VOL. 34 · NO. 5 | September 2006
Ann. Probab. 34 (5), (September 2006) Open Access
No abstract available
Ann. Probab. 34 (5), (September 2006) Open Access
No abstract available
Ben Morris
Ann. Probab. 34 (5), 1645-1664, (September 2006) DOI: 10.1214/009117906000000304 Open Access
KEYWORDS: Zero range process, spectral gap, 60K35, 82C22
Russell Lyons,, Yuval Peres, Oded Schramm
Ann. Probab. 34 (5), 1665-1692, (September 2006) DOI: 10.1214/009117906000000269 Open Access
KEYWORDS: Spanning trees, Cayley graphs, amenability, percolation, 60B99, 60K35, 82B43, 60D05, 20F65
Anders Karlsson, François Ledrappier
Ann. Probab. 34 (5), 1693-1706, (September 2006) DOI: 10.1214/009117906000000296 Open Access
KEYWORDS: Law of Large Numbers, Random walk, multiplicative ergodic theorem, horofunctions, 60F99, 60B99, 37A30, 60J50, 60J65
Raphaël Rossignol
Ann. Probab. 34 (5), 1707-1725, (September 2006) DOI: 10.1214/009117906000000287 Open Access
KEYWORDS: threshold, influence of variables, Zero–one law, logarithmic Sobolev inequalities, 60F20, 28A35, 60E15
B. T. Graham, G. R. Grimmett
Ann. Probab. 34 (5), 1726-1745, (September 2006) DOI: 10.1214/009117906000000278 Open Access
KEYWORDS: influence, sharp threshold, monotonic measure, FKG lattice condition, positive association, Random-cluster model, percolation, 60E15, 60K35, 82B31, 82B43
Francis Comets, Nobuo Yoshida
Ann. Probab. 34 (5), 1746-1770, (September 2006) DOI: 10.1214/009117905000000828 Open Access
KEYWORDS: Directed polymers, random environment, weak disorder, diffusive behavior, invariance principle, FKG inequality, 60K35, 60G42, 82A51, 82D30
Witold Bednorz
Ann. Probab. 34 (5), 1771-1781, (September 2006) DOI: 10.1214/009117906000000241 Open Access
KEYWORDS: majorizing measures, Sample boundedness, 60G17, 28A99
Larry Goldstein, Aihua Xia
Ann. Probab. 34 (5), 1782-1806, (September 2006) DOI: 10.1214/009117906000000250 Open Access
KEYWORDS: Stein’s method, integer-valued random variables, Total variation, 60F05, 60G50
Svante Janson
Ann. Probab. 34 (5), 1807-1826, (September 2006) DOI: 10.1214/009117906000000232 Open Access
KEYWORDS: Sheppard’s correction, moments, Characteristic function, Gumbel distribution, random assignment, digital search tree, Patricia trie, 60E05, 60F05, 60C05
Alex Gamburd
Ann. Probab. 34 (5), 1827-1848, (September 2006) DOI: 10.1214/009117906000000223 Open Access
KEYWORDS: Poisson–Dirichlet distribution, Belyi surfaces, Random regular graphs, 60K35, 05C80, 58C40
Tomasz Szarek
Ann. Probab. 34 (5), 1849-1863, (September 2006) DOI: 10.1214/009117906000000313 Open Access
KEYWORDS: e-chain, invariant measure, stability, 60J05, 37A30
Rami Atar, Amarjit Budhiraja
Ann. Probab. 34 (5), 1864-1909, (September 2006) DOI: 10.1214/009117906000000359 Open Access
KEYWORDS: singular control, state constraints, viscosity solutions, Hamilton–Jacobi–Bellman equations, Skorohod problem, Brownian control problems, Stochastic networks, 93E20, 60H30, 60J60, 35J60
Leonid Mytnik, Edwin Perkins, Anja Sturm
Ann. Probab. 34 (5), 1910-1959, (September 2006) DOI: 10.1214/009117906000000331 Open Access
KEYWORDS: heat equation, colored noise, Stochastic partial differential equation, uniqueness, existence, 60H15, 60K35, 60K37, 60J80, 60F05
Liming Wu
Ann. Probab. 34 (5), 1960-1989, (September 2006) DOI: 10.1214/009117906000000368 Open Access
KEYWORDS: Poincaré inequality, transportation inequality, Gibbs measure, Dobrushin’s uniqueness condition, 60E15, 60K35, 60G60
Jeremy Quastel
Ann. Probab. 34 (5), 1990-2036, (September 2006) DOI: 10.1214/009117906000000322 Open Access
KEYWORDS: Hydrodynamic limit, Disordered systems, 60K37, 60K35, 82C44
Gerard Ben Arous, Dan Virgil Voiculescu
Ann. Probab. 34 (5), 2037-2059, (September 2006) DOI: 10.1214/009117906000000016 Open Access
KEYWORDS: Free max-stable laws, free extremal process, generalized Pareto laws, Ando spectral order, 46L54, 60G70, 46L53
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