Srb Measures for Certain Markov Processes

Markov extensions and conditionally invariant measures for certain logistic maps with small holes

We study the family of quadratic maps fa(x) = 1 − ax 2 on the interval [−1, 1] with 0 ≤ a ≤ 2. When small holes are introduced into the system, we prove the existence of an absolutely continuous conditionally invariant measure using the method of Markov extensions. The measure has a density which is bounded away from zero and is analogous to the density for the corresponding closed system. Thes...

Non-stationary Non-uniform Hyperbolicity: Srb Measures for Dissipative Maps

We prove the existence of SRB measures for diffeomorphisms where a positive volume set of initial conditions satisfy an “effective hyperbolicity” condition that guarantees certain recurrence conditions on the iterates of Lebesgue measure. We give examples of systems that do not admit a dominated splitting but can be shown to have SRB measures using our methods.

SRB measures for certain almost hyperbolic diffeomorphisms

A Model For The Residence Time Distribution and Holdup Measurement in a Two Impinging Streams Cyclone Reactor/Contactor in Solid-Liquid Systems

In this paper a two impinging streams cyclone contacting system suitable for handling of solid-liquid systems has been studied. Certain pertinent parameters such as: solid holdup, mean residence time and Residence Time Distribution (RTD) of solid particles have been investigated. A stochastic model based on Markov chains processes has been applied which describe the behavior of solid partic...

An analytical construction of the SRB measures for Baker-type maps.

For a class of dynamical systems, called the axiom-A systems, Sinai, Ruelle and Bowen showed the existence of an invariant measure (SRB measure) weakly attracting the temporal average of any initial distribution that is absolutely continuous with respect to the Lebesgue measure. Recently, the SRB measures were found to be related to the nonequilibrium stationary state distribution functions for...