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The unitary extension principle (UEP) by Ron and Shen yields conditions for the construction of a multi-generated tight wavelet frame for $L^2(\mr^s)$ based on a given refinable function. In this paper we show that the UEP can be…

Functional Analysis · Mathematics 2017-08-15 Ole Christensen , Say Song Goh

Non-Hermitian systems as theoretical models of open or dissipative systems exhibit rich novel physical properties and fundamental issues in condensed matter physics.We propose a generalized local-global correspondence between the…

Quantum Physics · Physics 2023-08-11 Annan Fan , Shi-Dong Liang

Perturbation theory for lattice fermions with domain wall mass terms is developed and is applied to investigate the chiral Schwinger model formulated on the lattice by Kaplan's method. We calculate the effective action for gauge fields to…

High Energy Physics - Lattice · Physics 2009-10-22 S. Aoki , H. Hirose

Shear bands are narrow zones of intense shear observed during plastic deformations of metals at high strain rates. Because they often precede rupture, their study attracted attention as a mechanism of material failure. Here, we aim to…

Analysis of PDEs · Mathematics 2016-11-15 Min-Gi Lee , Athanasios Tzavaras

The physics of complex systems stands to greatly benefit from the qualitative changes in data availability and advances in data-driven computational methods. Many of these systems can be represented by interacting degrees of freedom on…

Statistical Mechanics · Physics 2024-11-27 Doruk Efe Gökmen , Sounak Biswas , Sebastian D. Huber , Zohar Ringel , Felix Flicker , Maciej Koch-Janusz

We fix an excellent regular noetherian scheme $S$ over ${\mathbf Z}_{(p)}$ satisfying a certain finiteness condition. For a constructible \'etale sheaf ${\cal F}$ on a regular scheme $X$ of finite type over $S$, we introduce a variant of…

Algebraic Geometry · Mathematics 2025-04-22 Takeshi Saito

It is proposed a new mechanism for the phenomenon of topological mass generation in three spacetime dimensions as the result of the interference of two opposite massless chiral modes. This mechanism, already used to produce the massive…

High Energy Physics - Theory · Physics 2007-05-23 Anderson Ilha , Clovis Wotzasek

We extend the theory of fields/distributions developed the paper "A Feigin-Frenkel theorem with n singularities" to a general base scheme. In order to do so we introduce suitable notions of topological sheaves on schemes and study their…

Algebraic Geometry · Mathematics 2025-09-30 Luca Casarin , Andrea Maffei

We analyze the "higher rank" gauge theories, that capture some of the phenomenology of the Fracton order. It is shown that these theories lose gauge invariance when arbitrarily weak and smooth curvature is introduced. We propose a…

Strongly Correlated Electrons · Physics 2019-02-27 Andrey Gromov

We present an approach for the calculation of the $\mathbb{Z}_2$ topological invariant in non-crystalline two-dimensional quantum spin Hall insulators. While topological invariants were originally mathematically introduced for crystalline…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Roberta Favata , Antimo Marrazzo

The problem of parameterizing the interactions of larger scales and smaller scales in fluid flows is addressed by considering a property of two-dimensional incompressible turbulence. The property we consider is selective decay, in which a…

Chaotic Dynamics · Physics 2018-10-31 F. Gay-Balmaz , D. D. Holm

We present a new variational principle for the gyrokinetic system, similar to the Maxwell-Vlasov action presented in Ref. 1. The variational principle is in the Eulerian frame and based on constrained variations of the phase space fluid…

Plasma Physics · Physics 2013-02-15 J. Squire , H. Qin , W. M. Tang , C. Chandre

In condensed matter physics, symmetry profoundly governs the fundamentals of topological matter. The emergence of new topological phase is typically linked to the enrichment of symmetries. Different parity-time symmetry relations…

Mesoscale and Nanoscale Physics · Physics 2022-09-15 Xiao Xiang , Feng Gao , Yugui Peng , Qili Sun , Jie Zhu , Xuefeng Zhu

The three-dimensional dynamics of a single non-Brownian flexible fiber in shear flow is evaluated numerically, in the absence of inertia. A wide range of ratios A of bending to hydrodynamic forces and hundreds of initial configurations are…

Soft Condensed Matter · Physics 2020-02-12 A. M. Slowicka , H. A. Stone , M. L. Ekiel-Jezewska

We consider the problem of satisfaction of boundary conditions when the generalized stress vector is given on the surfaces for elastic plates and shells. This problem was open also both for refined theories in the wide sense and…

Mathematical Physics · Physics 2020-06-12 Tamaz S. Vashakmadze

Non-Hermitian topological phases in static and periodically driven systems have attracted great attention in recent years. Finding dynamical probes for these exotic phases would be of great importance in the detection and application of…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Longwen Zhou

Despite the realizations of spin-orbit (SO) coupling and synthetic gauge fields in optical lattices, the associated time-reversal symmetry breaking, and 1D nature of the observed SO coupling pose challenges to obtain intrinsic $Z_2$…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Sayonee Ray , Kallol Sen , Tanmoy Das

We present a general framework for analyzing fractionalized, time reversal invariant electronic insulators in two dimensions. The framework applies to all insulators whose quasiparticles have abelian braiding statistics. First, we construct…

Strongly Correlated Electrons · Physics 2013-05-30 Michael Levin , Ady Stern

Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems with exotic properties. In particular, it has been employed to study…

We show how the squeezing of light can lead to the formation of topological states. Such states are characterized by non-trivial Chern numbers, and exhibit protected edge modes which give rise to chiral elastic and inelastic photon…

Mesoscale and Nanoscale Physics · Physics 2016-04-05 Vittorio Peano , Martin Houde , Christian Brendel , Florian Marquardt , Aashish A. Clerk
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