Tunneling and Metastability of Continuous Time Markov Chains

By J. Beltr'an, C. Landim. 2009

150 citations recorded by the source corpus.

We propose a definition of tunneling and of metastability for a continuous time Markov process on countable state spaces. We obtain sufficient conditions for a irreducible positive recurrent Markov process to exhibit a tunneling behaviour. In the reversible case these conditions can be expressed in terms of the capacities and of the stationary measure of the Markov process.

Subfields: Mathematical Physics, Molecular Biology, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/d9ff890c86ebb1a7dc6e0c5dd3abcb9d0df4f09f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Alexandre Gaudilliere
2. C. Landim
3. J. Beltr'an
4. Julien Reygner
5. Freddy Bouchet

In Molecular Biology

1. Alexandre Gaudilliere
2. C. Landim
3. J. Beltr'an

In Statistics and Probability

1. Alexandre Gaudilliere
2. C. Landim
3. J. Beltr'an
4. Julien Reygner
5. Freddy Bouchet

Citations in the corpus

• Metastability of reversible condensed zero range processes on a finite set (2009, methodology): “4 in [2]) that the solution of the variational problem for the capacity is given by FS1⋆,S2⋆(η) = P N η [”
• A Dirichlet principle for non reversible Markov chains and some recurrence theorems (2011, background): “However, following [2], if the process Xt is positive recurrent and the measure M(x) = μ(x)λ(x) is finite, one can show that this formula for the capacity holds.”