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The observation of duality by Mukherji and Mishra in one dimensional transport problems has been used to develop a general approach to classify and characterize the steady state phase diagrams. The phase diagrams are determined by the zeros…

Statistical Mechanics · Physics 2009-11-11 Somendra M. Bhattacharjee

Wave-particle duality relations are fundamental for quantum physics. Previous experimental studies of duality relations mainly focus on the quadratic relation $D^2+V^2\leq1$, based on symmetric beam interference, while a linear form of the…

Quantum Physics · Physics 2022-09-07 Dong-Xu Chen , Yu Zhang , Jun-Long Zhao , Qi-Cheng Wu , Yu-Liang Fang , Chui-Ping Yang , Franco Nori

Despite its obvious relevance, meaning has been outside most theoretical approaches to information in biology. As a consequence, functional responses based on an appropriate interpretation of signals has been replaced by a probabilistic…

Information Theory · Computer Science 2013-08-22 Bernat Corominas Murtra , Jordi Fortuny Andreu , Ricard Solé

A new approach to the evanescent part of a two-dimensional weak-stationary stochastic process with the past given by a half-plane is proceed. The classical result due to Helson and Lowdenslager divides a two-parametric weak-stationary…

Probability · Mathematics 2024-07-26 Zbigniew Burdak , Marek Kosiek , Patryk Pagacz , Marek Słociński

This is the second in a series of three notes on an investigation into core regular double Stone algebras, CRDSA, which are meant to be read in order. This note begins our investigation of duality for CRDSA through bi-topological spaces.…

Rings and Algebras · Mathematics 2018-09-25 Daniel J. Clouse

We present an improved protocol for entanglement purification of bipartite mixed states. The protocol requires two-way classical communication and hence implies an improved lower bound on the quantum capacity with two-way classical…

Quantum Physics · Physics 2007-05-23 Alan W. Leung , Peter W. Shor

Relaxation and first passage processes are the pillars of kinetics in condensed matter, polymeric and single-molecule systems. Yet, an explicit connection between relaxation and first passage time-scales so far remained elusive. Here we…

Statistical Mechanics · Physics 2018-11-27 David Hartich , Aljaz Godec

We formulate and prove an exact relation which expresses the moments of the two-point conductance for an open disordered electron system in terms of certain density correlators of the corresponding closed system. As an application of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rochus Klesse , Martin R. Zirnbauer

We present a new technique for demonstrating the reachability of states in deterministic finite automata representing the concatenation of two languages. Such demonstrations are a necessary step in establishing the state complexity of the…

Formal Languages and Automata Theory · Computer Science 2017-10-19 Sylvie Davies

The additional complexity caused by concurrently communicating processes in distributed systems render the verification of such systems into a very hard problem. Multiparty session types were developed to govern communication and…

Logic in Computer Science · Computer Science 2019-08-20 Kirstin Peters , Christoph Wagner , Uwe Nestmann

The first version of this paper gave another proof of the Kropholler Conjecture, which gives a relative version of Stallings Ends Theorem, following an earlier incorrect proof. It has been pointed out by Sam Shepherd that the the second…

Group Theory · Mathematics 2023-11-27 M. J. Dunwoody

We review the notion of symplectic duality earlier introduced in the context of topological recursion. We show that the transformation of symplectic duality can be expressed as a composition of $x-y$ dualities in a broader context of log…

Mathematical Physics · Physics 2024-12-05 Alexander Alexandrov , Boris Bychkov , Petr Dunin-Barkowski , Maxim Kazarian , Sergey Shadrin

In the 3-dimensional Riemannian geometry, contact structures equipped with an adapted Riemannian metric are divergence-free, nondegenerate eigenforms of the Laplace-Beltrami operator. We trace out a 2-d analogue of this fact: there is a…

Differential Geometry · Mathematics 2014-11-18 R. Komendarczyk

In this paper we analyze iterations of the obstacle problem for two different operators. We solve iteratively the obstacle problem from above or below for two different differential operators with obstacles given by the previous functions…

Analysis of PDEs · Mathematics 2024-02-05 Irene Gonzalvez , Alfredo Miranda , Julio D. Rossi

On contact manifolds we describe a notion of (contact) finite-type for linear partial differential operators satisfying a natural condition on their leading terms. A large class of linear differential operators are of finite-type in this…

Differential Geometry · Mathematics 2010-03-11 Michael Eastwood , A. Rod Gover

An approximate equation for the effective conductivity sigma_eff of systems with a finite maximal scale of inhomogeneities is deduced. An exact solution of this equation is found and its physical meaning is discussed. A two-phase randomly…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. A. Bulgadaev

We state a general conjecture that T-duality trivialises a model for the bulk-boundary correspondence in the parametrised context. We give evidence that it is valid by proving it in a special interesting case, which is relevant both to…

High Energy Physics - Theory · Physics 2017-01-18 Keith Hannabuss , Varghese Mathai , Guo Chuan Thiang

We devise and experimentally realize a procedure capable of detecting and distinguishing quantum discord and classical correlations as well the presence of factorized states in a joint system-environment setting. Our scheme builds on recent…

Quantum Physics · Physics 2014-11-14 Simone Cialdi , Andrea Smirne , Matteo G. A. Paris , Stefano Olivares , Bassano Vacchini

We study the phase transition phenomena for long-range oriented percolation and contact process. We studied a contact process in which the range of each vertex are independent, updated dynamically and given by some distribution $N$. We also…

Probability · Mathematics 2025-01-03 Pablo A. Gomes , Bernardo N. B. de Lima

It is possible to construct a double indexed process with sample paths a surface of a family of subordinators obtained by subordination. We study here a branch of this subordination process. This opens martingale methods on symbolic…

Probability · Mathematics 2009-02-13 Nicolas Bouleau
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