ONE
DAY
ERGODIC
THEORY
MEETING
SURREY
FRIDAY,
2nd
FEBRUARY
2007
This is part of a series of collaborative meetings between Liverpool
University, Manchester University, Queen Mary, Surrey University and Warwick
University, supported by a Scheme 3 grant from the London Mathematical Society.
-
12.00noon - 1.00pm
Jean-René Chazottes (École Polytechnique - CPHT)
Concentration inequalities for dynamical systems
Abstract:
Concentration inequalities are a powerful tool to analyse
fluctuations of fairly general observables, like the integrated
periodogram, the kernel density estimator, the almost-sure central
limit theorem, the shadowing property, to cite only a few examples.
These observables are not Birkhoff sums for which are available
classical tools like central limit theorems and large deviation
theory. Concentration inequalities are rougher but apply to far
more general observables. These inequalities have been
recently proved for many dynamical systems.
2:30pm - 3:30pm
Mark Pollicott (University of Warwick)
Abstract:
We consider approoachs of Ruelle and Peres
to products of matrices and discuss the connection with determinants.
4:00pm - 5:00pm
Jane Hawkins (Chapel Hill)
One-Dimensional Stochastic Cellular Automata
Abstract:
We define and discuss the dynamics of cellular automata with the property
that at each site in the lattice a random choice among
finitely many local rules is made. We call these stochastic CA's and we
set up a mathematical framework for them and discuss
examples and dynamical properties in one dimension. They arise in
mathematical models of the spread of viruses where the fast
mutation of the virus leads to the appearance of a random choice of local
rule. We conclude with a one-dimensional version of
the virus model. This is joint work with Donna Molinek.
The talks will take place in room LTA, except the talk
at 4pm which will take place in the seminar room (22AA04)
Coffee and tea will be available at 11:30am and at 3:30pm in room 31AA04.
Wine at 5pm in room 31AA04.
Lunch will be between 1pm and 2pm.
There will also be an evening meal in a local restaurant.
For details of previous meetings, click
here
Directions
to the University, including a
location map
and a map of campus are available.
For more information, contact:
Henk Bruin
Department of Mathematics
University of Surrey
Guildford
Surrey GU2 7XH
Tel: 01483 689253
email: H.Bruin@surrey.ac.uk
or
Ian Melbourne
Department of Mathematics
University of Surrey
Guildford
Surrey GU2 7XH
Tel: 01483 689643
email: I.Melbourne@surrey.ac.uk