Research Output per year

## Fingerprint Dive into the research topics where Hiroshi Kawabi is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Gibbs Measure
Mathematics

Path Space
Mathematics

Stochastic Partial Differential Equations
Mathematics

Rough Paths
Mathematics

Dirichlet
Mathematics

Parabolic Partial Differential Equations
Mathematics

Abbreviation
Mathematics

Essential Self-adjointness
Mathematics

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## Research Output 2004 2018

## Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume

Kawabi, H., 2018 Jan 1,*Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016.*Springer New York LLC, Vol. 229. p. 461-471 11 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Dirichlet

Quantization

Open Problems

Uniqueness

Polynomial

2
Citations
(Scopus)

## Long time asymptotics of non-symmetric random walks on crystal lattices

Ishiwata, S., Kawabi, H. & Kotani, M., 2017 Feb 15, In : Journal of Functional Analysis. 272, 4, p. 1553-1624 72 p.Research output: Contribution to journal › Article

Long-time Asymptotics

Random walk

Crystal

Central limit theorem

Metric

8
Citations
(Scopus)

## Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions

Albeverio, S., Kawabi, H. & Röckner, M., 2012 Jan 15, In : Journal of Functional Analysis. 262, 2, p. 602-638 37 p.Research output: Contribution to journal › Article

Path Space

Gibbs Measure

Stochastic Dynamics

Dirichlet

Uniqueness

15
Citations
(Scopus)

## Asymptotic expansions for the Laplace approximations for Itô functionals of Brownian rough paths

Inahama, Y. & Kawabi, H., 2007 Feb 1, In : Journal of Functional Analysis. 243, 1, p. 270-322 53 p.Research output: Contribution to journal › Article

Rough Paths

Laplace Approximation

Asymptotic Expansion

Loop Space

Banach space

5
Citations
(Scopus)

## Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach

Kawabi, H. & Röckner, M., 2007 Jan 15, In : Journal of Functional Analysis. 242, 2, p. 486-518 33 p.Research output: Contribution to journal › Article

Essential Self-adjointness

Path Space

Gibbs Measure

Dirichlet

Ornstein-Uhlenbeck Operator