Bridges in Quantitative Biology

NEXT SEMINAR
Date/Venue	9th April 2015, 17h. Anfiteatro A IBMC, Rua do Campo Alegre 823, Porto
Title	Statistical analysis of chaotic systems
Speakers	Jorge Milhazes Freitas (CMUP) (see >>>>)
Abstract	In many practical situations, physical and biological phenomena can be modelled by chaotic dynamical systems, whose erratic behaviour makes 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.