VOL. 41 · NO. 1 | January 2013
Ann. Probab. 41 (1), (January 2013) Open Access
No abstract available
Ann. Probab. 41 (1), (January 2013) Open Access
No abstract available
Hirofumi Osada
Ann. Probab. 41 (1), 1-49, (January 2013) DOI: 10.1214/11-AOP736 Open Access
KEYWORDS: Interacting Brownian particles, random matrices, Dyson’s model, Ginibre random point field, logarithmic potentials, Coulomb potentials, infinitely many particle systems, Dirichlet forms, Diffusions, 60K35, 60J60, 82C22, 82B21
Pierre Calka, Tomasz Schreiber, J. E. Yukich
Ann. Probab. 41 (1), 50-108, (January 2013) DOI: 10.1214/11-AOP707 Open Access
KEYWORDS: Functionals of random convex hulls, paraboloid growth and hull processes, Brownian sheets, stabilization, 60F05, 60D05
Rama Cont, David-Antoine Fournié
Ann. Probab. 41 (1), 109-133, (January 2013) DOI: 10.1214/11-AOP721 Open Access
KEYWORDS: stochastic calculus, functional calculus, functional Itô formula, Malliavin derivative, Martingale representation, Semimartingale, Wiener functionals, Clark–Ocone formula, 60H05, 60H07, 60G44, 60H25
Robert J. Adler, Gennady Samorodnitsky, Jonathan E. Taylor
Ann. Probab. 41 (1), 134-169, (January 2013) DOI: 10.1214/11-AOP738 Open Access
KEYWORDS: Infinitely divisible random fields, moving average, Excursion sets, Extrema, critical points, Euler characteristic, Morse theory, geometry, 60G52, 60G60, 60D05, 60G10, 60G17
Yuzuru Inahama
Ann. Probab. 41 (1), 170-205, (January 2013) DOI: 10.1214/11-AOP733 Open Access
KEYWORDS: rough path theory, Laplace approximation, fractional Brownian motion, 60G22, 60F99, 60H10
Yizao Wang, Parthanil Roy, Stilian A. Stoev
Ann. Probab. 41 (1), 206-228, (January 2013) DOI: 10.1214/11-AOP732 Open Access
KEYWORDS: Stable, max-stable, Random field, ergodic theory, nonsingular group action, null action, positive action, ergodicity, 60G10, 60G52, 60G60, 37A40, 37A50
Omer Angel, Jesse Goodman, Mathieu Merle
Ann. Probab. 41 (1), 229-261, (January 2013) DOI: 10.1214/11-AOP731 Open Access
KEYWORDS: Invasion percolation, Scaling limit, real tree, 60K35, 82B43
Louis H. Y. Chen, Xiao Fang, Qi-Man Shao
Ann. Probab. 41 (1), 262-293, (January 2013) DOI: 10.1214/12-AOP746 Open Access
KEYWORDS: Stein’s method, Stein identity, Moderate deviations, Berry–Esseen bounds, zero-bias coupling, Exchangeable pairs, Dependent random variables, combinatorial central limit theorem, general system of binary codes, anti-voter model, Curie–Weiss model, 60F10, 60F05
Elchanan Mossel, Allan Sly
Ann. Probab. 41 (1), 294-328, (January 2013) DOI: 10.1214/11-AOP737 Open Access
KEYWORDS: Ising model, Glauber dynamics, phase transition, 60K35, 82B20, 82C20
Steffen Dereich, Peter Mörters
Ann. Probab. 41 (1), 329-384, (January 2013) DOI: 10.1214/11-AOP697 Open Access
KEYWORDS: Barabási–Albert model, Erdős–Rényi model, power law, Scale-free network, nonlinear preferential attachment, dynamic random graph, Giant component, cluster, multitype branching random walk, 05C80, 60C05, 90B15
Olav Kallenberg
Ann. Probab. 41 (1), 385-443, (January 2013) DOI: 10.1214/11-AOP702 Open Access
KEYWORDS: Measure-valued branching diffusions, moment measures and Palm distributions, local and global approximation, Historical process, cluster representation, Brownian snake, 60G57, 60J60, 60J80
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