This is a series of seminars initiated to foster
exchange between the
very dynamical ergodic theory groups based in Vienna and
Budapest.
Organizers: Henk Bruin, Peter Balint
Upcoming
events:
The current operator renewal-type approach to obtain
polynomial mixing rates in various dynamical systems requires
that the tails of a certain inducing scheme have regular variation.
An almost Anosov diffeomorphism is a diffeomorphism (in our case
on the 2-torus) that satisfies the Anosov properties except at a finite
set of neutral saddle points.
In this invertible setting (which additionally requires the use of a
anisotropic Banach space of distribution similar to the one used before
by Liverani & Terhesiu), the regular variation of the tails has been
treated only in very specific settings and/or with unsatisfactory estimates.
In this talk I want to present a new method which works
in much greater generality and gives much more precise estimates.
(joint with Dalia Terhesiu)
Abstract: I will illustrate transience in thermodynamic formalism using a simple,
although infinitely branched, interval map. I will discuss conformal measures,
equilibrium states, multifractal analysis, and future directions for the study
of transient systems. This is based on joint works with Bruin, Iommi and Jordan.
Projected events: Tentative
dates for subsequent meetings: ...
Past events:
13
Dec 2013, University of Vienna: