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Probability and Conformal Mappings

2001/2002


Seminar program



Thursday, June 13, 2002: Institute seminar

13:30-14:30(NOTE SPECIAL TIME!)
A Report on the Year's Activity: Finished and Unfinished Business

15:00 Kjell-Ove Widman
Tales of Mittag-Leffler


Tuesday, June 11, 2002; Institute seminar

16:00-17:00 Alexei Poltoratski, College Station
Asymptotic Behavior of Arguments of Cauchy Integrals


Tuesday, June 4, 2002: Institute seminar

14:30-15:30 Omer Angel, Rehovat
Uniform Infinite Planar Triangulations

16:00-17:00 Benoit Mandelbrot, New Haven
Random Multifractal Singular Measures: Divergent High Moments are "Generic"


Thursday, May 30, 2002: Institute seminar

14:00-15:00 Chris Bishop, Stony Brook
Conformal Maps, Convex Hulls, and Kleinian Groups

15:30-16:30 Domonkos Szasz, Budapest
Recurrence in Dynamics


Tuesday, May 28, 2002: Institute seminar

11:00-12:00 Mattias Jonsson, University of Michigan
Superattracting Fixed Points in C^2

14:30-15:30 Michael Yampolsky, Toronto
Unimodal Maps and Hierarchical Models

16:00-17:00 Misha Lyubich, Stony Brook
Dynamics and Laminations


Monday, May 27, 2002: Institute seminar

16:00-17:00 John Erik Fornaess, Ann Arbor
Stable Sets in Complex Dimensions Greater than One


Thursday, May 23, 2002: Institute seminar

14:00-15:00 Don Zagier, Bonn
Modular forms and their applications

15:30-16:30 Jeff Steif, Gothenburg
The T--T^-1 process and finitary codings


Tuesday, May 21, 2002: Institute seminar

16:00-17:00 Nessim Sibony, Paris
On dynamics of holomorphic endomorphisms in several complex variables


Thursday, May 16, 2002: Institute seminar

14:00-15:00 Nikolai Makarov, Pasadena
Conformal Welding

15:30-16:30 Denis Grebenkov, Palaiseau
Laplacian Transport and Mixed Boundary Values


Tuesday, May 14, 2002: Institute seminar

16:00-17:00 Il'giz Kayumov, Kazan
On the Brennan Conjecture for Lacunary Series


Thursday, May 9, 2002: Institute seminar

14:00-15:00 Kostya Khanin, Isaac Newton Institute and Herriot-Watt University
Rigidity Theory for Circle Homeomorphisms with Singularities


Tuesday, May 7, 2002: Institute seminar

14:00-15:00 Pekka Koskela, Jyväskylä
Mappings of Finite Distortion

16:00-17:00 Bertrand DuPlantier, Paris
Conformal Multifractality


Thursday, May 2, 2002: Institute seminar

14:00-15:00 Oded Schramm, Microsoft
The Scaling Limit of Loop-erased Random Walk


Tuesday, April 30, 2002: Institute seminar

14:30-15:30 Richard Kenyon, Orsay
Discrete Analytic Functions in Elementary Stat.Mech.Models

16:00-17:00 Andrei Okounkov, Berkeley
Exact correlations for Random 3D Partitions


Thursday, April 25, 2002: Institute seminar

14:00-15:00 Peter Jones, New Haven
Stopping Time Arguments and Domain Tilings, Part I: The Corona Theorem

15:30-16:30 Peter Jones, New Haven
Part II: Puzzle Pieces and Dynamics


Tuesday, April 23, 2002: Institute seminar

16:00-17:00 Laura de Marco, Harvard
Dynamics of Rational Maps: Lyapunov Exponents, Bifurcations, and Metrics on the Sphere


Thursday, April 18, 2002: Institute seminar

14:00-15:00 Geoffrey Grimmet, Cambridge
Interfaces for Random Cluster Models

15:30-16:30 Ilia Binder,Harvard
Harmonic Measure and Rotation


Tuesday, April 16, 2002: Institute seminar

16:00-17:00 John Cardy, Oxford
Exact Results from the Coulomb Gas Representation of Random Loop Models: Part II


Thursday, April 11, 2002: Institute seminar

14:00-15:00 Joerg Schmeling, Lund
Products of Non-stationary Random Matrices and Multiperiodic Equations of Several Scaling Factors

