Zobrazeno 1 - 10
of 143
pro vyhledávání: '"82B30"'
Autor:
Indrei, Emanuel, Karakhanyan, Aram
In this paper we completely settle the Almgren problem in $\mathbb R^3$ under some generic conditions on the potential and tension functions. The problem, among other things, appears in classical thermodynamics when one is to understand if minimizing
Externí odkaz:
http://arxiv.org/abs/2406.00241
Autor:
Rigas, Pete
We extend an operator formalism, developed by Hongler, Kyt\"ol\"a, and Zahabi in 2012 for the Ising model, to the Ashkin-Teller and loop $\mathrm{O} ( n ) $ models. The formalism is primarily dependent upon notions of massive, and massless, s-holomor
Externí odkaz:
http://arxiv.org/abs/2310.08212
Autor:
Süzen, Mehmet
A pedagogical formulation of Loschmidt's paradox and H-theorem is presented with basic notation on occupancy on discrete states without invoking velocity collision operators. A conjecture, so called H-theorem do-conjecture, is formulated. Causal infe
Externí odkaz:
http://arxiv.org/abs/2310.01458
Autor:
Glazman, Alexander, Lammers, Piet
We prove the existence of macroscopic loops in the loop O(2) model with $\frac12\leq x^2\leq 1$ or, equivalently, delocalisation of the associated integer-valued Lipschitz function on the triangular lattice. This settles one side of the conjecture of
Externí odkaz:
http://arxiv.org/abs/2306.01527
We consider here a dynamic model for a gas in which a variable number of particles $N \in \mathbb{N}_0 := \mathbb{N} \cup \{0\}$ can be located at a site. This point of view leads us to the grand-canonical framework and the need for a chemical potent
Externí odkaz:
http://arxiv.org/abs/2305.01590
This work presents a systematic methodology for describing the transient dynamics of coarse-grained molecular systems inferred from all-atom simulated data. We suggest Langevin-type dynamics where the coarse-grained interaction potential depends expl
Externí odkaz:
http://arxiv.org/abs/2302.05159
Autor:
Morava, Jack
The language of Harvey-Lawson currents and sparks may be useful for the study of Hopkins-Singer Wu classes in geometric topology, via equivariant Tate $K$-theory of circle actions and distributional generalizations of classical zeta functions.
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Externí odkaz:
http://arxiv.org/abs/2301.05772
Autor:
Rigas, Pete
To obtain Russo-Seymour-Welsh estimates for the height function of the six-vertex model under sloped boundary conditions, which can be leveraged to demonstrate that the height function logarithmically delocalizes under a broader class of boundary con
Externí odkaz:
http://arxiv.org/abs/2211.14934
Autor:
Lammers, Piet
Height functions are random functions on a given graph, in our case integer-valued functions on the two-dimensional square lattice. We consider gradient potentials which (informally) lie between the discrete Gaussian and solid-on-solid model (inclusi
Externí odkaz:
http://arxiv.org/abs/2211.14365
Autor:
Lammers, Piet, Toninelli, Fabio
Publikováno v:
Combinatorics, Probability and Computing Volume 33 , Issue 1 , January 2024 , pp. 50 - 64
We study two models of discrete height functions, that is, models of random integer-valued functions on the vertices of a tree. First, we consider the random homomorphism model, in which neighbours must have a height difference of exactly one. The lo
Externí odkaz:
http://arxiv.org/abs/2208.12949