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Articles
Christophe Bahadoran, Hervé Guiol, Krishnamurthi Ravishankar, Ellen Saada
Electron. J. Probab. 15, 1-43, (2010) DOI: 10.1214/EJP.v15-728
KEYWORDS: strong (a.s.) hydrodynamics, Attractive particle system, graphical construction, non-explicit invariant measures, Non-convex or non-concave flux, Entropy solution, Glimm scheme, 60K35, 82C22
Toshiro Watanabe, Kouji Yamamuro
Electron. J. Probab. 15, 44-74, (2010) DOI: 10.1214/EJP.v15-732
KEYWORDS: Infinite divisibility, L'evy measure, $O$-subexponentiality, dominated variation, exponential class, 60E07, 60F99
Eric Nordenstam
Electron. J. Probab. 15, 75-95, (2010) DOI: 10.1214/EJP.v15-730
KEYWORDS: random tilings, Brownian motion, random matrices, 60C05, 60G50
James Fill, Mark Huber
Electron. J. Probab. 15, 96-109, (2010) DOI: 10.1214/EJP.v15-734
KEYWORDS: perfect simulation, Markov chain, coupling into and from the past, dominating chain, Multigamma Coupler, perpetuity, Vervaat perpetuities, QuickSelect, Dickman distribution, 60J10, 65C05, 68U20, 60E05, 60E15
Wenbo Li, Xinyi Zhang
Electron. J. Probab. 15, 110-141, (2010) DOI: 10.1214/EJP.v15-735
KEYWORDS: expected length, minimum spanning tree, The Tutte Polynomial, The Multivariate Tutte Polynomial, random graph, Wheel Graph, Cylinder Graph, 60C05, 05C05, 05C31
Myriam Fradon
Electron. J. Probab. 15, 142-161, (2010) DOI: 10.1214/EJP.v15-739
KEYWORDS: Stochastic differential equation, hard core interaction, reversible measure, normal reflection, Local time, Brownian globule, 60K35, 60J55, 60H10
Nick Barton, Alison Etheridge, Amandine Véber
Electron. J. Probab. 15, 162-216, (2010) DOI: 10.1214/EJP.v15-741
KEYWORDS: genealogy, Evolution, multiple merger coalescent, spatial continuum, spatial Lambda-coalescent, Generalised Fleming-Viot process, 60J25, 92D10, 92D15
Vlada Limic
Electron. J. Probab. 15, 217-240, (2010) DOI: 10.1214/EJP.v15-742
KEYWORDS: Exchangeable coalescents, small-time asymptotics, coming down from infinity, martingale technique, 60J25, 60F99, 92D25
Rémi Rhodes, Vincent Vargas
Electron. J. Probab. 15, 241-258, (2010) DOI: 10.1214/EJP.v15-746
KEYWORDS: Random measures, Multifractal processes, 60G57, 28A78, 28A80
Alessandra Faggionato
Electron. J. Probab. 15, 259-291, (2010) DOI: 10.1214/EJP.v15-748
KEYWORDS: Disordered system, bond percolation, Zero range process, Hydrodynamic limit, Homogenization‎, stochastic domination, 60K35, 60J27, 82C44
Denis Denisov, Vitali Wachtel
Electron. J. Probab. 15, 292-322, (2010) DOI: 10.1214/EJP.v15-752
KEYWORDS: Dyson's Brownian motion, Doob h-transform, Weyl chamber, 60G50, 60G40, 60F17
Florent Barret, Anton Bovier, Sylvie Méléard
Electron. J. Probab. 15, 323-345, (2010) DOI: 10.1214/EJP.v15-751
KEYWORDS: metastability, coupled bistable systems, stochastic Ginzburg-Landau equation, Metastable transition time, capacity estimates, 82C44, 60K35
Patrick Cattiaux, Nathael Gozlan, Arnaud Guillin, Cyril Roberto
Electron. J. Probab. 15, 346-385, (2010) DOI: 10.1214/EJP.v15-754
KEYWORDS: weighted Poincaré inequalities, weighted Cheeger inequalities, Lyapunov function, weak inequalities, isoperimetric profile, 60E15 - 26D10
Enrique Andjel, Judith Miller, Etienne Pardoux
Electron. J. Probab. 15, 386-408, (2010) DOI: 10.1214/EJP.v15-769
KEYWORDS: two-type contact process, survival, 60K35, 93D25
Michael Kinnally, Ruth Williams
Electron. J. Probab. 15, 409-451, (2010) DOI: 10.1214/EJP.v15-756
