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


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/65198

Title:	The Quenched Critical Point for Self-Avoiding Walk on Random Conductors
Authors:	Chino, Yuki Browse this author
Authors:	Sakai, Akira Browse this author →KAKEN DB
Keywords:	Disordered systems
	Self-avoiding walk
	Random medium
	Critical point
Issue Date:	May-2016
Publisher:	Springer
Journal Title:	Journal of Statistical Physics
Volume:	163
Issue:	4
Start Page:	754
End Page:	764
Publisher DOI:	10.1007/s10955-016-1477-0
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 Zd 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 d ≥ 1.
Rights:	The final publication is available at Springer via http://dx.doi.org/10.1007/s10955-016-1477-0
Type:	article (author version)
URI:	http://hdl.handle.net/2115/65198
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 坂井哲

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