Volume Growth and Escape Rate of Brownian Motion on a Cartan-Hadamard Manifold

E.P. Hsu; A. Grigorian

doi:10.1007/978-0-387-85650-6_10

Volume Growth and Escape Rate of Brownian Motion on a Cartan-Hadamard Manifold

E.P. Hsu, A. Grigorian

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove an upper bound for the escape rate of Brownian motion on a Cartan-Hadamard manifold in terms of the volume growth function. One of the ingredients of the proof is the Sobolev inequality on such manifolds.

Original language	English
Pages (from-to)	209
Journal	Sobolev Spaces in Mathematics, International Mathematical Series
Volume	9
DOIs	https://doi.org/10.1007/978-0-387-85650-6_10
State	Published - 2009

Access to Document

10.1007/978-0-387-85650-6_10

Cite this

@article{488340af6c664444bf863aca1d95cef4,

title = "Volume Growth and Escape Rate of Brownian Motion on a Cartan-Hadamard Manifold",

abstract = "We prove an upper bound for the escape rate of Brownian motion on a Cartan-Hadamard manifold in terms of the volume growth function. One of the ingredients of the proof is the Sobolev inequality on such manifolds.",

author = "E.P. Hsu and A. Grigorian",

year = "2009",

doi = "10.1007/978-0-387-85650-6_10",

language = "English",

volume = "9",

pages = "209",

journal = "Sobolev Spaces in Mathematics, International Mathematical Series",

}

TY - JOUR

T1 - Volume Growth and Escape Rate of Brownian Motion on a Cartan-Hadamard Manifold

AU - Hsu, E.P.

AU - Grigorian, A.

PY - 2009

Y1 - 2009

N2 - We prove an upper bound for the escape rate of Brownian motion on a Cartan-Hadamard manifold in terms of the volume growth function. One of the ingredients of the proof is the Sobolev inequality on such manifolds.

AB - We prove an upper bound for the escape rate of Brownian motion on a Cartan-Hadamard manifold in terms of the volume growth function. One of the ingredients of the proof is the Sobolev inequality on such manifolds.

U2 - 10.1007/978-0-387-85650-6_10

DO - 10.1007/978-0-387-85650-6_10

M3 - Article

VL - 9

SP - 209

JO - Sobolev Spaces in Mathematics, International Mathematical Series

JF - Sobolev Spaces in Mathematics, International Mathematical Series

ER -

Volume Growth and Escape Rate of Brownian Motion on a Cartan-Hadamard Manifold

Abstract

Access to Document

Fingerprint

Cite this