Concept

Ergodic theory

Related publications (63)

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Nematodynamics and random homogenization

Tudor Ratiu

We study the homogenization problem for the system of equations of dynamics of a mixture of liquid crystals with random structure. We consider a simplified form of the Ericksen-Leslie equations for an incompressible medium with inhomogeneous density with r ...

Taylor & Francis2016

Stochastic MPC for Controlling the Average Constraint Violation for Periodic Linear System with Additive Disturbance

Colin Neil Jones, Luca Fabietti

This paper deals with stochastic model predictive control of constrained discrete-time periodic linear systems. Control inputs are subject to periodically time-varying polytopic constraints with possibly time-dependent state and input dimensions. A stochas ...

IEEE2016

Ergodic Theory Meets Polarization I: A Foundation of Polarization Theory

Rajai Nasser

An open problem in polarization theory is to determine the binary operations that always lead to polarization when they are used in Arıkan style constructions. This paper solves this problem by providing a necessary and sufficient condition for a binary op ...

IEEE2015

High order numerical approximation of the invariant measure of ergodic SDEs

Assyr Abdulle, Gilles Vilmart

We introduce new sufficient conditions for a numerical method to approximate with high order of accuracy the invariant measure of an ergodic system of stochastic differential equations, independently of the weak order of accuracy of the method. We then pre ...

Society for Industrial and Applied Mathematics2014

Are atmospheric surface layer f lows ergodic?

Valentin Simeonov, Martin Froidevaux, Marc Parlange, Gabriel George Katul, Chad Higgins

The transposition of atmospheric turbulence statistics from the time domain, as conventionally sampled in field experiments, is explained by the so-called ergodic hypothesis. In micrometeorology, this hypothesis assumes that the time average of a measured ...

American Geophysical Union2013

Ergodic behaviour of "signed voter models"

Thomas Mountford, Grégory Maillard

We answer some questions raised by Gantert, Lowe and Steif (Ann. Inst. Henri Poincare Probab. Stat. 41 (2005) 767 780) concerning "signed" voter models on locally finite graphs. These are voter model like processes with the difference that the edges are co ...

Inst Mathematical Statistics2013

Groups of piecewise projective homeomorphisms

Nicolas Monod

The group of piecewise projective homeomorphisms of the line provides straightforward torsion-free counterexamples to the so-called von Neumann conjecture. The examples are so simple that many additional properties can be established. ...

Natl Acad Sciences2013

The Entropy of Conditional Markov Trajectories

Patrick Thiran, Matthias Grossglauser, Mohamed Kafsi

To quantify the randomness of Markov trajectories with fixed initial and final states, Ekroot and Cover proposed a closed-form expression for the entropy of trajectories of an irreducible finite state Markov chain. Numerous applications, including the stud ...

2013

Quasi-equilibria in reduced Liouville spaces

David Lyndon Emsley

The quasi-equilibrium behaviour of isolated nuclear spin systems in full and reduced Liouville spaces is discussed. We focus in particular on the reduced Liouville spaces used in the low-order correlations in Liouville space (LCL) simulation method, a rest ...

AMER INST PHYSICS2012

Polarization in the presence of memory

Eren Sasoglu

It is shown that Arikan's recursive construction polarizes all q-ary, kappa-th order ergodic Markov processes for all kappa and prime q. ...

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