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1

A Stochastic Taylor-Like Expansion in the Rough Path Theory

Journal:

Journal of Theoretical Probability

Year:

2010

Language:

english

File:

PDF, 890 KB

english, 2010

2

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

Yuzuru Inahama, Hiroshi Kawabi

Journal:

Journal of Functional Analysis

Year:

2007

Language:

english

File:

PDF, 440 KB

english, 2007

3

Malliavin differentiability of solutions of rough differential equations

Inahama, Yuzuru

Journal:

Journal of Functional Analysis

Year:

2014

Language:

english

File:

PDF, 413 KB

english, 2014

4

Logarithmic Sobolev Inequality on Free Loop Groups for Heat Kernel Measures Associated with the General Sobolev Spaces

Journal:

Journal of Functional Analysis

Year:

2001

Language:

english

File:

PDF, 286 KB

english, 2001

5

Laplace's method for the laws of heat processes on loop spaces

Journal:

Journal of Functional Analysis

Year:

2006

Language:

english

File:

PDF, 461 KB

english, 2006

6

Convergence of finite dimensional distributions of heat kernel measures on loop groups

Journal:

Journal of Functional Analysis

Year:

2003

Language:

english

File:

PDF, 282 KB

english, 2003

7

Eigenvalue asymptotics for the Schrödinger operators on the hyperbolic plane

Yuzuru Inahama, Shin-ichi Shirai

Journal:

Journal of Functional Analysis

Year:

2004

Language:

english

File:

PDF, 323 KB

english, 2004

8

LARGE DEVIATIONS FOR HEAT KERNEL MEASURES ON LOOP SPACES VIA ROUGH PATHS

INAHAMA, YUZURU, KAWABI, HIROSHI

Journal:

Journal of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 265 KB

english, 2006

9

Some estimates of the logarithmic Sobolev constants on manifolds with boundary and an application to the Ising models

Inahama, Yuzuru

Journal:

Journal of Mathematics of Kyoto University

Year:

2001

Language:

english

File:

PDF, 243 KB

english, 2001

10

Large deviation principle for certain spatially lifted Gaussian rough path

Inahama, Yuzuru

Journal:

Tohoku Mathematical Journal

Year:

2015

Language:

english

File:

PDF, 264 KB

english, 2015

11

Eigenvalue asymptotics for the Schrödinger operators on the real and the complex hyperbolic spaces

Yuzuru Inahama, Shin-Ichi Shirai

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2004

Language:

english

File:

PDF, 329 KB

english, 2004

12

The essential spectrum of Schrödinger operators with asymptotically constant magnetic fields on the Poincaré upper-half plane

Inahama, Yuzuru, Shirai, Shin-ichi

Journal:

Journal of Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 483 KB

english, 2003

13

Spectral properties of Pauli operators on the Poincaré upper-half plane

Inahama, Yuzuru, Shirai, Shin-ichi

Journal:

Journal of Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 363 KB

english, 2003

14

QUASI-SURE EXISTENCE OF BROWNIAN ROUGH PATHS AND A CONSTRUCTION OF BROWNIAN PANTS

INAHAMA, YUZURU

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2006

Language:

english

File:

PDF, 239 KB

english, 2006

15

LOGARITHMIC SOBOLEV INEQUALITY FOR -METRIC ON PINNED LOOP GROUPS

INAHAMA, YUZURU

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2004

Language:

english

File:

PDF, 264 KB

english, 2004

16

Short time kernel asymptotics for Young SDE by means of Watanabe distribution theory

INAHAMA, Yuzuru

Journal:

Journal of the Mathematical Society of Japan

Year:

2016

Language:

english

File:

PDF, 374 KB

english, 2016

17

Laplace approximation for rough differential equation driven by fractional Brownian motion

Inahama, Yuzuru

Journal:

The Annals of Probability

Year:

2013

Language:

english

File:

PDF, 340 KB

english, 2013

18

Short time kernel asymptotics for rough differential equation driven by fractional Brownian motion

Inahama, Yuzuru

Journal:

Electronic Journal of Probability

Year:

2016

Language:

english

File:

PDF, 544 KB

english, 2016

19

Large Deviations for Rough Path Lifts of Watanabe's Pullbacks of Delta Functions

Inahama, Yuzuru

Journal:

International Mathematics Research Notices

Year:

2016

Language:

english

File:

PDF, 451 KB

english, 2016

20

Stochastic complex Ginzburg-Landau equation with space-time white noise

Hoshino, Masato, Inahama, Yuzuru, Naganuma, Nobuaki

Journal:

Electronic Journal of Probability

Year:

2017

Language:

english

File:

PDF, 766 KB

english, 2017

21

A moment estimate of the derivative process in rough path theory

Inahama, Yuzuru

Journal:

Proceedings of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 185 KB

english, 2012

22

Rough path theory and stochastic calculus

Inahama, Yuzuru

Journal:

Sugaku Expositions

Year:

2019

Language:

english

File:

PDF, 316 KB

english, 2019

23

SHORT TIME FULL ASYMPTOTIC EXPANSION OF HYPOELLIPTIC HEAT KERNEL AT THE CUT LOCUS

INAHAMA, YUZURU, TANIGUCHI, SETSUO

Journal:

Forum of Mathematics, Sigma

Year:

2017

Language:

english

File:

PDF, 732 KB

english, 2017

24

Stochastic flows and rough differential equations on foliated spaces

Inahama, Yuzuru, Suzaki, Kiyotaka

Journal:

Bulletin des Sciences Mathématiques

Year:

2020

File:

PDF, 543 KB

2020

25

ASYMPTOTIC EXPANSION OF THE DENSITY FOR HYPOELLIPTIC ROUGH DIFFERENTIAL EQUATION

INAHAMA, YUZURU, NAGANUMA, NOBUAKI

Journal:

Nagoya Mathematical Journal

Year:

2019

File:

PDF, 655 KB

2019