VOL. 25 · NO. 4 | October 1997
H. Hennion
Ann. Probab. 25 (4), 1545-1587, (October 1997) DOI: 10.1214/aop/1023481103 Open Access
KEYWORDS: Positive random matrices, Mixing, limit theorems, 60F99, 60F05
Harry Kesten
Ann. Probab. 25 (4), 1588-1620, (October 1997) DOI: 10.1214/aop/1023481104 Open Access
KEYWORDS: sums of i.i.d. random variables, Law of the iterated logarithm, Chung-type law of the iterated logarithm, 60J15, 60F15
Li-Xin Zhang
Ann. Probab. 25 (4), 1621-1635, (October 1997) DOI: 10.1214/aop/1023481105 Open Access
KEYWORDS: Geometrically weighted series, strong approximation, The law of the iterated logarithm, 60F05, 60F15
Hwai-Chung Ho, Tailen Hsing
Ann. Probab. 25 (4), 1636-1669, (October 1997) DOI: 10.1214/aop/1023481106 Open Access
KEYWORDS: asymptotic expansion, central limit theorem, fractional ARIMA process, long memory, long-range dependence, noncentral limit theorem, nonlinear function, 60F05, 60G10
Achim Klenke
Ann. Probab. 25 (4), 1670-1711, (October 1997) DOI: 10.1214/aop/1023481107 Open Access
KEYWORDS: Branching Brownian motion, Dawson-Watanabe (super) processes, cluster phenomena, finite systems, 60J80, 60K35, 60G57
Aimé Lachal
Ann. Probab. 25 (4), 1712-1734, (October 1997) DOI: 10.1214/aop/1023481108 Open Access
KEYWORDS: Law of the iterated logarithm, local asymptotic classes, integral tests, 60J65, 60F15, 60G15, 60G17, 60J25
Tobias Povel
Ann. Probab. 25 (4), 1735-1773, (October 1997) DOI: 10.1214/aop/1023481109 Open Access
KEYWORDS: large deviations, Poisson potential, Brownian motion with drift, 60F10, 82D30
Philippe Carmona
Ann. Probab. 25 (4), 1774-1788, (October 1997) DOI: 10.1214/aop/1023481110 Open Access
KEYWORDS: diffusion process, Random walk, Random media, 60J60, 60J30, 60J15, 60J65
N. V. Krylov
Ann. Probab. 25 (4), 1789-1809, (October 1997) DOI: 10.1214/aop/1023481111 Open Access
KEYWORDS: Stochastic partial differential equations, superdiffusions, 60H15, 35R60
Thorsten Rheinländer, Martin Schweizer
Ann. Probab. 25 (4), 1810-1831, (October 1997) DOI: 10.1214/aop/1023481112 Open Access
KEYWORDS: Semimartingales, stochastic integrals, $ L^2$-projection, variance-optimal martingale measure, weighted norm inequalities, Kunita–Watanabe decomposition, 60G48, 60H05, 90A09
Charles M. Newman, C. Chris Wu
Ann. Probab. 25 (4), 1832-1845, (October 1997) DOI: 10.1214/aop/1023481113 Open Access
KEYWORDS: percolation, contact process, inhomogeneity, 60K35, 82B43
Marcia Salzano, Roberto H. Schonmann
Ann. Probab. 25 (4), 1846-1871, (October 1997) DOI: 10.1214/aop/1023481114 Open Access
KEYWORDS: contact process, Graphs, Invariant measures, ergodic behavior, critical points, complete convergence, partial convergence, 60K35
Albert Fannjiang, Tomasz Komorowski
Ann. Probab. 25 (4), 1872-1894, (October 1997) DOI: 10.1214/aop/1023481115 Open Access
KEYWORDS: Convection-diffusion, invariance principle, Homogenization‎, martingale, 60F17, 35B27, 60G44
Satoshi Takanobu
Ann. Probab. 25 (4), 1895-1952, (October 1997) DOI: 10.1214/aop/1023481116 Open Access
KEYWORDS: Trotter product formula in the kernel level, Trotter product formula in $L_p$-operator norm, Feynman-Kac formula, 60H30, 60H10, 60J35, 60J65
Wendell H. Fleming, Shuenn-Jyi Sheu
Ann. Probab. 25 (4), 1953-1994, (October 1997) DOI: 10.1214/aop/1023481117 Open Access
KEYWORDS: Diffusion processes with small noise, first eigenvalue and eigenfunction, discounted control problem, viscosity solution, large deviations, risk sensitive control, Primary 60H30, 93B36, 93E20
Feng-Yu Wang
Ann. Probab. 25 (4), 1995-2006, (October 1997) DOI: 10.1214/aop/1023481118 Open Access
KEYWORDS: heat kernel, logarithmic transformation, diffusion process, 58G11, 60H10
Paul Deheuvels
Ann. Probab. 25 (4), 2007-2054, (October 1997) DOI: 10.1214/aop/1023481119 Open Access
KEYWORDS: Empirical processes, Quantile processes, order statistics, Law of the iterated logarithm, Almost sure convergence, strong laws, Strong invariance principles, strong approximation, Kiefer processes, Wiener processes, 60F15, 60G15
Tze Leung Lai, Victor H. de la Peña
Ann. Probab. 25 (4), 2055-2081, (October 1997) DOI: 10.1214/aop/1023481120 Open Access
KEYWORDS: Decoupling inequalities, Martingales, stopping times, $U$-statistics, Wald’s equation, uniform integrability, 60G40, 60F25, 62L12
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