15:30-16:30 Gaven Martin, Auckland
On the Minimal Volume Hyperbolic Orbifold


Tuesday, April 9, 2002: Institute seminar

16:00-17:00 John Cardy, Oxford
Exact Results from the Coulomb Gas Representation of Random Loop Models. Part 1


Thursday, April 4, 2002: Informal seminar

14:00-15:00 Svante Janson, Uppsala
Tails of Walsh sums over fractional Cartesian products

15:30-16:30 Lukas Geyer, Dortmund
Conformal measures and Hausdorff dimension for Siegel disks


Thursday, March 21, 2002: Institute seminar

14:00-15:00 Olle Häggström, Gothenburg
Rigidity percolation in two dimensions

15:30-16:30 Wendelin Werner, Paris
SLE and conformal maps


Thursday, March 14, 2002: Institute seminar

14:00-15:00 Henk Bruin, Groningen
Expansion of derivatives and measure of Julia sets for rational maps on the Riemann sphere

15:30-16:30 Dimitri Beliaev, KTH
On Littlewood's constants


Thursday, March 7, 2002: Institute seminar

14:00-15:00 Ron Blei, Storrs
Combinatorial dimension in fractional Cartesian products and measurements of interdependence

15:30-16:30 Ilgiz Kayumov, Kazan
The law of the iterated logarithm and the integral mean spectrum


Thursday, February 28, 2002: Institute seminar

14:00-15:00 Alexei Poltoratski, College Station
Rank one perturbation of spectra

15:30-16:30 Lukas Geyer, Dortmund
Some conjectures on the existence of Julia sets of positive measure: The work of A. Cheritat


Tuesday, February 12, 2002: Institute seminar

14:30-15:30 Kari Astala, Helsinki
On Beurling transforms and integral means

16:00-17:00 Gaven Martin, Auckland
Rational maps of manifolds and the Lichnerowitz problem


Thursday, February 7, 2002: Institute seminar

14:00-15:00 Misha Sodin, Ramat Aviv
Dimension free estimates for polynomials and analytic functions

15:30-16:30 Alexei Poltoratski, College Station
Maximal properties of Cauchy transforms


Tuesday, February 5, 2002: Institutes seminar

16:00-17:00 Alexander Vasil'ev, Valparaiso
Univalent functions in the dynamics of viscous flows


Thursday, January 31, 2002: Institute seminar

14:00-15:00 Nick Varopoulos, Paris
Central limit theorems in Lipschitz domains

15:30-16:30 Ilia Binder, Harvard
Polynomial Julia sets and harmonic measure


Thursday, January 24, 2002:Institute seminar

14:00-15:00 Olli Martio, Helsinki
Conformal differentiation

15:30-16:30 Gaven Martin, Auckland
An introduction to arithmetic Kleinian groups


Thursday, January 17, 2002:Institute seminar

15:30-16:30 Peter Jones, New Haven
An introduction to Kleinian groups, limit sets, and the Ahlfors conjecture


Thursday, December 13, 2001: Institute seminar

14:00-15:00 Michel Zinsmeister, Orleans
Variation of the conformal radius

15:30-16:30 Problem session: Discussion of open problems


Thursday, December 6, 2001: Institute seminar

14:00-15:00 Michael O'Neill, Claremont
McMillan type theorems for boundary behaviour of conformal mappings

15:30-16:30 Chris Burdzy, Seattle
Reflected Brownian Motion and moving boundaries



Thursday, November 29, 2001: Institute seminar

14:00-15:00 Vladimir Tkachev, Volgograd
Complex moments: Ullemar conjecture and univalent polynomials

15:30-16:30 Michael Benedicks, KTH Stockholm
Random iterations and nonuniform hyperbolicity



Tuesday, November 27, 2001: Institute seminar

16:00-17:00 Stanislav Smirnov, KTH Stockholm
Percolation and conformal invariance: Part II


Thursday, November 22, 2001: Institute seminar

14:00-15:00 Peter Jones, New Haven
Rigidity and conformal removability


Tuesday, November 20, 2001: Institute seminar

14:30-15:30 Arne Stray, Bergen
Dominating sets for the Dirichlet space

16:00-17:00 Lennart Carleson, KTH Stockholm
Laplacian growth models


Tuesday, November 13, 2001: Institute seminar

14:30-15:30 Håkan Hedenmalm, Lund
On the dual of Beriman spaces

16:00-17:00 Svante Janson, Uppsala
An introduction to random graphs: Part II


Thursday, November 8, 2001: Institute seminar

14:00-15:00 Paul Müller, Linz
Holomorphic martingales and their use in complex analysis

