Sommaire du Fascicule no. 4

Acknowledgment of Priority: Proof of a Conjecture of M. L. Eaton on the Characteristic Function of the Wishart Distribution

Peddada, Shyamal D. ; Richards, Donald St. P.

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Necessary and Sufficient Conditions for Sample Continuity of Random Fourier Series and of Harmonic Infinitely Divisible Processes

Talagrand, M.

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p. 1-28

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The Asymptotics of Stable Sausages in the Plane

Rosen, Jay

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p. 29-60

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A Central Limit Theorem for the Renormalized Self-Intersection Local Time of a Stationary Vector Gaussian Process

Berman, Simeon M.

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p. 61-81

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Self-Avoiding Walk on a Hierarchical Lattice in Four Dimensions

Brydges, David ; Evans, Steven N. ; Imbrie, John Z.

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p. 82-124

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Random Walk in a Random Environment and First-Passage Percolation on Trees

Lyons, Russell ; Pemantle, Robin

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p. 125-136

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Uniform Convergence of Martingales in the Branching Random Walk

Biggins, J. D.

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p. 137-151

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Finite Reversible Nearest Particle Systems in Inhomogeneous and Random Environments

Chen, Dayue ; Liggett, Thomas M.

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p. 152-173

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On the Behavior of Some Cellular Automata Related to Bootstrap Percolation

Schonmann, Roberto H.

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p. 174-193

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Brownian Fluctuations of the Edge for Critical Reversible Nearest-Particle Systems

Schinazi, Rinaldo

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p. 194-205

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Occupation Time Large Deviations for the Symmetric Simple Exclusion Process

Landim, C.

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p. 206-231

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On the Stability of a Population Growth Model with Sexual Reproduction on $Z^2$

Chen, Hwa-Nien

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p. 232-285

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The Behavior of Superprocesses Near Extinction

Tribe, Roger

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p. 286-311

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Stability in Distribution for a Class of Singular Diffusions

Basak, Gopal K. ; Bhattacharya, Rabi N.

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p. 312-321

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Weak Convergence of Population Genealogical Processes to the Coalescent with Ages

Donnelly, Peter ; Joyce, Paul

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p. 322-341

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On Choquet's Dichotomy of Capacity for Markov Processes

Fitzsimmons, P. J. ; Kanda, Mamoru

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p. 342-349

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On a Class of Stochastic Recursive Sequences Arising in Queueing Theory

Baccelli, Francois ; Liu, Zhen

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p. 350-374

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Ergodic Theory of Stochastic Petri Networks

Baccelli, Francois

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p. 375-396

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Explicit Codes for Some Infinite Entropy Bernoulli Shifts

Kalikow, Steven ; Weiss, Benjamin

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p. 397-402

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Entropy and Prefixes

Shields, Paul C.

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p. 403-409

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A Note on Translation Continuity of Probability Measures

Zabell, S. L.

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p. 410-420

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Fusions of a Probability Distribution

Elton, J. ; Hill, T. P.

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p. 421-454

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Asymptotic Behavior of Self-Normalized Trimmed Sums: Nonnormal Limits

Hahn, Marjorie G. ; Weiner, Daniel C.

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p. 455-482

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Weak Convergence of Sums of Moving Averages in the $\alpha$-Stable Domain of Attraction

Avram, Florin ; Taqqu, Murad S.

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p. 483-503

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Large Deviations for a Reaction-Diffusion Equation with Non-Gaussian Perturbations

Sowers, Richard B.

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p. 504-537

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Representation of Measures by Balayage from a Regular Recurrent Point

Bertoin, J. ; Jan, Y. Le

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p. 538-548

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Review: Xiang-Qun Yang, The Construction Theory of Denumerable Markov Processes

Pollett, P. K.

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p. 549-552

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Multiple Points of Sample Paths of Markov Processes

Shieh, Narn-Rueih

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p. 553-562

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Symmetry Groups of Markov Processes

Liao, Ming

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p. 563-578

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Polar and Nonpolar Sets for a Tree Indexed Process

Evans, Steven N.

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p. 579-590

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The Sharp Markov Property of Levy Sheets

Dalang, Robert C. ; Walsh, John B.

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p. 591-626

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Moment Inequalities for Functionals of the Brownian Convex Hull

Khoshnevisan, Davar

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p. 627-630

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Brownian Motion in Denjoy Domains

Bishop, Christopher J.

