University of Cambridge > > Isaac Newton Institute Seminar Series > Rate of convergence of the mean of sub-additive ergodic processes

Rate of convergence of the mean of sub-additive ergodic processes

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

If you have a question about this talk, please contact Mustapha Amrani.

This talk has been canceled/deleted

Co-authors: Michael Damron (Indiana University), Jack T. Hanson (Indiana University)

For a subadditive ergodic sequence ${X_{m,n}}$, Kingman’s theorem gives convergence for the terms $X_{0,n}/n$ to some non-random number $g$. In this talk, I will discuss the convergence rate of the mean $mathbb EX_{0,n}/n$ to $g$. This rate turns out to be related to the size of the random fluctuations of $X_{0,n}$; that is, the variance of $X_{0,n}$, and the main theorems I will present give a lower bound on the convergence rate in terms of a variance exponent. The main assumptions are that the sequence is not diffusive (the variance does not grow linearly) and that it has a weak dependence structure. Various examples, including first and last passage percolation, bin packing, and longest common subsequence fall into this class. This is joint work with Michael Damron and Jack Hanson.

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:

This talk is not included in any other list

Note that ex-directory lists are not shown.


© 2006-2022, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity