The Mézard-Parisi equation for matchings in pseudo-dimension \(d > 1\)
type: Item
instance of: scholarly article
title: The Mézard-Parisi equation for matchings in pseudo-dimension \(d > 1\)
zbMATH Open document ID: 1353.60011
author: Justin Salez
published in: Electronic Communications in Probability
publication date: 2015-08-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1409.2813
review text: This paper establishes existence and uniqueness of the solution to the cavity equation for the random assignment problem in pseudo-dimension \(d>1\), as conjectured by \textit{D. J. Aldous} and \textit{A. Bandyopadhyay} [Ann. Appl. Probab. 15, No. 2, 1047--1110 (2005; Zbl 1105.60012)] and \textit{J. Wästlund} [Ann. Math. (2) 175, No. 3, 1061--1091 (2012; Zbl 1262.91046)].
reviewed by: Ping Sun
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 90C35
zbMATH DE Number: 6473012
zbMATH Keywords: recursive distributional equation
zbMATH Keywords: random assignment problem
zbMATH Keywords: cavity method
MaRDI profile type: Publication
arXiv ID: 1409.2813
DOI: 10.1214/ECP.V20-3791
description: scientific article