Convergence to equilibrium for finite Markov processes, with application to the Random Energy Model

Details Convergence to equilibrium for finite Markov processes, with application to the Random Energy Model Convergence to equilibrium for finite Markov processes, with application to the Random Energy Model

2003-07-10

arxiv.org/abs/math/0307148v1

Mathematics

Probability

Scientific paper

We estimate the distance in total variation between the law of a finite state Markov process at time t, starting from a given initial measure, and its unique invariant measure. We derive upper bounds for the time to reach the equilibrium. As an example of application we consider a special case of finite state Markov process in random environment: the Metropolis dynamics of the Random Energy Model. We also study the process of the environment as seen from the process.

Affiliated with

Also associated with

No associations

Rating

Convergence to equilibrium for finite Markov processes, with application to the Random Energy Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Convergence to equilibrium for finite Markov processes, with application to the Random Energy Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence to equilibrium for finite Markov processes, with application to the Random Energy Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-137815