15:30-16:30 Svante Janson, Uppsala
Random Graphs: Part I


Tuesday, November 6, 2001: Institute seminar

16:00-17:00 Stanislav Smirnov, Stockholm
Conformal invariance and percolation


Thursday, November 1, 2001: Institute seminar

14:00-15:00 Anders Öberg, Uppsala
Level sets of harmonic functions on the Sierpinski gasket

15:30-16:30 Peter Jones, New Haven
Harmonic measure and scaling: Part III


Tuesday, October 30, 2001: Institute seminar

14:30-15:30 Mark Comerford, New Haven
A survey of random iteration

16:00-17:00 Benoit Mandelbrot, New Haven
Gap distributions for random walk


Thursday, October 25, 2001: Institute seminar

14:00-15:00 Olga Kouznetsova, Volgograd
Invariant polynomial classes in the Hele-Shaw problem

15:30-16:30 Kurt Johansson, KTH Stockholm
Random matrices: Part II


Tuesday, October 23, 2001: Institute seminar
14:30-15:30 Vincent Beffara, Orsay
On the dimension of the trace for SLE_6

16:00-17:00 Peter Jones, New Haven
Harmonic measure and scaling: Part II


Thursday, October 18, 2001: Institute seminar

14:00-15:00 Harry Kesten, Ithaca
An introduction to percolation: Part II

15:30-16:30 Kurt Johansson, KTH Stockholm
Random growth and random matrices


Tuesday, October 16, 2001: Institute seminar

14:30-15:30 Lukas Geyer, Dortmund
Linearization, Siegel disks, and Brjuno numbers

16:00-17:00 Peter Jones, New Haven
An introduction to harmonic measure and scaling: Part I


Thursday, October 11, 2001: Institute seminar

14:00-15:00 Esa Järvenpää, Jyväskylä
SRB - Measures for coupled map lattices

15:30-16:30 Harry Kesten, Ithaca
An introduction to percolation


Tuesday, October 9, 2001: Institute seminar

14:30-15:30 Bjarte Boe. Bergen
Interpolation by functions in the Bloch space

16:00-17:00 Gregory Lawler, Durham
An introduction to Brownian motion IV: SLE


Thursday, October 4, 2001: Institute seminar

14:00-15:00 Jacek Graczyk, Paris
An outside view of the Mandelbrot set

15:30-16:30 Jean Bricmont, Louvain-la-neuve
Renormalization group methods: a survey


Tuesday, October 2, 2001: Institute seminar

14:30-15:30Gpwd ory Lawler, Durham
Introduction to Brownian motion, III: Relating intersection exponents to Hausdorff dimensions

16:00-17:00Chris Burdzy, Seattle
Brownian motion- and hotspots


Thursday, September 27, 2001: Institute seminar

14:00-15:00 Chris Burdzy, Seattle
Fourier problem on thorns

15:30-16:30 Gregory Lawler, Durham
Introduction to Brownian motion, Part II: Conformal invariance


Thursday, September 20, 2001: Institute seminar

14:00-15:00 Antti Kupiainen, Helsinki
Ergodicity of second turbulence

15:30-16:30 Marcel Filoche, Palaiseaux
Brownian self transport


Tuesday, September 18, 2001: Institute seminar

14:30-15:30 Steffen Rohde, Seattle
SLE and conformal mappings: II

16:00-17:00 Gregory Lawler, Durham
Introduction to Brownian motion: I


Thursday, September 13, 2001: Institute seminar

14:00-15:00 Bernard Sapoval, Palaiseaux
Laplacian transport towards irregular surfaces


Tuesday, September 11, 2001: Institute seminar

14:30-15:30 Steffen Rohde, Seattle
An introduction to SLE and conformal mappings: Part 1

16:00-17:00 Bernard Sapoval, Palaiseaux
Physical problems related to percolation geometry


Thursday, September 6, 2001: Institute seminar

14:00-15:00 Harry Kesten, Ithaca
A large deviation result for the range of a random walk and the Wiener sausage

15:30-16:30 Gregory Lawler, Duke University and Cornell
Intersection exponents for planar Brownian motion




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