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We formulate a general statement of the problem of defining invariant measures with certain properties and suggest an ergodic method of perturbations for describing such measures.

Dynamical Systems · Mathematics 2021-02-09 A. Vershik

In dynamical systems composed of interacting parts, conditional exponents, conditional exponent entropies and cylindrical entropies are shown to be well defined ergodic invariants which characterize the dynamical selforganization and…

adap-org · Physics 2009-10-30 R. Vilela Mendes

Competing styles of Statistical Mechanics have been introduced as practical succedaneous to the conventional well established Boltzmann-Gibbs statistical mechanics, when in the use of the latter the researcher is impaired in his/her…

Statistical Mechanics · Physics 2016-08-31 Roberto Luzzi , Áurea R. Vasconcellos , J. Galvão Ramos

In this note we investigate some properties of equilibrium states of affine iterated function systems, sometimes known as K\"aenm\"aki measures. We give a simple sufficient condition for K\"aenm\"aki measures to have a gap between certain…

Dynamical Systems · Mathematics 2017-10-23 Ian D. Morris

We establish some quantitative concentration estimates for the empirical measure of many independent variables, in transportation distances. As an application, we provide some error bounds for particle simulations in a model mean field…

Probability · Mathematics 2013-09-19 Francois Bolley , Arnaud Guillin , Cedric Villani

This is the second part of a series of four articles on weighted norm inequalities, off-diagonal estimates and elliptic operators. We consider a substitute to the notion of pointwise bounds for kernels of operators which usually is a…

Classical Analysis and ODEs · Mathematics 2018-10-10 Pascal Auscher , José Maria Martell

This is a study of universal problems for semimodules, in particular coequalizers, coproducts, and tensor products. Furthermore the structure theory of semiideals of the semiring of natural numbers is extended.

Rings and Algebras · Mathematics 2013-05-27 Bodo Pareigis , Helmut Rohrl

Many issues combine for consideration when speaking of Bell's Inequalities: nonlocality, realism, hidden variables, incompatible measures, wave function collapse, other. Each of these issues then may be viewed from several viewpoints:…

Quantum Physics · Physics 2007-05-23 Karl Gustafson

We extend, in the free probability framework, an invariance principle for multilinear homogeneous sums with low influences recently established in [E. Mossel, R. O'Donnell and K. Oleszkiewicz (2010). Noise stability of functions with low…

Probability · Mathematics 2014-03-11 Aurélien Deya , Ivan Nourdin

Numerical methods: mimetic finite differences and finite elements, are analyzed from a numerical point of view. It seeks to conclude on the efficiency, order of convergence and computational cost of these methods. The analysis is done in…

Numerical Analysis · Mathematics 2015-04-21 Abdul Lugo , Giovanni Calderón

In this article we develop the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for elliptic partial differential equations with inhomogeneous Dirichlet, Neumann, and Robin boundary conditions, and the…

Numerical Analysis · Mathematics 2022-01-14 Changqing Ye , Eric T. Chung

In this paper I derive a set of testable implications for econometric models defined by three assumptions: (i) the existence of strictly exogenous discrete instruments, (ii) restrictions on how the instruments affect adoption of a finite…

Econometrics · Economics 2026-01-22 Ricardo E. Miranda

Instrumental variables are commonly used to estimate effects of a treatment afflicted by unmeasured confounding, and in practice instruments are often continuous (e.g., measures of distance, or treatment preference). However, available…

Methodology · Statistics 2018-07-05 Edward H. Kennedy , Scott A. Lorch , Dylan S. Small

We respond to comments on our paper, titled "Instrumental variable estimation of the causal hazard ratio."

Methodology · Statistics 2022-10-26 Linbo Wang , Eric Tchetgen Tchetgen , Torben Martinussen , Stijn Vansteelandt

We present a version of the conditional symmetry method in order to obtain multiple wave solutions expressed in terms of Riemann invariants. We construct an abelian distribution of vector fields which are symmetries of the original system…

Mathematical Physics · Physics 2015-06-26 A. M. Grundland , P. Picard

We study thermodynamic formalism for topologically transitive partially hyperbolic systems in which the center-stable bundle satisfies a bounded expansion property, and show that every potential function satisfying the Bowen property has a…

Dynamical Systems · Mathematics 2020-12-24 Vaughn Climenhaga , Yakov Pesin , Agnieszka Zelerowicz

We make remarks on Fern\'{a}ndez Guasti's paper [{\it J. Phys. A: Math. Gen.} 39 (2006) 11825-11832] by pointing out some mistakes Fern\'{a}ndez Guasti derived therein.

General Physics · Physics 2007-05-23 Kwang-Hua W. Chu

A minor improvement is made to the calculation of the inhomogeneity term. The new calculation gives better agreement with the observations of Daoud et al. and Cheng-Graessley-Melnichenko.

Soft Condensed Matter · Physics 2024-07-16 Kazumi Suematsu , Haruo Ogura , Seiichi Inayama , Toshihiko Okamoto

Using the techniques developed in arxiv: 1203.3544 we compute the universal part of the equilibrium partition function characteristic of a theory with multiple abelian U(1) anomalies in arbitrary even spacetime dimensions. This contribution…

High Energy Physics - Theory · Physics 2015-06-05 Nabamita Banerjee , Suvankar Dutta , Sachin Jain , R. Loganayagam , Tarun Sharma

A gauge-invariant C*-system is obtained as the fixed point subalgebra of the infinite tensor product of full matrix algebras under the tensor product unitary action of a compact group. In the paper, thermodynamics is studied on such systems…

Operator Algebras · Mathematics 2009-11-10 N. Akiho , F. Hiai , D. Petz
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