VOL. 28 · NO. 4 | October 2000
 
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Articles
Michel Talagrand
Ann. Probab. 28 (4), 1393-1469, (October 2000) DOI: 10.1214/aop/1019160495
KEYWORDS: Spin glass, Hopfield model, replica-symmetric solution, 82D30, 60G99
Gerard Ben Arous, Alejandro F. Ramírez
Ann. Probab. 28 (4), 1470-1527, (October 2000) DOI: 10.1214/aop/1019160496
KEYWORDS: internal diffusion limited aggregation, Survival probability, enlargement of obstacles, Principal eigenvalue, 60K35, 60J15, 60J45, 60F10, 39A12
Janko Gravner, Jeremy Quastel
Ann. Probab. 28 (4), 1528-1562, (October 2000) DOI: 10.1214/aop/1019160497
KEYWORDS: Interacting particle system, free boundary problem, Growth model, Shape theory, 60K35, 82A05
Kelly Wieand
Ann. Probab. 28 (4), 1563-1587, (October 2000) DOI: 10.1214/aop/1019160498
KEYWORDS: permutations, random matrices, 15A52, 60B15, 60F05, 60C05
J. Theodore Cox, Jochen Geiger
Ann. Probab. 28 (4), 1588-1619, (October 2000) DOI: 10.1214/aop/1019160499
KEYWORDS: voter model, coalescing random walk, Poisson point process, 60K35, 60F05, 60J80
R. Arratia, A. D. Barbour, S. Tavaré
Ann. Probab. 28 (4), 1620-1644, (October 2000) DOI: 10.1214/aop/1019160500
KEYWORDS: 20B25
Thomas M. Liggett
Ann. Probab. 28 (4), 1645-1665, (October 2000) DOI: 10.1214/aop/1019160501
KEYWORDS: Stochastic monotonicity, contact process, growth models on trees, critical values, Critical exponents, coupling, Catalan numbers, 60K35
M. Cranston, Feng-Yu Wang
Ann. Probab. 28 (4), 1666-1679, (October 2000) DOI: 10.1214/aop/1019160502
KEYWORDS: coupling, shift coupling, parabolic inequality, tail $\sigma$-field, invariant $\sigma$-field, 60J60, 60J45.
Sergio Albeverio, Xuelei Zhao
Ann. Probab. 28 (4), 1680-1710, (October 2000) DOI: 10.1214/aop/1019160503
KEYWORDS: Random walks, $p$-adic spaces, measure-valued branching processes, nonlinear evolution equations, Absolute continuity, self-similarity, Local extinction, 60G57, 60C65, 11E95, 47H20, 60G30, 60F99
Siva Athreya, Roger Tribe
Ann. Probab. 28 (4), 1711-1734, (October 2000) DOI: 10.1214/aop/1019160504
KEYWORDS: Stochastic partial differential equations, Duality, uniqueness, 60H15
Carl Mueller
Ann. Probab. 28 (4), 1735-1746, (October 2000) DOI: 10.1214/aop/1019160505
KEYWORDS: heat equation, White noise, Stochastic partial differential equations, 60H15, 35R60, 35L05
Jean Jacod, Sylvie Méléard, Philip Protter
Ann. Probab. 28 (4), 1747-1780, (October 2000) DOI: 10.1214/aop/1019160506
KEYWORDS: Martingale representation, Clark –Haussmann formula, stability, weak convergence, 60H05, 60F17
Nathalie Eisenbaum, Haya Kaspi, Michael B. Marcus, Jay Rosen, Zhan Shi
Ann. Probab. 28 (4), 1781-1796, (October 2000) DOI: 10.1214/aop/1019160507
KEYWORDS: Local time, Markovprocesses, Ray –Knight theorem, 60J55
Jan Rosiński
Ann. Probab. 28 (4), 1797-1813, (October 2000) DOI: 10.1214/aop/1019160508
KEYWORDS: Stable random fields, stationarity, stochastic integral representation, nonsingular flow, Cocycle, mixed moving average, harmonizable random field, 60G10, 60G07, 60E07, 60G57
Thomas Mikosch, Gennady Samorodnitsky
Ann. Probab. 28 (4), 1814-1851, (October 2000) DOI: 10.1214/aop/1019160509
KEYWORDS: Stable process, stationary process, ruin probability, heavy tails, supremum, negative drift, risk, 60E07, 60G10, 60K30
Mike Cranston, Michael Scheutzow, David Steinsaltz
Ann. Probab. 28 (4), 1852-1869, (October 2000) DOI: 10.1214/aop/1019160510
KEYWORDS: Stochastic flows, passive dispersion, chaining methods, Empirical processes, 60H20
Allan Gut, Aurel Spătaru
Ann. Probab. 28 (4), 1870-1883, (October 2000) DOI: 10.1214/aop/1019160511
KEYWORDS: Tail probabilities of sums of i.i.d.random variables,, Law of the iterated logarithm, Davis law, Fuk–Nagaev type inequality, 60G50, 60E15, 60F15
Michael J. Klass, Krzysztof Nowicki
Ann. Probab. 28 (4), 1884-1907, (October 2000) DOI: 10.1214/aop/1019160512
KEYWORDS: generalized $U$-statistics, symmetrization –desymmetrization, expectations of functions of second-order sums, 60E15, 60F25, 60G50
Rafał Latała, Joel Zinn
Ann. Probab. 28 (4), 1908-1924, (October 2000) DOI: 10.1214/aop/1019160513
KEYWORDS: U-statistics, Strong law of large numbers, Random series, 60F15, 60E15
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