University of Cambridge > > Cambridge Analysts' Knowledge Exchange > Invariance Principle and Local Limit Theorem for the Random Conductance Model

Invariance Principle and Local Limit Theorem for the Random Conductance Model

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Lisa Maria Kreusser.

The random conductance model is a well-established model for a random walk in random environment. During the last decade the question whether a quenched invariance principle (or quenched functional central limit theorem) holds for the random walk and whether the associated heat kernel satisfies a quenched local limit theorem has been intensively studied. In situations where the environment is generated by unbounded conductances these questions turned out to be rather non-trivial because of the possibility that the random walk might get trapped. In this talk we will review recent results for the case of an ergodic, degenerate environment. We present a quenched invariance principle and a quenched local limit theorem for ergodic conductances satisfying a certain moment condition. This talk is based on joint work with Jean-Dominique Deuschel and Martin Slowik.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity