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Traps of stochastic algorithms and vertex-reinforced random walks
[.ps |
.pdf],
DPhil
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Pièges rèpulsifs, Comptes rendus de l'Académie des Sciences 330 (2000), Série I, p.125-130
- About a theorem of Pemantle and Volkov [.ps | .pdf], 2002, Unpublished manuscript
- VRRW on Z eventually gets stuck at a set of five points [.pdf], Annals of Probability, 2004, Vol. 32, No. 3B, 2650-2701
- Generalized urn models of evolutionary processes [.pdf], with M. Benaïm and S.Schreiber, Annals of Applied Probability 2004, Vol. 14, No.3, 1455-1478
- When can the two-arm bandit algorithm be trusted? [.pdf], with D. Lamberton and G. Pagès, Annals of Applied Probability 2004, Vol. 14, No.3, 1424-1454
- Attracting edge and strongly edge reinforced random walks [.pdf], with V. Limic, Annals of Probability 2007, Vol. 35, No. 5, 1783-1806
- An asymptotic result for Brownian polymers [.pdf], with Thomas Mountford, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 2008, Vol. 44, No.1, 29-46
- What is the difference between a square and a triangle? [.pdf], with Vlada Limic, In and out of equilibrium 2. Series: Progress in Probability (2008), Vol. 60, 481--496, Birkhäuser
- Dynamics of vertex-reinforced random walks [.pdf], with M. Benaïm, to appear in Annals of Probability (2011)
- Diffusivity bounds for 1d Brownian polymers [.pdf], with B. Tóth and B. Valkó, to appear in Annals of Probability (2012)
- On ergodic two-armed bandits [.pdf], with P. Vandekerkhove, to appear in Annals of Applied Probability (2012)
- About a theorem of Pemantle and Volkov [.ps | .pdf], 2002, Unpublished manuscript
Pierre Tarrès
Institut de Mathématiques
Université de Toulouse