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Rigorous computation of invariant measures and Lyapunov exponents

Presented by: 
S Galatolo Università di Pisa
Date: 
Tuesday 29th October 2013 - 09:35 to 10:10
Venue: 
INI Seminar Room 1
Abstract: 
Co-author: Isaia Nisoli (Universitade Federal Rio de Janeiro)

We will consider the problem of computation of invariant measures and other aspects related to the statistical behavior of the dynamics up to certified errors.

In this way the output of a computation represent some rigorous quantitative estimation on the behavior of the dynamics under study, going towards more reliable tools for the simulation of dynamical models.

We will show some general approach which can be applied in several cases of systems having some hyperbolic behavior, including maps with indifferent fixed points.

Time permitting we will also consider a class piecewise hyperbolic maps related to the Lorenz attractor.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons