VOL. 25 · NO. 1 | January 1997
 
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Articles
Thomas M. Liggett
Ann. Probab. 25 (1), 1-29, (January 1997) DOI: 10.1214/aop/1024404276
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
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
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
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
KEYWORDS: Infinite particle system, Duality, 60K35
Carl Graham, Sylvie Méléard
Ann. Probab. 25 (1), 115-132, (January 1997) DOI: 10.1214/aop/1024404281
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
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
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
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
KEYWORDS: Isoperimetry, discrete cube, Gaussian measure, 60B, 60G15
John Bunge
Ann. Probab. 25 (1), 215-229, (January 1997) DOI: 10.1214/aop/1024404286
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
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
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
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
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
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
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
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
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
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
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
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
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
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