JOINT SEMINAR IBMC/ CMUP: Statistical analysis of chaotic systems

Thursday, April 9, 2015
Jorge Milhazes Freitas
Center of Mathematics, University of Porto



BUILDING BRIDGES ON QUANTITATIVE BIOLOGY
JOINT SEMINAR SERIES

INSTITUTE FOR MOLECULAR AND CELL BIOLOGY | CENTER OF MATHEMATICS UNIVERSITY PORTO

An interdisciplinary seminar that aims to focus on research to gain a deeper understanding of biological processes based on quantitative (mathematical) and computational approaches to analyze and integrate biological systems to provide a multi-disciplinary forum for a broad blend of researchers in biology, mathematics, physics and computational sciences.

 

  NEXT SEMINAR 

 09 APRIL 2015 | 17H00 | IBMC MAIN AUDITORIUM 
 Statistical analysis of chaotic systems   
 Jorge Milhazes Freitas (CENTER OF MATHEMATICS, UNIVERSITY PORTO)  

 

 

In many practical situations, physical and biological phenomena can be modelled by chaotic dynamical systems, whose erratic behaviour make them hard to understand and predict.
Motivated by the long range of applications of such systems, we will start by introducing the main concepts, including notions such as: phase space, time, evolution laws, periodic points, invariant measures, stationarity, ergodicity, mixing...
Given the omnipresent uncertainty associated to such systems we discuss natural probabilistic questions and possible answers. We will address issues such as Laws of Large Numbers, Central Limit Theorems, Large Deviations, Extreme Values Laws.
The focus will be on the significance and heuristic interpretation of the concepts and possible outputs of Ergodic Theory.

 

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