LRSP Mini-Program on Interacting Stochastic Systems
Workshop on Spatially Distributed and Hierarchically Structured Stochastic Systems
Laboratory for Research in Statistics and Probability |
Significant mathematical advances in infinite particle systems, measure-valued processes, stochastic partial differential equations, multiple space-time scale analysis and hierarchical systems have taken place over the past twenty years. The objective of this mini-program is to review the state-of-the-art in these fields, to focus on a number of research problems of current importance and to explore potential applications of these developments to the challenging problems of large interacting systems that arise in biology, communications and economics.
The program is comprised of two major parts. The first, to be held at the Laboratory for Research in Statistics and Probability at Carleton University, March 17 May 17, 2002, involves bringing together a group of senior researchers, postdoctoral fellows and graduate students in this field for collaborative research on problems of current importance. The second is a one week workshop, April 4-10, 2002 to be held at the CRM in Montreal.
Biao Wu (Carleton)
David Alexander (McGill)
Henryk Zähle (WIAS - visiting April 3 May 3, 2002)
Jack Jie Dai (ISM August 2001 July 2003)
Wenming Hong (Nov. 2001 Oct. 2002)
Jiashan Tang (Feb July 2002)
Visiting Scientists
Luis Gorostiza (March 19- April 8)
Anton Wakolbinger (March 25 April 7)
Andreas Greven (April 8-16)
Iljana Zähle (April 3 April 11)
Klaus Fleischmann (April 3 May 3, 2002)
ORGANIZING COMMITTEE:
Don Dawson, Klaus Fleischmann, Andreas Greven, Anton Wakolbinger
TOPICS: Interacting particle systems, spatial stochastic models, measure-valued processes, mean-field and hierarchical mean-field limits. Applications to modeling in biology, communications and economics
RELATED ACTIVITIES:
As part of this a Probability Day will be held on Saturday, April 6, 2002 (possibly
at McGill University). Related activities will also take place during the spring
term Miniprogram on Interacting Stochastic Systems at the Laboratory for Research
in Statistics and Probability (LRSP) in Ottawa.
SPONSORS: CRM, LRSP and funds provided by the Humboldt Foundation as part of
a Max Planck Award for International Cooperation.
Thursday, April 4
8:30-9:15 Welcome Coffee
9:15-9:30 Opening
9:30-10:30 Klaus Fleischmann, Title: Recent progress in catalytic branching (I)
10:30-11:00 Coffee
11:00-12:00 Luis Gorostiza, Title: k-strong/weak transience
14:00-15:00 Anton Wakolbinger, Title: Hierarchical mean field limits of one- and two-level branching systems: a review and a preview
15:00-15:30 Coffee
15:30-16:15 Henryk Zahle, Title: Regularity of catalytic super Brownian motions
16:30-17:15 Peter Pfaffelhuber, Title: Multitype branching processes on the lattice: infinite and large finite systems
Friday, April 5.
9:30-10:30 Klaus Fleischmann, Title: Recent progress in catalytic branching (II)
10:30-11:00 Coffee
11:00 - 12:00 Michael Kouritzin, Title: Continuous and discrete space particle filters
14:00-15:00 Christian Penssel, Title: Finite system scheme of catalytic interacting Feller diffusions on the lattice
15:00-15:30 Coffee
15:30-16:30 Hao Wang, Title: A class of interacting superprocesses with location-dependent branching
16:30-17:15 Matthias Birkner, Title: Long time behavior of self-blocking immigration
Saturday, April 6 (Probability Day)
IMPORTANT: The Probability Day will be held at McGill University,
Room 178, Bronfman Building,1001 Sherbrooke St. W.
9:30-10:30 Gerard Letac, Title: Representations du groupe symetrique et calcul
des moments de
la loi de Wishart
11:00-12:00 Miklos Csorgo, Title: Invariance Principles for Studentized Partial Sum Processes
14:00-15:00 Bruce K. Driver, Title: Analysis on loop groups
15:30-16:30 Bruno Remillard, Title: Central Limit Theorem for Martingales
Monday, April 8, 2002
9:30-10:30 Shui Feng, Title: Infinitely Many Neutral Alleles Model: Large Deviations and Quasi-Potential
10:30-11:00 Coffee
11:00 - 12:00 Ed Perkins, Title: Degenerate Stochastic Differential Equations with Holder Continuous Coefficients and Super-Markov Chains
14:00-15:00 Andreas Greven, Title: Multitype Population Models (I)
15:00-15:30 Coffee
15:30-16:15 Ted Cox, Title: Some new results for the stepping stone model
16:20-17:05 Jan Swart, Title: The trimmed tree of a super-Wright-Fisher Diffusion
17:10-17:55 Anja Sturm, Title: On limits of branching particle systems in a spatially correlated random medium
Tuesday, April 9
9:30-10:30 Tom Kurtz, Title: Particle representations with moving levels
10:30-11:00 Coffee
11:00-12:00 Steve Krone, Title: Dealing with spatial and demographic structure in coalescent theory
14:00-15:00 Jie Xiong, Title: Mass-time-space scaling of a super-Brownian catalyst reactant pair
15:00-15:30 Coffee
15:30-16:15 Lars Kauffmann, Title: The Galton-Watson tree size-biased according to total progeny
16:20-17:05 Dirk Metzler, Title: A Poisson model for gapped local alignments
17:10-17:55 Steffen Grossmann, Title: Large deviations for optimal local sequence alignments
Wednesday, April 10
9:30-10:30 Andreas Greven, Title: Multitype Population Models (II)
10:30-11:00 Coffee
11:00-12:00 Xiaowen Zhou, Title: Dualities between coalescing Brownian motions and between coalescing and annihilating Brownian motions
14:00-15:00 Iljana Zahle, Title: Functional Central Limit Theorem for Branching Random Walks
15:00-15:30 Coffee
15:30-16:30 Anita Winter, Title: Representation theorems for historical interacting Fisher-Wright diffusions
16:35-17:20 Wenming Hong, Title: Super-Brownian motion with Random Immigration
Matthias Birkner
FB Mathematik Johann Wolfgang Goethe-Universität
D-60054 Frankfurt am Main
birkner@math.uni-frankfurt.de
Ted Cox
Mathematics Department
Syracuse University, NY 13244, U.S.A.
