VOL. 29 · NO. 1 | February 2001
Itai Benjamini, Russell Lyons, Yuval Peres, Oded Schramm
Ann. Probab. 29 (1), 1-65, (February 2001) DOI: 10.1214/aop/1008956321
KEYWORDS: Spanning trees, Cayley graphs, Electrical networks, harmonic Dirichlet functions, amenability, percolation, loop-erased walk, 60D05, 05C05, 60B99, 20F32, 31C20, 05C80
Stanislav Volkov
Ann. Probab. 29 (1), 66-91, (February 2001) DOI: 10.1214/aop/1008956322
KEYWORDS: Vertex-reinforced random walk, Local time, large deviation principle, Polýa urn model, Martingales
Kenneth S. Alexander
Ann. Probab. 29 (1), 92-122, (February 2001) DOI: 10.1214/aop/1008956323
KEYWORDS: Exponential decay, power-law correction, Ornstein-Zernike behavior, weak mixing, FK model, 60K35, 82B20, 82B43
J. Kahn, J. van den Berg
Ann. Probab. 29 (1), 123-126, (February 2001) DOI: 10.1214/aop/1008956324
KEYWORDS: Correlation inequalities, percolation, Ahlswede-Daykin theorem, 05C99, 60C05, 60K35
Olle Häggström
Ann. Probab. 29 (1), 127-136, (February 2001) DOI: 10.1214/aop/1008956325
KEYWORDS: Entanglement percolation, uniqueness monotonicity, 60K35, 82B43
David Stephenson
Ann. Probab. 29 (1), 137-175, (February 2001) DOI: 10.1214/aop/1008956326
KEYWORDS: Coealescing random walk, annihilating random walk, particle density, threshold, 60K35, 82C22
Timo Seppäläinen
Ann. Probab. 29 (1), 176-204, (February 2001) DOI: 10.1214/aop/1008956327
KEYWORDS: Perturbation of equilibrium, Hydrodynamic limit, Hammersley’s process, increasing sequences, Tagged particle, 60K35, 82C22
Amir Dembo, Alberto Gandolfi, Harry Kesten
Ann. Probab. 29 (1), 205-241, (February 2001) DOI: 10.1214/aop/1008956328
KEYWORDS: optimization, lattice animals, percolation, 60G50, 60K35, 60F10, 82B41
P. Caputo, J.-D. Deuschel
Ann. Probab. 29 (1), 242-287, (February 2001) DOI: 10.1214/aop/1008956329
KEYWORDS: Random walks, Gaussian random fields, Gibbs measures, large deviations, Symmetric stable processes, Dirichlet forms, 60G15, 60G52, 60F10, 31C25, 82B41
Elise Janvresse
Ann. Probab. 29 (1), 288-304, (February 2001) DOI: 10.1214/aop/1008956330
KEYWORDS: spectral gap, Kac’s model, Boltzmann equation, 60K35
Jean-François Delmas, Jean-Stéphane Dhersin
Ann. Probab. 29 (1), 305-316, (February 2001) DOI: 10.1214/aop/1008956331
KEYWORDS: Brownian snake, Kolmogorov’s test, 60F20, 35K60, 60G57, 60J65
Zhi-Ming Ma, Kai-Nan Xiang
Ann. Probab. 29 (1), 317-343, (February 2001) DOI: 10.1214/aop/1008956332
KEYWORDS: stochastic flow, Measure-valued process, Stochastic coalescence, 60H15, 60G57, 60J25
Jean Bertoin
Ann. Probab. 29 (1), 344-360, (February 2001) DOI: 10.1214/aop/1008956333
KEYWORDS: Additive coalescent, fragmentation, bridge with exchangeable increments, 60J25, 60G09
Jim Pitman, Marc Yor
Ann. Probab. 29 (1), 361-384, (February 2001) DOI: 10.1214/aop/1008956334
KEYWORDS: Brownian bridge, Brownian excursion, Brownian scaling, Local time, self-similar recurrent Markov process, Bessel process, 60J65
N. V. Krylov
Ann. Probab. 29 (1), 385-410, (February 2001) DOI: 10.1214/aop/1008956335
KEYWORDS: stochastic integrals, Stochastic control, numerical approximations, 93E20, 65M12
Michel Talagrand
Ann. Probab. 29 (1), 411-417, (February 2001) DOI: 10.1214/aop/1008956336
KEYWORDS: Chaining, increment condition, bounded sample path, 60G15, 60G17, 60G60
Lucian Beznea, Nicu Boboc
Ann. Probab. 29 (1), 418-436, (February 2001) DOI: 10.1214/aop/1008956337
KEYWORDS: Revus measure, potential kernel, homogeneous random measure, 60J40, 60J45, 31D05, 31C15
Jean B. Lasserre, Charles E. M. Pearce
Ann. Probab. 29 (1), 437-446, (February 2001) DOI: 10.1214/aop/1008956338
KEYWORDS: Markov chains, Borel spaces, quasistationarity, 60J05, 28A33
Paweł Hitczenko, Stephen Montgomery-Smith
Ann. Probab. 29 (1), 447-466, (February 2001) DOI: 10.1214/aop/1008956339
KEYWORDS: Sum of independent random variables, tail distributions, decreasing rearrangement, pth moment, ‎rearrangement ‎invariant space, disjoint sum, maximal function, Hoffmann-Jørgensen/Klass-Nowicki Inequality, Lévy Property, 60G50, 60E15, 46E30, 46B09
Tao Lin, Laurens de Haan
Ann. Probab. 29 (1), 467-483, (February 2001) DOI: 10.1214/aop/1008956340
KEYWORDS: Extreme values, convergence in C[0,1], 62F05, 60G99
Bálint Tóth
Ann. Probab. 29 (1), 484-503, (February 2001) DOI: 10.1214/aop/1008956341
KEYWORDS: Random walk, Local time, favorite sites, most visited sites, 60J15, 60J55
Włodzimierz Bryc
Ann. Probab. 29 (1), 504-519, (February 2001) DOI: 10.1214/aop/1008956342
KEYWORDS: Conditional moments, hypergeometric orthogonal polynomials, q-Hermite polynomials, q -Gaussian processes, Linear regression, 60E99, 60G10
Evarist Giné, Stanislaw Kwapień, Rafał Latała, Joel Zinn
Ann. Probab. 29 (1), 520-557, (February 2001) DOI: 10.1214/aop/1008956343
KEYWORDS: U-statistics (canonical or degenerate), Law of the iterated logarithm, 60F15
André Stef, Gérald Tenenbaum
Ann. Probab. 29 (1), 558-575, (February 2001) DOI: 10.1214/aop/1008956344
KEYWORDS: Laplace transform, effective inversion, Berry-Esseen inequality, concentration functions, one-sided L1-approximation, lexicographical integers, 60E10, 11N25, 40E05, 44A10
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