VOL. 25 · NO. 1 | January 1997
Thomas M. Liggett
Ann. Probab. 25 (1), 1-29, (January 1997) DOI: 10.1214/aop/1024404276 Open Access
KEYWORDS: stochastic Ising model, contact processes, voter models, Exclusion processes, 60K35
Kenneth S. Alexander
Ann. Probab. 25 (1), 30-55, (January 1997) DOI: 10.1214/aop/1024404277 Open Access
KEYWORDS: subadditivity‎, First-passage percolation, Longest common subsequence, oriencted first-passage percolation, Connectivity function, 60K35, 82B43, 41A25, 60C05
Maury Bramson, J. T. Cox, Andreas Greven
Ann. Probab. 25 (1), 56-70, (January 1997) DOI: 10.1214/aop/1024404278 Open Access
KEYWORDS: Critical branching Brownian motion, critical Dawson-Watanabe process, Invariant measures, 60K35, 60J80
T. M. Liggett, R. H. Schonmann, A. M. Stacey
Ann. Probab. 25 (1), 71-95, (January 1997) DOI: 10.1214/aop/1024404279 Open Access
KEYWORDS: stochastic domination, Random fields, product measures, critical points, rescaling, 60G60, 60G10, 60K35
Peter Lloyd, Aidan Sudbury
Ann. Probab. 25 (1), 96-114, (January 1997) DOI: 10.1214/aop/1024404280 Open Access
KEYWORDS: Infinite particle system, Duality, 60K35
Carl Graham, Sylvie Méléard
Ann. Probab. 25 (1), 115-132, (January 1997) DOI: 10.1214/aop/1024404281 Open Access
KEYWORDS: Boltzmann equation, nonlinear diffusion with jumps, random graphs and tress, coupling, propagation of chaos, Monte Carlo algorithms, 60K35, 60F17, 47H15, 65C05, 76P05, 82C40, 82C80
Carl Mueller
Ann. Probab. 25 (1), 133-151, (January 1997) DOI: 10.1214/aop/1024404282 Open Access
KEYWORDS: wave equation, White noise, Stochastic partial differential equations, 60H15, 35R60, 35L05
I. G. Grama
Ann. Probab. 25 (1), 152-183, (January 1997) DOI: 10.1214/aop/1024404283 Open Access
KEYWORDS: martingale, central limit theorem, rate of convergence, Moderate deviation, 60F10, 60G44
S. G. Bobkov, C. Houdré
Ann. Probab. 25 (1), 184-205, (January 1997) DOI: 10.1214/aop/1024404284 Open Access
KEYWORDS: Isoperimetry, Poincaré inequalities, Cheeger's inequality, Khintchine-Kahane inequality, Hölder's inequality, 60E15, 28A35, 49Q20
S. G. Bobkov
Ann. Probab. 25 (1), 206-214, (January 1997) DOI: 10.1214/aop/1024404285 Open Access
KEYWORDS: Isoperimetry, discrete cube, Gaussian measure, 60B, 60G15
John Bunge
Ann. Probab. 25 (1), 215-229, (January 1997) DOI: 10.1214/aop/1024404286 Open Access
KEYWORDS: Class $L$ distribution, Decomposability semigroup, infinite Bernoulli convolution, infinitely divisible measure, normed sum, self-decomposable measure, 60E05, 60F05
P. J. Fitzsimmons
Ann. Probab. 25 (1), 230-258, (January 1997) DOI: 10.1214/aop/1024404287 Open Access
KEYWORDS: diffusion, Dirichlet space, Girsanov theorem, Absolute continuity, 60J60, 31C25
A. de Acosta
Ann. Probab. 25 (1), 259-284, (January 1997) DOI: 10.1214/aop/1024404288 Open Access
KEYWORDS: Moderate deviations, Markov chains, ergodicity of degree 2, 60F10
Qi-Man Shao
Ann. Probab. 25 (1), 285-328, (January 1997) DOI: 10.1214/aop/1024404289 Open Access
KEYWORDS: self-normalized partial sums, large deviation, Moderate deviation, Law of the iterated logarithm, limit distribution, $t$-statistic, 60F10, 60F15, 60G50, 62E20, the Erdös-Rényi-Shepp law of large numbers
Paul C. Shields
Ann. Probab. 25 (1), 329-336, (January 1997) DOI: 10.1214/aop/1024404290 Open Access
KEYWORDS: string matching, prefix codes, 60G17, 94A24
J. D. Biggins, A. E. Kyprianou
Ann. Probab. 25 (1), 337-360, (January 1997) DOI: 10.1214/aop/1024404291 Open Access
KEYWORDS: Martingales, Functional equations, Seneta-Heyde norming, Branching random walk, 60J80
Michel Benaïm
Ann. Probab. 25 (1), 361-392, (January 1997) DOI: 10.1214/aop/1024404292 Open Access
KEYWORDS: reinforced random walks, random perturbations of dynamical systems, chain recurrence, attractors, 60J10, 34F05, 34C35
Philip Protter, Denis Talay
Ann. Probab. 25 (1), 393-423, (January 1997) DOI: 10.1214/aop/1024404293 Open Access
KEYWORDS: Stochastic differenctial equations, Lévy processes, Euler method, Monte Carlo methods, simulation, 60H10, 65U05, 65C5, 60J30, 60E07, 65R20
M. A. Lifshits
Ann. Probab. 25 (1), 424-442, (January 1997) DOI: 10.1214/aop/1024404294 Open Access
KEYWORDS: Small balls, lower tail probabilities, Laplace transform, central limit theorem, sums of independent variables, 60F10, 60G15
Magda Peligrad, Sergey Utev
Ann. Probab. 25 (1), 443-456, (January 1997) DOI: 10.1214/aop/1024404295 Open Access
KEYWORDS: linear process, Dependent random variables, central limit theorem, 60G09, 60F05
Michael Voit
Ann. Probab. 25 (1), 457-477, (January 1997) DOI: 10.1214/aop/1024404296 Open Access
KEYWORDS: Random walks on $n$-spheres, central limit theorem, Gaussian measures, compact symmetric spaces of rank one, total variation distance, Jacobi polynomials, 60J15, 60F05, 60B10, 33C25, 42C10, 43A62
Martine Babillot, Philippe Bougerol, Laure Elie
Ann. Probab. 25 (1), 478-493, (January 1997) DOI: 10.1214/aop/1024404297 Open Access
KEYWORDS: Random coefficient autoregressive models, Random walk, affine group, stability, Renewal theorem, limit theorem, 60J10, 60K05, 60B15, 60J15
Z. D. Bai
Ann. Probab. 25 (1), 494-529, (January 1997) DOI: 10.1214/aop/1024404298 Open Access
KEYWORDS: circular law, complex random matrix, noncentral Hermitian matrix, largest and smallest eigenvalue of random matrix, spectral radius, 60F15, 62H99, spectral analysis of large-dimensional random matrices
Back to Top