measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving...

reasonable example of a conservative system and more precisely, a measure-preserving dynamical system. It is measure-preserving, as the number of particles in...

formal definitions of measure theory and dynamical systems, and rather specifically on the notion of a measure-preserving dynamical system. The origins of ergodicity...

a stationary distribution, then it can be converted to a measure-preserving dynamical system: Let the probability space be Ω = Σ N {\displaystyle \Omega...

Krylov–Bogolyubov theorem Krylov-Bogoliubov averaging method Measure-preserving dynamical system Ergodic theory Mixing (mathematics) Almost periodic function...

in ergodic theory—the study of stochastic processes and measure-preserving dynamical systems. Several different definitions for mixing exist, including...

interpreted as positions and momenta; not all measure-preserving dynamical systems have these, but Hamiltonian systems do. The general setting for conjugate position...

operator. Measure-preserving dynamical system Normalizing flow Optimal transport Sections 3.6–3.7 in Bogachev 2007 Bogachev, Vladimir I. (2007), Measure Theory...

aperiodic measure preserving dynamical system can be decomposed to an arbitrary high tower of measurable sets and a remainder of arbitrarily small measure. It...

In the mathematical field of dynamical systems, a random dynamical system is a dynamical system in which the equations of motion have an element of randomness...