University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Anomalous scaling regimes for one-dimensional random walks

Anomalous scaling regimes for one-dimensional random walks

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

If you have a question about this talk, please contact nobody.

FD2W02 - Fractional kinetics, hydrodynamic limits and fractals

I will discuss various ways in which subdiffusive behaviour arises in random walk models in one dimension, including continuous time random walks, the Bouchaud trap model, the random conductance model and Mott variable range hopping. In particular, I will describe how subordinators can appear as scaling limits of certain time-change functionals, invariant measures, or the effective resistance of the associated electrical networks (which roughly plays the role of the scale function), and what this means for the scaling limit of the random walk. Much of the talk will be a review, but the part on Mott variable range hopping stems from a recent joint work with Ryoki Fukushima (University of Tsukuba) and Stefan Junk (Tohoku University).

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity