Rare Events Statistics for [Formula: see text] Map Lattices Coupled by Collision [0.03%]
[Formula: see text]格点碰撞耦合的罕见事件统计学
Wael Bahsoun,Maxence Phalempin
Wael Bahsoun
Understanding the statistics of collisions among locally confined gas particles poses a major challenge. In this work we investigate Z d -map lattices coupled by collision with simplified local dynamics that offer significant insights for...
Élie Aïdékon,William Da Silva,Xingjian Hu
Élie Aïdékon
We study the volume of rigid loop-O(n) quadrangulations with a boundary of length 2p in the non-generic critical regime, for all n ∈ ( 0 , 2 ] . We prove that, as the half-perimeter p goes to infinity, the volume scales in distributi...
Tadahiro Oh,Leonardo Tolomeo,Yuzhao Wang et al.
Tadahiro Oh et al.
In this paper, we construct invariant Gibbs dynamics for the hyperbolic Φ 2 k + 1 -model (namely, defocusing stochastic damped nonlinear wave equation forced by an additive space-time white noise) on the plane. (i) For this purpose, ...
The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin's Integrable System [0.03%]
三维混合BF拉格朗日1形式：Hitchin integrable系统的变分公式化
Vincent Caudrelier,Derek Harland,Anup Anand Singh et al.
Vincent Caudrelier et al.
We introduce the concept of gauged Lagrangian 1-forms, extending the notion of Lagrangian 1-forms to the setting of gauge theories. This general formalism is applied to a natural geometric Lagrangian 1-form on the cotangent bundle of the sp...
Giovanni Canepa,Michele Schiavina
Giovanni Canepa
We extend the cohomological setting developed by Batalin, Fradkin and Vilkovisky (BFV), which produces a resolution of coisotropic reduction in terms of hamiltonian dg manifolds, to the case of nested coisotropic embeddings C ↪ C W...
Daniele Dorigoni,Mehregan Doroudiani,Joshua Drewitt et al.
Daniele Dorigoni et al.
Zeta generators are derivations associated with odd Riemann zeta values that act freely on the Lie algebra of the fundamental group of Riemann surfaces with marked points. The genus-zero incarnation of zeta generators are Ihara derivations ...
Marcin Lis
Marcin Lis
Livine and Bonzom recently proposed a geometric formula for a certain set of complex zeros of the partition function of the Ising model defined on planar graphs Livine and Bonzom (Phys Rev D 111(4):046003, 2025). Remarkably, the zeros depen...
Alex Bols,Mahdie Hamdan,Pieter Naaijkens et al.
Alex Bols et al.
We study Kitaev's quantum double model for arbitrary finite gauge group in infinite volume, using an operator-algebraic approach. The quantum double model hosts anyonic excitations which can be identified with equivalence classes of 'locali...
On the Classification of Bosonic and Fermionic One-Form Symmetries in [Formula: see text] d and 't Hooft Anomaly Matching [0.03%]
关于量子场论中Bosonic和Fermionic一形式对称性的分类及't Hooft anomaly匹配问题
Mahesh Balasubramanian,Matthew Buican,Rajath Radhakrishnan
Mahesh Balasubramanian
Motivated by the fundamental role that bosonic and fermionic symmetries play in physics, we study finite (non-invertible) one-form symmetries in 2 + 1 d consisting of topological lines with bosonic and fermionic self-statistics. We refer t...
Elnur Emrah,Christopher Janjigian,Timo Seppäläinen
Elnur Emrah
We study Busemann functions, semi-infinite geodesics, and competition interfaces in the exactly solvable last-passage percolation with inhomogeneous exponential weights. New phenomena concerning geodesics arise due to inhomogeneity. These i...