Le vendredi 11 novembre 2011, Université de Montréal, Pavillon André-Aisenstadt, 2920 ch. de la Tour, SALLE 6214
14h – 15h:
An ergodic variant of the telegraph process for a toy model of bacterial chemotaxis
Hélène Guérin, Université Rennes 1
I will study the long time behavior of a variant of the classic telegraph process, with non-constant jump rates that induce a drift towards the origin. This process can be seen as a toy model for velocity-jump processes recently proposed as mathematical models of bacterial chemotaxis. I will give its invariant law and construct an explicit coupling for velocity and position, providing exponential ergodicity with moreover a quantitative control of the total variation distance to equilibrium at each time instant. It is a joint work with Joaquin Fontbona (Universidad de Santiago, Chile) and Florent Malrieu (Université Rennes 1, France).
15h30 – 16h30:
Skewed functional processes and their applications
Ana-Maria Staicu, North Carolina State University
We introduce a novel class of models for functional data exhibiting skewness or other shape characteristics that vary with spatial location. Such data are not envisaged by the current approaches to model functional data, due to the lack of Gaussian – like features. Our methodology allows modeling the pointwise quantiles, has interpretability advantages and is computationally feasible. The methods were motivated by and are illustrated with a state-of-the-art study of neuronal tracts in multiple sclerosis patients and healthy controls.