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Durham Cathedral

London Mathematical Society Durham Symposium
Recent Developments in Random Walks
Monday 2nd July - Thursday 12th July 2007

A PDF reader is available free from Adobe while WMV files can be viewed using Windows Media Player or RealPlayer whose basic versions are free.
On-line talks
Speaker
Title
PDF
WMV
Bonus
E. BolthausenRandom walks in random environment I
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E. BolthausenRandom walks in random environment II
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E. BolthausenRandom walks in random environment III
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K. BurdzyPathwise uniqueness for reflecting Brownian motion
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F. CometsOn ρ-percolation and the number of polymer paths PDF
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B. Davis

Initial weights and recurrence in vertex reinforced jump processes


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Th. DelmotteReversible random walks in a random environment of elliptic conductances PDF
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I. GoldscheidProducts of random transformations an RWRE
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O. HaggstromMarkov chains in a percolation theorist's toolbox
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M. HairerErgodic theory for a class of non-Markovian processes PDF
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S.C. HarrisBranching Brownian motion in a quadratic potential PDF
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A. JaraiSome estimates on 2D percolation
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M. JerrumTight bounds on mixing time of Markov chains PDF
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W. KendallCoupling Brownian stochastic areas
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T. KumagaiHeat kernel estimates and Harnack inequalities for jump processes
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Y. Le JanDeterminants and Markov chains
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R. LyonsUnimodularity and stochastic processes PDF
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T. LyonsRapid convergence of a Markov chain with stationary measure: the heat kernel measure
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V. LimicWaiting for the attracting edge to appear
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J. MairesseFrom random walks on groups to queueing networks
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P. MathieuRandom walks with random conductances
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M.V. MenshikovPeriodicity for some transient random walk associated with a polling system
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F. MerklReinforced random walk on two-dimensional graphs
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P. MoertersIntersections of random walks in supercritical dimensions PDF
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S.A. MolchanovPhase transitions in the long polymer chains
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J.R. NorrisStochastic flows, planar aggregation and the Brownian web
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O. RaimondFrom simulated annealing to vertex-reinforced random walks.
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R. PemantleRandom processes with reinforcement I (Basic models and techniques) PDF
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R. PemantleRandom processes with reinforcement II (Applications of urn models) PDF
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R. PemantleRandom processes with reinforcement III (Recent problems and results) PDF
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S. RollesLinearly edge-reinforced random walks - a subjective overview
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C. SabotLimit laws for random walks in random environment on Z PDF
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A. SakaiCritical behaviour and the limit distribution for long-range oriented percolation PDF
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PDF
L. Saloff-CosteRandom walks on finitely generated groups I
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L. Saloff-CosteRandom walks on finitely generated groups II
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L. Saloff-CosteRandom walks on finitely generated groups III
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V. SidoraviciusGrowth system with columnar defects and pinning problems
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G. SladeRandom walks and the lace expansion I PDF
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PS
G. SladeRandom walks and the lace expansion II PDF
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PS
G. SladeRandom walks and the lace expansion III PDF
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PS
A.M. StevensA PDE point of view on reinforced random walks


Yu. SuhovAnderson localisation for interacting particles
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A-S. SznitmanRandom walks and interfaces
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B. TothTagged particle diffusion in deterministic dynamics: old and new results PDF
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B. TsirelsonRandom walks in semigroups: stability and sensitivity PDF
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R. van den BergSome standard and less standard coalescing random walk models
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R. van der HofstadAn expansion for self-interacting random walks PDF
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S. VeretennikovOn mixing for Markov diffusions and Poisson equations in Sobolev classes PDF
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S. VolkovRandom walks with time and space dependent drifts
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J. WarrenConsistent families of Brownian motions PDF
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M. WinkelSLE and α-SLE driven by Levy processes PDF
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W. WoessThe Poisson boundary of lamplighter random walks on the homogeneous tree PDF
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O. ZeitouniRegeneration and quenched limits
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Special thanks to Yilei Hu and Liza Jones for shooting the movies.
The owners of the website, and the lecturers giving the talks, have no responsibility for, and will accept no liability arising from, the content of the videos. The videos may be used for educational purposes only, and use in any commercial context is forbidden.
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