KEYWORDS: Stochastic differential equation, Delay equation, stationary distribution, normal reflection, Lyapunov/Razumikhin-type argument, asymptotic coupling, 34K50, 37H10, 60H10, 60J25, 93E15
Chunrong Feng, Huaizhong Zhao
Electron. J. Probab. 15, 452-483, (2010) DOI: 10.1214/EJP.v15-770
KEYWORDS: semimartingale local time, geometric rough path, Young integral, rough path integral, L'evy processes, 60H05, 58J99
Lijun Bo, Kehua Shi, Yongjin Wang
Electron. J. Probab. 15, 484-525, (2010) DOI: 10.1214/EJP.v15-760
KEYWORDS: Stochastic Cahn-Hilliard equation, space-time white noise, Stroock-Varadhan support theorem, 60H15, 60H05
Laszlo Erdos, Jose Ramirez, Benjamin Schlein, Horng-Tzer Yau
Electron. J. Probab. 15, 526-604, (2010) DOI: 10.1214/EJP.v15-768
KEYWORDS: Wigner random matrix, Dyson sine kernel, 15A52, 82B44
Stephanie Jacquot
Electron. J. Probab. 15, 605-635, (2010) DOI: 10.1214/EJP.v15-767
KEYWORDS: historical trees, Marcus-Lushnikov process on trees, limit measure on trees, Smoluchowski coagulation equation, tightness, coupling, 60B10, 60J25, 60B05, 60F15
Yukio Nagahata, Nobuo Yoshida
Electron. J. Probab. 15, 636-653, (2010) DOI: 10.1214/EJP.v15-757
KEYWORDS: Localization, Linear systems, binary contact path process, potlatch process, 60K35, 60J25, 60J75
Quentin Berger, Fabio Toninelli
Electron. J. Probab. 15, 654-683, (2010) DOI: 10.1214/EJP.v15-761
KEYWORDS: Pinning models, Random walk, Fractional moment method, Marginal disorder, 82B44, 60K35, 82B27, 60K37
Luisa Beghin, Enzo Orsingher
Electron. J. Probab. 15, 684-709, (2010) DOI: 10.1214/EJP.v15-762
KEYWORDS: Fractional difference-differential equations, Generalized Mittag-Leffler functions, Fractional Poisson processes, processes with random time, Renewal function, Cox process, 60K05, 33E12, 26A33
David Revelle, Russ Thompson
Electron. J. Probab. 15, 710-722, (2010) DOI: 10.1214/EJP.v15-773
KEYWORDS: nilpotent group, Schreier graph, Random walk, recurrence, volume growth, 60B15, 20F65
Eric Shellef
Electron. J. Probab. 15, 723-740, (2010) DOI: 10.1214/EJP.v15-775
KEYWORDS: Key words and phrases: Internal Diffusion Limited Aggregation, IDLA, Supercritical percolation, 60K35
Louigi Addario-Berry, Nicolas Broutin, Christina Goldschmidt
Electron. J. Probab. 15, 741-775, (2010) DOI: 10.1214/EJP.v15-772
KEYWORDS: random graph, real tree, Scaling limit, Gromov--Hausdorff distance, Brownian excursion, Continuum random tree, Poisson process, urn model, 05C80, 60C05
Jean-François Delmas, Jean-Stéphane Dhersin, Arno Siri-Jegousse
Electron. J. Probab. 15, 776-800, (2010) DOI: 10.1214/EJP.v15-771
KEYWORDS: Wright-Fisher diffusion, MRCA, Kingman coalescent tree, resurrected process, quasi-stationary distribution, 60J70, 60K35, 92D25
Remco van der Hofstad, Akira Sakai
Electron. J. Probab. 15, 801-894, (2010) DOI: 10.1214/EJP.v15-783
KEYWORDS: contact process, Mean-field behavior, Critical exponents, Super-Brownian motion, 60J65
Aimé Lachal, Valentina Cammarota
Electron. J. Probab. 15, 895-931, (2010) DOI: 10.1214/EJP.v15-782
KEYWORDS: Pseudo-process, joint distribution of the process and its sojourn time, Spitzer's identity, 60G20, 60J25, 60K35, 60J05
Francis Hirsch, Marc Yor
Electron. J. Probab. 15, 932-961, (2010) DOI: 10.1214/EJP.v15-786
KEYWORDS: Convex order, Self-decomposable law, Sato process, Karhunen-Loeve representation, Perturbed Bessel process, Ray-Knight theorem, 60J25
