VOL. 27 · NO. 1 | January 1999
 
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Articles
Terry Lyons, Lucretiu Stoica
Ann. Probab. 27 (1), 1-49, (January 1999) DOI: 10.1214/aop/1022677253
KEYWORDS: stochastic integral, Dirichlet process, path integral, singular integral, martingale decomposition, Lyons-Zheng decomposition, 60J60, 60H05, 31C25
Richard F. Bass, Krzysztof Burdzy
Ann. Probab. 27 (1), 50-108, (January 1999) DOI: 10.1214/aop/1022677254
KEYWORDS: Brownian motion, fractional Brownian motion, Differential equations, Stochastic differential equations, Local time, Trotter theorem, Ray–Knight theorem, Lipschitz approximation, bifurcation, bifurcation time, 60J65, 60G17, 60H10
Peter Imkeller, Michael Scheutzow
Ann. Probab. 27 (1), 109-129, (January 1999) DOI: 10.1214/aop/1022677255
KEYWORDS: Stochastic differential equation, stochastic flow, spatial growth rate, modulus of continuity, GRR lemma, Semimartingale, 60H10, 34F05, 60G48, 60G17
Ludwig Arnold, Peter Imkeller
Ann. Probab. 27 (1), 130-149, (January 1999) DOI: 10.1214/aop/1022677256
KEYWORDS: Stochastic differential equation, Random dynamical system, Cocycle, stochastic flow, anticipative calculus, multiplicative ergodic theorem, rotation number, Furstenberg-Khasminskii formula, 60H10, 93E03, 34D08, 34F05
Laurence Marsalle
Ann. Probab. 27 (1), 150-165, (January 1999) DOI: 10.1214/aop/1022677257
KEYWORDS: Local time, subordinator, fast points, slow points, 60J30
Peter Donnelly, Thomas G. Kurtz
Ann. Probab. 27 (1), 166-205, (January 1999) DOI: 10.1214/aop/1022677258
KEYWORDS: Fleming-Viot process, Dawson-Watanabe process, Superprocess, measure-valued diffusion, exchangeability, genealogical processes, Coalescent, Historical process, Conditioning, 60J25, 60K35, 60J70, 60J80, 92D10
Steven P. Lalley
Ann. Probab. 27 (1), 206-225, (January 1999) DOI: 10.1214/aop/1022677259
KEYWORDS: contact process, homogeneous tree, weak survival, 60K35
Shirin J. Handjani
Ann. Probab. 27 (1), 226-245, (January 1999) DOI: 10.1214/aop/1022677260
KEYWORDS: spin systems, Coexistence, voter models, complete convergence, 60K35
Mathew D. Penrose
Ann. Probab. 27 (1), 246-260, (January 1999) DOI: 10.1214/aop/1022677261
KEYWORDS: geometric probability, connectedness, Minimal spanning tree, Extreme values, 60D05, 60G70, 60F15
Jim Pitman
Ann. Probab. 27 (1), 261-283, (January 1999) DOI: 10.1214/aop/1022677262
KEYWORDS: Local time, Bessel process, Galton-Watson branching process, Brownian meander, Ray-Knight theorems, random mapping, 60J65, 60J55, 60J60, 60J80, 05C05
A. Yu. Veretennikov
Ann. Probab. 27 (1), 284-296, (January 1999) DOI: 10.1214/aop/1022677263
KEYWORDS: large deviations, averaging, Stochastic differential equation, 60F10, 60J60
Christopher Boucher, Richard S. Ellis, Bruce Turkington
Ann. Probab. 27 (1), 297-324, (January 1999) DOI: 10.1214/aop/1022677264
KEYWORDS: large deviation principle, doubly indexed processes, Random measures, Sanov’s theorem, turbulence, 60F10, 82B99
E. Janvresse, C. Landim, J. Quastel, H. T. Yau
Ann. Probab. 27 (1), 325-360, (January 1999) DOI: 10.1214/aop/1022677265
KEYWORDS: Interacting particle system, spectral gap, relaxation to equilibrium, 60K35, 82A05
Timo Seppäläinen
Ann. Probab. 27 (1), 361-415, (January 1999) DOI: 10.1214/aop/1022677266
KEYWORDS: $K$-exclusion process, marching soldiers model, $ M/M/1/K$ queues in series, Quenched disorder, Hydrodynamic limit, subadditive process, Growth model, 60K35, 60K25, 82C22, 82C24
S. G. Bobkov
Ann. Probab. 27 (1), 416-431, (January 1999) DOI: 10.1214/aop/1022677267
KEYWORDS: Translates of measures, shift inequalities, 60E15, ‎46G12, 60B11
Cun-Hui Zhang
Ann. Probab. 27 (1), 432-453, (January 1999) DOI: 10.1214/aop/1022677268
KEYWORDS: Sub-Bernoulli function, Strong law of large numbers, moment inequality, Exponential inequality, tail probability, $U$-statistics, 60F15, 60G50
V. Bentkus, F. Götze
Ann. Probab. 27 (1), 454-521, (January 1999) DOI: 10.1214/aop/1022677269
KEYWORDS: $U$-statistics, degenerate $U$-statistics, von Mises statistics, symmetric statistics, central limit theorem, Convergence rates, Berry-Esseen bounds, Edgeworth expansions, second order efficiency, 62E20, 60F05
Richard A. Davis, Thomas Mikosch
Ann. Probab. 27 (1), 522-536, (January 1999) DOI: 10.1214/aop/1022677270
KEYWORDS: periodogram, Maximum, order statistics, point process, Poisson process, 62M15, 60F05, 60G55, 60G70
Victor H. de la Peña
Ann. Probab. 27 (1), 537-564, (January 1999) DOI: 10.1214/aop/1022677271
KEYWORDS: Self-normalized, exponential martingale inequalities, Decoupling, 60E15, 60G42, 60G44, 60G40
Torkel Erhardsson
Ann. Probab. 27 (1), 565-596, (January 1999) DOI: 10.1214/aop/1022677272
KEYWORDS: Compound Poisson, approximation, error bound, stationary Markov chain, Harris recurrence, regenerative, “rare” set, Stein equation, coupling, hitting probabilities, expected hitting times, 60E15, 60J05, 60G70
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