Spectral analysis in the study of dynamical systems

Description:  After a brief journey into a class of Symbolic Dynamical Systems, that is related to Markov Chains, I will present the Limit Theorem for Markov Chains which can be obtained as a corollary of Perron Theorem (a spectral theorem in linear algebra). Next, we will see what may be taken as a generalisation of these results in a more abstract setting, which, in particular, allows for the deduction of statistical properties of piecewise expanding maps of a closed interval. Date:  2019-10-02 Start Time:   11:30 Speaker:  Raquel Couto (UC|UP PhD student) Institution:  CMUP Place:  Sala 004, UP Math. Dept. See more:   <Main>   <UC|UP MATH PhD Program>