jtcox@gumby.syr.edu
Miklós Csörgö
School of Mathematics and Statistics
Carleton University, Ottawa, Canada K1S 5B6
mcsorgo@math.carleton.ca
Jack Dai
Department of Mathematics and Statistics
McGill University
Montreal, Québec, Canada H3A 2K6
jdai@math.mcgill.ca
Don Dawson
School of Mathematics and Statistics
Carleton University
Ottawa, Canada K1S 5B6, and
Department of Mathematics and Statistics
McGill University
Montreal, Québec, Canada H3A 2K6
ddawson@math.carleton.ca
Klaus Fleischmann
Weierstrass Institut für Angewandte Mathematik und Stochastik
39 Mohrenstrasse
D-10117 Berlin
Germany
fleischmann@wias-berlin.de
Luis G. Gorostiza
Departamento de Matemáticas
Centro de Investigación y de Estudios Avanzados
A.P. 14-740, 07000 México FD.F., México
gortega@servidor.unam.mx
Andreas Greven
Mathematisches Institut
Universität Erlangen-Nürnberg
Bismarckstrasse 1 ½
91054 Erlangen
Germany
wendler@mi.uni-erlangen.de
Steffen Grossmann
Johann Wolfgang Goethe-Universität
FB Mathematik
D-60054 Frankfurt am Main
grossman@math.uni-frankfurt.de
Wenming Hong
School of Mathematics and Statistics
Carleton University
Ottawa, Canada K1S 5B6
hongw@math.carleton.ca
Lars Kauffmann
Johann Wolfgang Goethe-Universität
FB Mathematik
D-60054 Frankfurt am Main
kauffman@math.uni-frankfurt.de
Michael Kouritzin
Department of Mathematical Sciences
University of Alberta
Edmonton, AB, Canada T6G 2G1
mkouritz@math.ualberta.ca
Dirk Metzler
Johann Wolfgang Goethe-Universität
FB Mathematik
D-60054 Frankfurt am Main
dmetzler@math.uni-frankfurt.de
Christian Penssel
Mathematisches Institut
Universität Erlangen-Nürnberg
Bismarckstrasse 1 ½
91054 Erlangen
Germany
penssel@mi.uni-erlangen.de
Edwin A. Perkins
Department of Mathematics
University of British Columbia
Vancouver, B.C. Canada V6T 1Z2
perkins@math.ubc.ca
Peter Pfaffelhuber
Mathematisches Institut
Universität Erlangen-Nürnberg
Bismarckstrasse 1 ½
91054 Erlangen
Germany
pfaffelh@mi.uni-erlangen.de
Bruno Remillard
Service de l'enseignement des methodes quantitatives de gestion
Ecole des Hautes Etudes Commerciales
3000, chemin de la Cote-Sainte-Catherine
Montreal (Quebec)
Canada H3T 2A7
bruno.remillard@hec.ca
Anja Sturm
Weierstrass Institut für Angewandte Mathematik und Stochastik
39 Mohrenstrasse
D-10117 Berlin
Germany
sturm@wias-berlin.de
Jan Swart
Mathematisches Institut
Universität Erlangen-Nürnberg
Bismarckstrasse 1 ½
91054 Erlangen
Germany
swart@mi.uni-erlangen.de
Anton Wakolbinger
Johann Wolfgang Goethe-Universität
FB Mathematik
D-60054 Frankfurt am Main
wakolbin@math.uni-frankfurt.de
Anita Winter
Mathematisches Institut
Universität Erlangen-Nürnberg
Bismarckstrasse 1 ½
91054 Erlangen
Germany
Anita Winter winter@mi.uni-erlangen.de
Hao Wang
Department of Mathematics
University of Oregon,
Eugene OR 97403-1222, U.S.A.
haowang@darkwing.uoregon.edu
Jie Xiong
Department of Mathematics
University of Tennessee,
Knoxville, Tennessee 37996-1300, U.S.A.
xiong@math.utk.edu
Henryk Zähle
Weierstrass Institut für Angewandte Mathematik und Stochastik
39 Mohrenstrasse
D-10117 Berlin
Germany
email: c/o fleischmann@wias-berlin.de
Iljana Zähle
Mathematisches Institut
Universität Erlangen-Nürnberg
Bismarckstrasse 1 ½
91054 Erlangen
zaehle@mi.uni-erlangen.de
Xiaowen Zhou
Department of Mathematics and Statistics
1455 de Maisonneuve Blvd. West
Montreal, Quebec, H3G 1M8
zhou@mathstat.concordia.ca
For more information please contact our Coordinator:
Gillian S. Murray, Coordinator