University of Alberta

Abstract In this talk, I'll introduce Kuang and Beretta's method to determine the stability of equilibria for delay differential equations (DDEs). Based on this method and some numerical results from some classic models(predator-prey, HIV, CTL...

Abstract In my talk I will review some crucial steps, based on mathematical reasoning, that laid foundations of today's theoretical ecology. I will start with the Lotka-Volterra predator-prey model and will review some subsequent research. I will...

Abstract: Wavelet bases are thought to provide, for functions with local singularities in arbitrary dimension, a representation that is optimally local in space and frequency. In reality, even in moderate dimension, standard wavelet constructions...

Abstract Classical Arbitrage Theory for frictionless financial markets relates economically meaningful property of absence of arbitrage with the fundamental probabilistic concept of equivalent martingale measure. Densities processes of equivalent...

Abstract I will explain some recent results (joint work with Ya.G. Sinai) on the bifurcation of solutions to the Navier-Stokes system. We consider the stream function and construct a set of initial data such that initial critical points bifurcate...

Abstract Convex risk measures on spaces of c\`adl\`ag processes whose supremum belongs to an Orlicz heart are discussed. We obtain representations of linear functionals on such spaces, and introduce some examples of convex risk measures. In addition...

Abstract: In this introductory lecture, I will explore some applications of geometry and mechanics to problems at the nanoscale (and perhaps larger scales as well!). First, we shall talk about recent work on dendronized polymers and study a model of...

Abstract: A recent paper of Budác et al. on the selfsimilar behaviour of solutions to a model of coagulation with maximum size led us to consider a nonautonomous Lotka-Volterra predator-prey system in which the vector field of the predator equation...

Abstract: The well-posedness of a phase-field approximation to the Willmore flow with either volume constraint or area and volume constraints is established, assuming further that the functional approximating the area has no critical point satisfying...

Abstract We consider a stochastic differential equation involving standard and fractional Brownian motion with unknown drift parameter to be estimated. We investigate the standard maximum likelihood estimate of the drift parameter, two non-standard...