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p. 631-651

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A Note on Conditional Exponential Moments and Onsager-Machlup Functionals

Shepp, Larry A. ; Zeitouni, Ofer

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p. 652-654

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Brownian Exit Distributions from Normal Balls in $S^3 \times H^3$

Hughes, H. R.

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p. 655-659

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The Law of the Iterated Logarithm for Independent Random Variables with Multidimensional Indices

Li, Deli ; Rao, M. Bhaskara ; Wang, Xiangchen

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p. 660-674

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On the Law of the Iterated Logarithm for Martingales

Fisher, Evan

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p. 675-680

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The A.S. Behavior of the Weighted Empirical Process and the LIL for the Weighted Tail Empirical Process

Einmahl, John H. J.

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p. 681-695

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The Survival of One-Dimensional Contact Processes in Random Environments

Liggett, Thomas M.

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p. 696-723

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Equilibrium Behavior of the Sexual Reproduction Process with Rapid Diffusion

Noble, Chris

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p. 724-745

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On a Maximum Sequence in a Critical Multitype Branching Process

Athreya, K. B.

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p. 746-752

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Nonlinear Markov Renewal Theory with Statistical Applications

Melfi, Vincent F.

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p. 753-771

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Phase-Type Representations in Random Walk and Queueing Problems

Asmussen, Soren

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p. 772-789

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A Distributional Form of Little's Law in Heavy Traffic

Szczotka, Wladyslaw

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p. 790-800

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Limit Theorems for Random Walks Conditioned to Stay Positive

Keener, Robert W.

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p. 801-824

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On the Position of a Random Walk at the Time of First Exit from a Sphere

Griffin, Philip S. ; McConnell, Terry R.

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p. 825-854

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A Necessary Condition for Making Money from Fair Games

Kesten, Harry ; Lawler, Gregory F.

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p. 855-882

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Randomized Stopping Points and Optimal Stopping on the Plane

Nualart, David

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p. 883-900

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Universal Schemes for Prediction, Gambling and Portfolio Selection

Algoet, Paul

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p. 901-941

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Superdiffusions and Parabolic Nonlinear Differential Equations

Dynkin, E. B.

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p. 942-962

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Reaction-Diffusion Equations with Randomly Perturbed Boundary Conditions

Freidlin, Mark I. ; Wentzell, Alexander D.

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p. 963-986

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Strong Moderate Deviation Theorems

Inglot, Tadeusz ; Kallenberg, Wilbert C. M. ; Ledwina, Teresa

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p. 987-1003

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On the Large Deviation Principle for Stationary Weakly Dependent Random Fields

Bryc, Wlodzimierz

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p. 1004-1030

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Inequalities for Increments of Stochastic Processes and Moduli of Continuity

Csaki, Endre ; Csorgo, Miklos

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p. 1031-1052

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Operator Exponents of Probability Measures and Lie Semigroups

Jurek, Zbigniew J.

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p. 1053-1062

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On the Parabolic Martin Boundary of the Ornstein-Uhlenbeck Operator on Wiener Space

Rockner, Michael

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p. 1063-1085

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Almost Sure Convergence of Certain Slowly Changing Symmetric One- and Multi-Sample Statistics

Henze, N. ; Voigt, B.

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p. 1086-1098

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Review: Geoffrey Grimmett, Percolation

Bezuidenhout, Carol

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p. 1099-1104

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Correction: Random Tree-Type Partitions as a Model for Acyclic Polymerization: Holtsmark (3/2-Stable) Distribution of the Supercritical Gel

Pittel, B. ; Woyczynski, W. A. ; Mann, J. A.

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p. 1105-1106

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Rough Large Deviation Estimates for Simulated Annealing: Application to Exponential Schedules

Catoni, Olivier

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p. 1109-1146

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Large Deviations for Exchangeable Random Vectors

Dinwoodie, I. H. ; Zabell, S. L.

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p. 1147-1166

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Binomial Mixtures and Finite Exchangeability

Wood, G. R.

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p. 1167-1173

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Random Stationary Processes

Alexander, Kenneth S. ; Kalikow, Steven A.

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p. 1174-1198

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String Matching: The Ergodic Case

Shields, Paul C.

