Mathematics

UBC Colloquium and PIMS Distinguished Guest Lecturer: Thomas Scanlon

Conference: 
PIMS/UBC Distinguished Colloquium Series
Date: 
Fri, Jan 6, 2012
Class: 
Scientific
Subject: 
Mathematics

CRM Fields PIMS Prize Lecture: Prof. Stevo Todorcevic

Conference: 
CRM-Fields-PIMS Prize Lecture
Date: 
Wed, Apr 4, 2012
Class: 
Scientific
Subject: 
Mathematics

PIMS Public Lecture - Robert J Lang "The Modern Science of Origami"

Date: 
Fri, Apr 20, 2012
Class: 
Scientific
Subject: 
Mathematics

PIMS/UBC Distinguished Colloquium: Karl Sigmund

Conference: 
PIMS/UBC Distinguished Colloquium Series
Date: 
Fri, Apr 13, 2012
Class: 
Scientific
Subject: 
Mathematics

Gene Golub SIAM Summer School 2011

Date: 
Mon, Jul 4, 2011
Class: 
Scientific
Subject: 
Mathematics

PIMS/UBC Distinguished Lecture: Emmanuel Candes

Conference: 
PIMS/UBC Distinguished Colloquium Series
Date: 
Fri, Feb 17, 2012
Class: 
Scientific
Subject: 
Mathematics

Stiffness analysis of cardiac cell models: implications on real-time heart simulation

Date: 
Tue, Nov 22, 2011
Class: 
Applied
Subject: 
Mathematics

Density of states for alpha-stable processes

Speaker: 
Dorota Kowalska
Date: 
Wed, Jun 20, 2012
Location: 
PIMS, University of British Columbia
Conference: 
PIMS-MPrime Summer School in Probability
Abstract: 

We will show the existence of the density of states for $alpha$-stable processes ie existence of the deterministic measure that is a limit (when M goes to infinity) of random measures based on sequence of the eigenvalues of the generator of the $alpha$-stable process in a ball B(0,M) with Poissonian obstacles. We will give also estimate of the limit measure near zero.

Class: 
Scientific
Subject: 
Mathematics
Probability

Fluctuations study for type-dependent stochastic spin models

Speaker: 
Manuel González Navarrete
Date: 
Tue, Jun 19, 2012
Location: 
PIMS, University of British Columbia
Conference: 
PIMS-MPrime Summer School in Probability
Abstract: 

We study the fluctuations process for the type-dependent stochastic spin models proposed by Fernández et al.[2], which were used to model biological signaling networks. Using the results of Ethier & Kurtz [1], we analyse the asymmetric basic clock [3], a extension for the simplest cyclic-interaction module, that provides the basic functionality of generating oscillations. Particularly, we apply the central limit theorem for fluctuations process; the dynamics of this limit process is our aim. References. [1] S.N. Ethier, T.G. Kurtz, Markov Processes, Characterization and Convergence. Wiley, New York, 1986. [2] R. Fernandez, L.R. Fontes, E.J. Neves, Density-Profile Processes Describing Biological Signaling Networks: Almost Sure Convergence to Deterministic Trajectories. J Stat Phys (2009) 136: 875-901. [3] M.A. González Navarrete, Sistemas de partículas interagentes dependentes de tipo e aplicaçoes ao estudo de redes de sinalizaçao biológica. Master thesis, Instituto de Matemática e Estatística USP, 2011.

Class: 
Scientific
Subject: 
Mathematics
Probability

Cesaro limit and ergodicity of locally eventually periodic measures

Speaker: 
Felipe Garcia-ramos
Date: 
Tue, Jun 19, 2012
Location: 
PIMS, University of British Columbia
Conference: 
PIMS-MPrime Summer School in Probability
Abstract: 

We study translation invariant deterministic dynamics (phi) on the lattice (cellular automata). In particular the evolution and limit of probability measures that give the set of locally eventually phi-periodic points full measure. We prove the convergence of the mean averages under phi of this measures. We characterize the ergodicity of the limit measures (solving a question posed by Blanchard and Tisseur) and we prove that in the limit phi is a mixture measure theoretical odometers.

Class: 
Scientific
Subject: 
Mathematics
Probability

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