Peter Eichelsbacher, Matthias Loewe
Electron. J. Probab. 15, 962-988, (2010) DOI: 10.1214/EJP.v15-777
KEYWORDS: Berry-Esseen bound, Stein's method, Exchangeable pairs, Curie Weiss models, Critical temperature, GHS-inequality, 60F05, 82B20, 82B26
Remi Rhodes
Electron. J. Probab. 15, 989-1023, (2010) DOI: 10.1214/EJP.v15-776
KEYWORDS: Homogenization‎, Functional limit theorem, Reflected stochastic differential equation, random medium, Skorohod problem, Local time, 60F17, 60K37, 74Q99
Jonathon Peterson
Electron. J. Probab. 15, 1024-1040, (2010) DOI: 10.1214/EJP.v15-784
KEYWORDS: Random walk in random environment, Hydrodynamic limit, large deviations, 60K37, 60F10, 60K35
Martin Ondrejat
Electron. J. Probab. 15, 1041-1091, (2010) DOI: 10.1214/EJP.v15-789
KEYWORDS: Stochastic wave equation, 60H15
Dirk Zeindler
Electron. J. Probab. 15, 1092-1118, (2010) DOI: 10.1214/EJP.v15-781
KEYWORDS: random permutation matrices, Symmetric group, characteristic polynomials, Feller coupling, asymptotic behavior of moments, generating functions, 15B52
Takahiro Aoyama, Alexander Lindner, Makoto Maejima
Electron. J. Probab. 15, 1119-1142, (2010) DOI: 10.1214/EJP.v15-791
KEYWORDS: infinitely divisible distribution, the Goldie-Steutel-Bondesson class, stochastic integral mapping, compound Poisson process, limit of the ranges of the iterated mappings, 60E07
David Windisch
Electron. J. Probab. 15, 1143-1160, (2010) DOI: 10.1214/EJP.v15-787
KEYWORDS: Random walk, ‎range‎, Entropy, 60G50, 60J05
Kohei Uchiyama
Electron. J. Probab. 15, 1161-1189, (2010) DOI: 10.1214/EJP.v15-793
KEYWORDS: Asymptotic formula, Green function, random walk of zero mean and finite variances, absorption on a line, 60G50
J. Theodore Cox, Mathieu Merle, Edwin Perkins
Electron. J. Probab. 15, 1190-1266, (2010) DOI: 10.1214/EJP.v15-795
KEYWORDS: Lotka-Volterra, voter model, Super-Brownian motion, spatial competition, coalescing random walk, Coexistence, survival, 60K35, 60G57, 60J80
Xavier Bardina, Maria Jolis, Lluís Quer-Sardanyons
Electron. J. Probab. 15, 1267-1295, (2010) DOI: 10.1214/EJP.v15-792
KEYWORDS: Stochastic heat equation, White noise, weak convergence, two-parameter Poisson process, Donsker kernels, 60B12, 60G60, 60H15
Pawel Szablowski
Electron. J. Probab. 15, 1296-1318, (2010) DOI: 10.1214/EJP.v15-796
KEYWORDS: normal distribution, Poisson-Mehler expansion formula, q-Hermite, Al-Salam-Chihara Chebyshev, Askey-Wilson polynomials, Markovproperty, 62H10, 62E10, 60E05, 60E99
Michel Ledoux, Brian Rider
Electron. J. Probab. 15, 1319-1343, (2010) DOI: 10.1214/EJP.v15-798
KEYWORDS: random matrices, Eigenvalues, Small deviations, 60B20, 60F99
A. D. Barbour, Oliver Johnson, Ioannis Kontoyiannis, Mokshay Madiman
Electron. J. Probab. 15, 1344-1369, (2010) DOI: 10.1214/EJP.v15-799
KEYWORDS: compound Poisson approximation, Fisher information, information theory, Relative entropy, Stein's method, 60E15, 60E07, 60F05, 94A17
Rene Schilling, Alexander Schnurr
Electron. J. Probab. 15, 1369-1393, (2010) DOI: 10.1214/EJP.v15-807
KEYWORDS: Stochastic differential equation, L'evy process, Semimartingale, ‎pseudo-differential operator, Blumenthal-Getoor index, Sample path properties, 60J75, 47G30, 60H20, 60J25, 60G51, 60G17
Erik Broman, Federico Camia
Electron. J. Probab. 15, 1394-1414, (2010) DOI: 10.1214/EJP.v15-805
