BEREZIN INTEGRALS AND POISSON PROCESSES

Authors
DEANGELIS GF JONALASINIO G SIDORAVICIUS V
Citation
Gf. Deangelis et al., BEREZIN INTEGRALS AND POISSON PROCESSES, Journal of physics. A, mathematical and general, 31(1), 1998, pp. 289-308
Citations number
20
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
1
Year of publication
1998
Pages
289 - 308
Database
ISI
SICI code
0305-4470(1998)31:1<289:BIAPP>2.0.ZU;2-B
Abstract
We show that the calculation of Berezin integrals over anticommuting v ariables can be reduced to the evaluation of expectations of functiona ls of Poisson processes via an appropriate Feynman-Kac formula. In thi s way the tools of ordinary analysis can be applied to Berezin integra ls and, as an example, we prove a simple upper bound. Possible applica tions of our results are briefly mentioned.