One-sided versus two-sided dependence.

8 Apr 2019, 11:00
Villa Finaly

Villa Finaly

Via Bolognese, 134 R 50139 Florence Italy


Aernout van Enter


Stochastic systems can be parametrised by time (like Markov chains),in which conditioning is one-sided (the past)or by one-dimensional space (like Markov fields), where conditioning is two-sided (right and left).I will discuss some examples, in particular generalising this to g-measures versus Gibbs measures, where, instead of a Markovian dependence, the weaker property of continuity (in the product topology) is required. In particular I will discuss when the two descriptions (one-sided or two-sided) produce the same objects and when they are different.We show moreover the role one-dimensional entropic repulsion plays in this setting.
Joint work with R. Bissacot, E. Endo and A. Le Ny

Presentation Materials