KEYWORDS: Random fractals, fractal percolation, continuum percolation, Mandelbrot percolation, phase transition, Crossing probability, discontinuity, Brownian loop soup, Poisson Boolean model, 60D05, 28A80, 60K35
Geoffrey Grimmett, Alexander Holroyd
Electron. J. Probab. 15, 1415-1428, (2010) DOI: 10.1214/EJP.v15-804
KEYWORDS: entanglement, percolation, random sphere, 60K35, 82B20
Romain Abraham, Jean-François Delmas, Guillaume Voisin
Electron. J. Probab. 15, 1429-1473, (2010) DOI: 10.1214/EJP.v15-802
KEYWORDS: Continuum random tree, Lévy snake, special Markov property, 60J25, 60G57, 60J80
E. Davies
Electron. J. Probab. 15, 1474-1486, (2010) DOI: 10.1214/EJP.v15-733
KEYWORDS: Markov matrix, embeddability, Markov generator, Eigenvalues, 60J27, 60J22, 60J10, 65C40
Peccati Giovanni, Cengbo Zheng
Electron. J. Probab. 15, 1487-1527, (2010) DOI: 10.1214/EJP.v15-813
KEYWORDS: central limit theorems, Malliavin calculus, Multi-dimensional normal approximations, Ornstein-Uhlenbeck processes, Poisson measures, Probabilistic Interpolations, Stein's method, 60F05, 60G51, 60G57, 60H05, 60H07
Carlo Marinelli, Michael Roeckner
Electron. J. Probab. 15, 1529-1555, (2010) DOI: 10.1214/EJP.v15-818
KEYWORDS: Stochastic pde, Reaction-diffusion equations, Poisson measures, monotone operators, 60H15, 60G57
Jan Seidler
Electron. J. Probab. 15, 1556-1573, (2010) DOI: 10.1214/EJP.v15-808
KEYWORDS: stochastic integrals in 2-smooth Banach spaces, Burkholder-Davis-Gundy inequality, exponential tail estimates, stochastic convolutions, 60H15
Antar Bandyopadhyay, Rahul Roy, Anish Sarkar
Electron. J. Probab. 15, 1574-1593, (2010) DOI: 10.1214/EJP.v15-809
KEYWORDS: Coexistence, Learning from neighbours, Markov chain, Random walk, stationary distribution, 60J10, 60K35, 60C05, 62E10, 90B15, 91D30
Jérémie Bettinelli
Electron. J. Probab. 15, 1594-1644, (2010) DOI: 10.1214/EJP.v15-810
KEYWORDS: Random map, Random tree, conditioned process, Gromov topology, 60F17
Stéphane Menozzi, Vincent Lemaire
Electron. J. Probab. 15, 1645-1681, (2010) DOI: 10.1214/EJP.v15-814
KEYWORDS: Non asymptotic Monte Carlo bounds, discretization schemes, Gaussian concentration, 60H35, 65C30, 65C05, 60E15
Shankar Bhamidi, Remco van der Hofstad, Johan van Leeuwaarden
Electron. J. Probab. 15, 1682-1702, (2010) DOI: 10.1214/EJP.v15-817
KEYWORDS: Critical random graphs, Phase transitions, inhomogeneous networks, Brownian excursions, size-biased ordering, martingale techniques, 60C05, 05C80, 90B15
Gesine Reinert, Ivan Nourdin, Giovanni Peccati
Electron. J. Probab. 15, 1703-1742, (2010) DOI: 10.1214/EJP.v15-823
KEYWORDS: central limit theorems, Discrete Malliavin operators, Normal approximation, Rademacher sequences, Sparse sets, Stein's method, Walsh chaos, 60F05, 60F99, 60G50, 60H07
Jecek Jakubowski, Mariusz Nieweglowski
Electron. J. Probab. 15, 1743-1771, (2010) DOI: 10.1214/EJP.v15-815
KEYWORDS: $mathbb{F}$-doubly stochastic Markov chain, intensity, Kolmogorov equations, Martingale characterization, sojourn time, predictable representation theorem, 60G99, 60G55, 60G44, 60G17, 60K99
David Croydon, Benjamin Hambly
Electron. J. Probab. 15, 1772-1801, (2010) DOI: 10.1214/EJP.v15-819
KEYWORDS: stable tree, self-similar decomposition, Spectral asymptotics, heat kernel, 35P20, 28A80, 58G25, 60J35, 60J80
Marcus Warfheimer
Electron. J. Probab. 15, 1802-1824, (2010) DOI: 10.1214/EJP.v15-820
KEYWORDS: stochastic domination, Ising model, fuzzy Potts model, domination of product measures, 60K35
Juerg Huesler, Anna Ladneva, Vladimir Piterbarg
