The Quenched Critical Point for Self-Avoiding Walk on Random Conductors

Yuki Chino; Akira Sakai

doi:10.1007/s10955-016-1477-0

The Quenched Critical Point for Self-Avoiding Walk on Random Conductors

Yuki Chino^*
, Akira Sakai

^*Corresponding author for this work

Department of Applied Mathematics

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

1 Scopus citations

Abstract

Following similar analysis to that in Lacoin (Probab Theory Relat Fields 159: 777–808, 2014), we can show that the quenched critical point for self-avoiding walk on random conductors on (Formula presented.) is almost surely a constant, which does not depend on the location of the reference point. We provide upper and lower bounds which are valid for all (Formula presented.).

Original language	English
Pages (from-to)	754-764
Number of pages	11
Journal	Journal of Statistical Physics
Volume	163
Issue number	4
DOIs	https://doi.org/10.1007/s10955-016-1477-0
State	Published - 1 May 2016

Keywords

Critical point
Disordered systems
Random medium
Self-avoiding walk

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10.1007/s10955-016-1477-0

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abstract = "Following similar analysis to that in Lacoin (Probab Theory Relat Fields 159: 777–808, 2014), we can show that the quenched critical point for self-avoiding walk on random conductors on (Formula presented.) is almost surely a constant, which does not depend on the location of the reference point. We provide upper and lower bounds which are valid for all (Formula presented.).",

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AB - Following similar analysis to that in Lacoin (Probab Theory Relat Fields 159: 777–808, 2014), we can show that the quenched critical point for self-avoiding walk on random conductors on (Formula presented.) is almost surely a constant, which does not depend on the location of the reference point. We provide upper and lower bounds which are valid for all (Formula presented.).

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KW - Disordered systems

KW - Random medium

KW - Self-avoiding walk

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The Quenched Critical Point for Self-Avoiding Walk on Random Conductors

Abstract

Keywords

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