Heat Kernels and Logarithmic Sobolev Inequalities with Unbounded Diffusion Coefficients on Loop Spaces

S. Aida, 2000 .

Precise Gaussian Lower Bounds on Heat Kernels

S. Aida, 2001 .

Semi-classical limit of the generalized second lowest eigenvalue of Dirichlet Laplacians on small domains in path spaces

S. Aida, 2011, 1110.2307.