Electron. J. Probab. 15, 1825-1862, (2010) DOI: 10.1214/EJP.v15-828
KEYWORDS: Gaussian process, Extreme values, Clusters, separated clusters, asymptotic behavior, correlation function, 60G70, 60G15, 60G10
Hsien-Kuei Hwang, Tsung-Hsi Tsai
Electron. J. Probab. 15, 1863-1892, (2010) DOI: 10.1214/EJP.v15-825
KEYWORDS: Multivariate records, Pareto optimality, central limit theorems, Berry-Esseen bound, partial orders, dominance, 60C05 60F05 60G70
Svante Janson, Guy Louchard, Anders Martin-Löf
Electron. J. Probab. 15, 1893-1929, (2010) DOI: 10.1214/EJP.v15-830
KEYWORDS: Brownian motion, parabolic drift, Airy functions, 60J65
Piet Groeneboom
Electron. J. Probab. 15, 1930-1937, (2010) DOI: 10.1214/EJP.v15-826
KEYWORDS: Brownian motion, parabolic drift, Maximum, Airy functions, 60J65, 60J75
Janos Englander
Electron. J. Probab. 15, 1938-1970, (2010) DOI: 10.1214/EJP.v15-822
KEYWORDS: Branching Brownian motion, Super-Brownian motion, Center of mass, self-interaction, Curie-Weiss model, McKean-Vlasov limit, branching Ornstein-Uhlenbeck process, Spatial branching processes, H-transform, 60J60, 60J80
Peter Bank, Christoph Baumgarten
Electron. J. Probab. 15, 1971-1993, (2010) DOI: 10.1214/EJP.v15-835
KEYWORDS: Optimal stopping, Gittins index, Multi-armed bandit problems, American options, universal stopping signal, 60G40, 60J60, 91G20
Lihu Xu, Boguslaw Zegarlinski
Electron. J. Probab. 15, 1994-2018, (2010) DOI: 10.1214/EJP.v15-831
KEYWORDS: Exponential mixing, White symmetric $alpha$-stable processes, Lie bracket, Finite speed of propagation of information, Gradient bounds, 37L55, 60H10, 60H15
Neal Madras, C. Wu
Electron. J. Probab. 15, 2019-2040, (2010) DOI: 10.1214/EJP.v15-837
KEYWORDS: percolation, lattice animal, lattice tree, Critical exponents, mean field behaviour, hyperbolic geometry, hyperbolic lattice, 60K35, 05B45, 51M09, 82B41, 82B43
Jing Xu, Bo Zhang
Electron. J. Probab. 15, 2041-2068, (2010) DOI: 10.1214/EJP.v15-832
KEYWORDS: G-Brownian motion, g-expectation, Martingale characterization, capacity, 60H05, 60H10
Omar Boukhadra
Electron. J. Probab. 15, 2069-2086, (2010) DOI: 10.1214/EJP.v15-839
KEYWORDS: Markov chains, Random walk, random environments, Random conductances, percolation, 60G50, 60J10, 60K37
Samuel Herrmann, Julian Tugaut
Electron. J. Probab. 15, 2087-2116, (2010) DOI: 10.1214/EJP.v15-842
KEYWORDS: self-interacting diffusion, Stationary measures, double well potential, perturbed dynamical system, Laplace's method, 60H10, 60J60, 60G10, 41A60
Ivan Nourdin, Anthony Réveillac, Jason Swanson
Electron. J. Probab. 15, 2117-2162, (2010) DOI: 10.1214/EJP.v15-843
KEYWORDS: stochastic integration, Stratonovich integral, fractional Brownian motion, weak convergence, Malliavin calculus, 60H05, 60G15, 60G18, 60J05
Daniel Dufresne
Electron. J. Probab. 15, 2163-2199, (2010) DOI: 10.1214/EJP.v15-845
KEYWORDS: Beta distribution, beta product distribution, gamma distribution, G distributions, Barnes' lemmas, Mellin transforms, Infinite divisibility, Macdonald's function, 97K60, 65R10, 60E07, 33B15
Martin Hessler, Johan Wästlund
Electron. J. Probab. 15, 2200-2219, (2010) DOI: 10.1214/EJP.v15-846
KEYWORDS: Random graphs, Combinatorial optimization, 60C05, 90C27, 90C35
Daniel Valesin
Electron. J. Probab. 15, 2220-2260, (2010) DOI: 10.1214/EJP.v15-836
KEYWORDS: interacting particle systems, 60K35
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