Anthony Quas | PIMS - Pacific Institute for the Mathematical Sciences

PIMS Site Director & Professor of Mathematics, University of Victoria

Dr. Quas is a Professor of Mathematics and Statistics at the University of Victoria where he holds a Canada Research Chair. He is also the PIMS Site Director for the University of Victoria Site. He obtained his Ph.D. at the University of Warwick (UK) and his research interests include ergodic theory and dynamical systems.

Dr. Quas serves on the PIMS Digital Collaboration Committee and is the editor of PIMS' "Pi in the Sky" magazine.

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I will discuss a problem that appeared on MathOverflow and its solution by the user “Fedja”. The result we will demonstrate is that if T is subset of the reals with Hausdorff dimension exceeding ½, then there is a positive probability that a standard...

M2PI matches graduate students and postdoctoral fellows with industry partners to engage in a two week long collaboration to solve an industrial mathematics challenge. M2PI participants gain valuable skills making them ready to work in non-academic...

The Symposium is supported by the Pacific Institute for the Mathematical Sciences. As part of this year's meeting, we plan to celebrate the 65th birthday of Karl Petersen of the University of North Carolina. We gratefully acknowledge additional...

We consider an arbitrary sequence of d*d matrices (A_n) of norm at most 1 and subject them to noiselike perturbations of size epsilon. We show that the perturbed system has simple Lyapunov spectrum (no repeated exponents) and discuss universal bounds...

Given a collection of points S in a metric space and a probability p in (0,1), one can make a random graph by independently joining any pair of points in S that are less than 1 apart by an edge with probability p; and no edge with probability 1-p...

In many physical processes, one is interested in mixing and obstructions to mixing: warm air currents mixing with cold air; pollutant dispersal etc. Analogous questions arise in pure mathematics in dynamical systems and Markov chains. In this talk, I...

Lyapunov exponents and Oseledets spaces are a rough analogue of eigenvalues and eigenspaces for stationary products of matrices (or operators). We are interested in the stability or otherwise of these exponents and spaces when the family of matrices...