Ivailo Hartarsky
Ivailo Hartarsky
We study a general class of interacting particle systems called kinetically constrained models (KCM) in two dimensions. They are tightly linked to the monotone cellular automata called bootstrap percolation. Among the three classes of such ...
Habib Ammari,Bryn Davies,Erik Orvehed Hiltunen
Habib Ammari
In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence of strong localiz...
Hugo Duminil-Copin,Christophe Garban,Vincent Tassion
Hugo Duminil-Copin
In this paper, we investigate the behaviour of statistical physics models on a book with pages that are isomorphic to half-planes. We show that even for models undergoing a continuous phase transition on Z2, the phase transition becomes dis...
Matthijs Vernooij,Melchior Wirth
Matthijs Vernooij
We prove that the generator of the L2 implementation of a KMS-symmetric quantum Markov semigroup can be expressed as the square of a derivation with values in a Hilbert bimodule, extending earlier results by Cipriani and Sauvageot for traci...
Michael Magee,Joe Thomas,Yufei Zhao
Michael Magee
A finite group G is called C-quasirandom (by Gowers) if all non-trivial irreducible complex representations of G have dimension at least C. For any unit ℓ2 function on a finite group we associate the quantum probability measure on the...
Claudia García,Susanna V Haziot
Claudia García
The existence of a local curve of corotating and counter-rotating vortex pairs was proven by Hmidi and Mateu (in Commun Math Phys 350(2):699-747, 2017) via a desingularization of a pair of point vortices. In this paper, we construct a globa...
Hadleigh Frost,Carlos R Mafra,Lionel Mason
Hadleigh Frost
We prove results for the study of the double copy and tree-level colour/kinematics duality for tree-level scattering amplitudes using the properties of Lie polynomials. We show that the 'S-map' that was defined to simplify super-Yang-Mills ...
Schrödinger Operators with Oblique Transmission Conditions in [Formula: see text] [0.03%]
斜传输条件下的Schrödinger算子在[公式]中
Jussi Behrndt,Markus Holzmann,Georg Stenzel
Jussi Behrndt
In this paper we study the spectrum of self-adjoint Schrödinger operators in L2(R2) with a new type of transmission conditions along a smooth closed curve Σ⊆R2. Although these oblique transmission conditions are formally similar...
Non-intersecting Path Constructions for TASEP with Inhomogeneous Rates and the KPZ Fixed Point [0.03%]
非均匀速率TASEP的非相交路径构造和KPZ不动点问题
Elia Bisi,Yuchen Liao,Axel Saenz et al.
Elia Bisi et al.
We consider a discrete-time TASEP, where each particle jumps according to Bernoulli random variables with particle-dependent and time-inhomogeneous parameters. We use the combinatorics of the Robinson-Schensted-Knuth correspondence and cert...
Fabio Apruzzi,Federico Bonetti,Iñaki García Etxebarria et al.
Fabio Apruzzi et al.
We determine the d+1 dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for d-dimensional QFTs obtained by compactifying M-theory on a non-compact space X. The resulting theory, which...