Pacific Institute for the Mathematical Sciences - PIMS

DIGITAL SNOWFLAKES

Several mathematical models of snow crystal growth will be discussed. For a popular class of cellular automata known as Packard's Snowflakes, one can develop a fairly complete rigorous theory, addressing limiting density, fractal shapes and   more››

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Quantification of Blow-up Levels for a 2-D Elliptic Equation with Critical Exponential Nonlinearity

We study sequences of solutions of some elliptic PDE’s, on 2-dimensional bounded domain, with critical Moser-Trudinger exponential nonlinearity. We prove that lack of compactness occur only when standard bubbles appear and thus we can quantify t   more››

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Motives and Periods

The conference is intended to cover recent developments in the study of motives and periods with an emphasis to the connections to physics, arithmetic and algebraic cycles. The conference has an instructional component which consists of a series   more››

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Probability Seminar 2006

On the existence of cut points for Brownian motion on fractals   more››

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Quantum Information Theory for Mathematicians

In this talk I will give an overview of quantum information theory, with an emphasis on some of the underlying mathematics. In particular, quantum algorithms depend on a physical property of quantum systems,entanglement, which may be characterized   more››

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MITACS Math Biology Seminar 2006

Rolling is an important manifestation of biological cell adhesion, especially for the leukocyte cell in the immune process. It combines several phenomena such as the affinity, the junction and failure between specific adhesion molecules, and an ac   more››

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On simplicity of the second Neumann eigenvalue: What every mathematician should know about analysis on

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Algebraic Topology Seminar 2006

We study the concepts of homotopy disjointness and homotopy disjointness by small deformation for mappings between spheres. Joint work with Daciberg Goncalves produced the following result. The existence of a mapping f: S^(4n-2)   more››

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Probability Seminar 2006

The first part of the talk gives a survey about BSDE. Linear BSDE have been introduced by Bismuth (1973) in Control Theory. The existence of solutions for Lipschitz BSDE was proven by Peng, and for quadratic BSDE by Lepeltier/San Martin and by Kob   more››

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Algebraic Geometry Seminar 2006

Mixed Hodge structures on the cohomology of theta divisors     more››

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Renormalization analysis of hierarchically interacting two-type branching models

Linearly interacting diffusions model the evolution of colonies of populations. When the interaction kernel is of an appropriate form and the diffusions are indexed by the hierarchical group, the large scale space-time behavior of the system exhib   more››

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MITACS Math Biology Seminar 2006

A fundamental attribute of living cells is their ability to move. I will talk about two forms of biological motion driven by different physical mechanisms. The polymerization of the protein, actin, appears to be the source of the propulsive force   more››

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Algebraic Geometry Seminar 2006

Title: On the motive of a Shimura variety Speaker: Arvind Nair (Tata Institute for Fundamental Research, Mumbai, Maharashtra, India) Date and Time: Monday, April 24 2006, 01:30 PM - 02:30 PM Location: West Mall Annex Room 11   more››

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Wavelet techniques for processing multifractal signals

Multifractal analysis has been successfully applied to many types of signals, starting from turbulence velocity fields, and then extending to traffic, economic and medecine signals. In each case, it supplies new parameters which allow for a fine c   more››

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Bootstrap Percolation in d Dimensions

Modified bootstrap percolation is a very simple cellular automaton model for nucleation and growth. Sites in the cube {1,...,L}^d are initially occupied independently with probability p. At subsequent steps, an unoccupied site becomes occupied if   more››

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Probability Seminar 2006

Edge Reinforced Random Walk: How long till attracting edge?   more››

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Polarisation and cell movement: a multiscale modelling approach

Cell motility is a complex phenomenon, in which the cytoskeleton and its major constituent, actin, play an essential role. To understand the intricated interplay which brings about cell motility, we use a multiscale modelling approach in a 2D model o   more››

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Channel Assignments in Infinite Graph

We study quaternionic (especially hyperkahler) analogues of Lerman's symplectic cut construction. In low dimensions this can be physically interpreted as adding a brane to a hyperkahler manifold   more››

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Algebraic Geometry Seminar 2006

Adding branes to hyperkahler manifolds   more››

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ABC Algebra Workshop

Speaker: Skip Garibaldi Title: Cohomological invariants Abstract: The most familiar example of a cohomological invariant is the discriminant of a separable field extension or of a quadratic form. The subject of this   more››

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