February 5, 2016
Location: Janskerkhof 15a (Utrecht), room 001
Ergodicity: a perspective. Equilibrium and Nonequilibrium
A view on the physical meaning of the so called ergodic hypothesis: its role on the foundations of equilibrium statistical mechanics in the mid '80s, interpretations and its modern influence in nonequilibrium statistical mechanics.
The slides of this talk are available through this link. A manuscript on which this talk is based is available through this link.
Stochastically evolving genealogies and their properties
In spatial population models great interest is in the genealogy of the individuals, as object in its own right and as tool to study the geographic distribution of population sizes. However in the many individuals at rapid reproduction limit the genealogy is a subtle object.
In the talk we describe an approach to capture genealogies by marked ultrametric measure spaces and construct Markov processes of evolving genealogies. At the end of the lecture we apply the machinery to a spatial logistic branching model and its genealogies.