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Calendar of Physics Talks Vienna
Exponential and variance inequalities in dynamical systems. |
Speaker: | Prof. Pierre Collet (Ecole Polytechnique-CNRS, Physique Theorique) |
Abstract: | I will briefly review the notions of exponential and variance
inequalities which can be used to control fluctuations of obervables
which are not necessarily ergodic sums. I will describe some
applications to concentration and fluctuation estimates. I will also
review the various techniques which have been used up to now to prove
these inequalities in various classes of dynamical systems. |
Date: | Wed, 02.07.2008 |
Time: | 10:30 |
Duration: | 60 min |
Location: | ESI Schroedinger lecture hall |
Contact: | ESI |
Hyperbolicity of the trace map and spectral properties of the discrete
Schrodinger operator with Fibonacci potential. |
Speaker: | Prof. Anton Gorodetski (University of California, Irvine) |
Abstract: | Due to M. Casdagli, the trace map of the Fibonacci Hamiltonian is
hyperbolic for large values of the coupling constant. In a joint work with
D.Damanik we get the same statement for weak coupling, and use these
results to relate the properties of the hyperbolic sets and the properties
of the spectrum of the Fibonacci Hamiltonian. Since the properties of
invariant hyperbolic sets of two dimensional diffeomorphisms are very well
studied, we are getting an extensive list of previously unknown properties
of the spectrum. |
Date: | Wed, 02.07.2008 |
Time: | 11:45 |
Duration: | 30 min |
Location: | ESI Schroedinger lecture hall |
Contact: | ESI |
Some consequences of Arthur's Conjecture |
Speaker: | Dr. Neven Grbac (ESI Junior Research Fellow) |
Date: | Thu, 03.07.2008 |
Time: | 14:00 |
Location: | ESI Schroedinger lecture hall |
Contact: | ESI |
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