TY - JOUR
T1 - Gibbs measures with double stochastic integrals on a path space
AU - Betz, Volkerr
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.
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U2 - 10.1142/S0219025709003574
DO - 10.1142/S0219025709003574
M3 - Article
AN - SCOPUS:65249119417
VL - 12
SP - 135
EP - 152
JO - Infinite Dimensional Analysis, Quantum Probability and Related Topics
JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics
SN - 0219-0257
IS - 1
ER -