Random Polymers and Generalized Urn Processes

2018/07/10 by Franchini, Simone, Balzan, Riccardo · 3 citations
#60F05 #60K35 #82B41 #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1807.03461

Abstract

We describe a microcanonical approach for polymer models that combines atmospheric methods with urn theory. We show that Large Deviation Properties of urn models can provide quite deep mathematical insight by analyzing the Random Walk Range problem in ℤ^d. We also provide a new mean field theory for the Range Problem that is exactly solvable by analogy with the Bagchi-Pal urn model.

Cited by

• Elephant Random Walk with multiple extractions
• Large deviations for Generalized Polya Urns with non-binary increments
• The Urn of Hill, Lane and Sudderth

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