PHASE-TRANSITION AND ESCAPE SPEED FOR THE NONSYMMETRICAL DISCRETE EDWARDS MEASURE ON Z

Authors
VERMET F
Citation
F. Vermet, PHASE-TRANSITION AND ESCAPE SPEED FOR THE NONSYMMETRICAL DISCRETE EDWARDS MEASURE ON Z, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(6), 1996, pp. 567-570
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
6
Year of publication
1996
Pages
567 - 570
Database
ISI
SICI code
0764-4442(1996)322:6<567:PAESFT>2.0.ZU;2-Z
Abstract
We study a non necessarily symmetric discrete Edwards model on Z, and we prove the existence of a repulsion/attraction phase transition for a critical value lambda(c) of the repulsion coefficient lambda, which depends on the parameter p of the associated asymmetric random walk. I n the self-repellent case, we give the deterministic escape speed, whi ch is a function of lambda and p.