Zobrazeno 1 - 10
of 846
pro vyhledávání: '"82B41"'
Autor:
Franchini, Simone
In this thesis we study in detail the self-intersection properties of Random Walks. Although notoriously hard to tackle, these properties are crucially related to the excluded-volume effect and other central features of real polymers. Our main purpos
Externí odkaz:
http://arxiv.org/abs/2412.10485
Autor:
Noda, Ryoichiro
In this paper, we prove that if a sequence of electrical networks converges in the local Gromov-Hausdorff topology and satisfies a non-explosion condition, then the associated Bouchaud trap models (BTMs) also converge and exhibit aging. Moreover, whe
Externí odkaz:
http://arxiv.org/abs/2412.08236
Autor:
Liu, Yucheng, Slade, Gordon
We analyse generating functions for trees and for connected subgraphs on the complete graph, and identify a single scaling profile which applies for both generating functions in a critical window. Our motivation comes from the analysis of the finite-
Externí odkaz:
http://arxiv.org/abs/2412.05503
Autor:
Liu, Yucheng, Slade, Gordon
We consider spread-out models of lattice trees and lattice animals on $\mathbb Z^d$, for $d$ above the upper critical dimension $d_{\mathrm c}=8$. We define a correlation length and prove that it diverges as $(p_c-p)^{-1/4}$ at the critical point $p_
Externí odkaz:
http://arxiv.org/abs/2412.05491
Autor:
Henning, Florian, Kuelske, Christof
We provide a general theory of height-offset variables and their properties for nearest-neighbor integer-valued gradient models on trees. This notion goes back to Sheffield [25], who realized that such tail-measurable variables can be used to associa
Externí odkaz:
http://arxiv.org/abs/2411.13465
We give a sum over weighted planar surfaces formula for Wilson loop expectations in the large-$N$ limit of strongly coupled lattice Yang-Mills theory, in any dimension. The weights of each surface are simple and expressed in terms of products of sign
Externí odkaz:
http://arxiv.org/abs/2411.11676
Autor:
Duminil-Copin, Hugo, Panis, Romain
This article proposes a new way of deriving mean-field exponents for sufficiently spread-out Bernoulli percolation in dimensions $d>6$. We obtain an upper bound for the full-space and half-space two-point functions in the critical and near-critical r
Externí odkaz:
http://arxiv.org/abs/2410.03647
Autor:
Makowiec, Luca
We study the edge overlap and local limit of the random spanning tree in random environment (RSTRE) on the complete graph with $n$ vertices and weights given by $\exp(-\beta \omega_e)$ for $\omega_e$ uniformly distributed on $[0,1]$. We show that for
Externí odkaz:
http://arxiv.org/abs/2410.16836
We introduce a new spanning tree model called the random spanning tree in random environment (RSTRE), which interpolates between the uniform spanning tree and the minimum spanning tree as the inverse temperature (disorder strength) $\beta$ varies. On
Externí odkaz:
http://arxiv.org/abs/2410.16830
A new ``Percolation with Clustering'' (PWC) model is introduced, where (the probabilities of) site percolation configurations on the leaf set of a binary tree are rewarded exponentially according to a generic function, which measures the degree of cl
Externí odkaz:
http://arxiv.org/abs/2410.13551