Gibbs measures with double stochastic integrals on a path space

Volkerr Betz; Fumio Hiroshima

doi:10.1142/S0219025709003574

Gibbs measures with double stochastic integrals on a path space

Volkerr Betz
, Fumio Hiroshima

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

11 被引用数 (Scopus)

抄録

We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the PauliFierz model in nonrelativistic quantum electrodynamics, we prove the existence of its infinite volume limit.

本文言語	英語
ページ（範囲）	135-152
ページ数	18
ジャーナル	Infinite Dimensional Analysis, Quantum Probability and Related Topics
巻	12
号	1
DOI	https://doi.org/10.1142/S0219025709003574
出版ステータス	出版済み - 3月 2009

!!!All Science Journal Classification (ASJC) codes

統計物理学および非線形物理学
統計学および確率
数理物理学
応用数学

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title = "Gibbs measures with double stochastic integrals on a path space",

abstract = "We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the PauliFierz model in nonrelativistic quantum electrodynamics, we prove the existence of its infinite volume limit.",

keywords = "Double stochastic integral, Gibbs measures, Pauli-Fierz model",

author = "Volkerr Betz and Fumio Hiroshima",

note = "Funding Information: V.B. wishes to thank the University of Kyushu, Japan, where the present work was started, for kind hospitality. F.H. wishes to thank the University of Warwick in UK, where this work was partially done, for kind hospitality. V.B. was supported by an EPSRC fellowship EP/D07181X/1. F.H. was supported by Grant-in-Aid for Science Research (C) 17540181 and (B) 20340032 from JSPS.",

year = "2009",

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doi = "10.1142/S0219025709003574",

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AU - Hiroshima, Fumio

N1 - Funding Information: V.B. wishes to thank the University of Kyushu, Japan, where the present work was started, for kind hospitality. F.H. wishes to thank the University of Warwick in UK, where this work was partially done, for kind hospitality. V.B. was supported by an EPSRC fellowship EP/D07181X/1. F.H. was supported by Grant-in-Aid for Science Research (C) 17540181 and (B) 20340032 from JSPS.

PY - 2009/3

Y1 - 2009/3

N2 - We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the PauliFierz model in nonrelativistic quantum electrodynamics, we prove the existence of its infinite volume limit.

AB - We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the PauliFierz model in nonrelativistic quantum electrodynamics, we prove the existence of its infinite volume limit.

KW - Double stochastic integral

KW - Gibbs measures

KW - Pauli-Fierz model

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UR - https://www.scopus.com/pages/publications/65249119417#tab=citedBy

U2 - 10.1142/S0219025709003574

DO - 10.1142/S0219025709003574

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JO - Infinite Dimensional Analysis, Quantum Probability and Related Topics

JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics

IS - 1

ER -

Gibbs measures with double stochastic integrals on a path space

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!!!All Science Journal Classification (ASJC) codes

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