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p. 1199-1203

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A Note on the Convergence of Sums of Independent Random Variables

Hildebrand, Adolf

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p. 1204-1212

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One-Sided Refinements of the Strong Law of Large Numbers and the Glivenko-Cantelli Theorem

Gilat, David ; Hill, T. P.

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p. 1213-1221

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A Difference Prophet Inequality for Bounded I.I.D. Variables, with Cost for Observations

Samuel-Cahn, Ester

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p. 1222-1228

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On Generalized Renewal Measures and Certain First Passage Times

Alsmeyer, Gerold

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p. 1229-1247

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Functional Laws of the Iterated Logarithm for the Increments of Empirical and Quantile Processes

Deheuvels, Paul ; Mason, David M.

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p. 1248-1287

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Some Large-Deviation Theorems for Branching Diffusions

Lee, Tzong-Yow

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p. 1288-1309

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Limit Theorems for the Frontier of a One-Dimensional Branching Diffusion

Lalley, S. ; Sellke, T.

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p. 1310-1340

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Renormalization and Limit Theorems for Self-Intersections of Superprocesses

Rosen, Jay

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p. 1341-1368

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Asymptotic Series and Exit Time Probabilities

Fleming, W. H. ; James, M. R.

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p. 1369-1384

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Conditional Exits for Small Noise Diffusions with Characteristic Boundary

Day, Martin V.

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p. 1385-1419

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Quasi-Invariance of Product Measures Under Lie Group Perturbations: Fisher Information and $L^2$-Differentiability

de F. Marques, Mauro S. ; Martin, Luiz San

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p. 1420-1435

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When Does the Ramer Formula Look Like the Girsanov Formula?

Zakai, M. ; Zeitouni, O.

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p. 1436-1440

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Sur La Regularite Des Fonctions Aleatoires D'Ornstein-Uhlenbeck A Valeurs Dans $l_p, p \in \lbrack 1, \infty\lbrack$

Fernique, X.

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p. 1441-1449

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Semi-Min-Stable Processes

Penrose, Mathew D.

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p. 1450-1463

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An Extension of Pitman's Theorem for Spectrally Positive Levy Processes

Bertoin, Jean

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p. 1464-1483

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On the Distribution of the Hilbert Transform of the Local Time of a Symmetric Levy Process

Fitzsimmons, P. J. ; Getoor, R. K.

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p. 1484-1497

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A Note on Planar Brownian Motion

Brassesco, Stella

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p. 1498-1503

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The Stein-Chen Method, Point Processes and Compensators

Barbour, A. D. ; Brown, Timothy C.

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p. 1504-1527

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Clustering in the One-Dimensional Three-Color Cyclic Cellular Automaton

Fisch, Robert

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p. 1528-1548

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Automorphism Invariant Measures on Trees

Pemantle, Robin

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p. 1549-1566

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The Cycle Structure of Random Permutations

Arratia, Richard ; Tavare, Simon

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p. 1567-1591

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Isoperimetric Inequalities and Transient Random Walks on Graphs

Thomassen, Carsten

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p. 1592-1600

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Correction: Path Properties of Index-$\beta$ Stable Fields

Nolan, John P.

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p. 1601-1602

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Sample Path Properties of the Local Times of Strongly Symmetric Markov Processes Via Gaussian Processes

Marcus, Michael B. ; Rosen, Jay

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p. 1603-1684

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$p$-Variation of the Local Times of Symmetric Stable Processes and of Gaussian Processes with Stationary Increments

Marcus, Michael B. ; Rosen, Jay

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p. 1685-1713

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Strict Stationarity of Generalized Autoregressive Processes

Bougerol, Philippe ; Picard, Nico

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p. 1714-1730

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On the Spectral SLLN and Pointwise Ergodic Theorem in $L^\alpha$

Houdre, Christian

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p. 1731-1753

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A Functional Approach to the Stationary Waiting Time and Idle Period Distributions of the GI/G/1 Queue

Grubel, Rudolf ; Pitts, Susan M.

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p. 1754-1778

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Necessary and Sufficient Conditions for Asymptotic Normality of $L$-Statistics

Mason, David M. ; Shorack, Galen R.

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p. 1779-1804

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Ratios of Trimmed Sums and Order Statistics

Kesten, Harry ; Maller, R. A.

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p. 1805-1842

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Compound Poisson Approximation for Nonnegative Random Variables Via Stein's Method

Barbour, A. D. ; Chen, Louis H. Y. ; Loh, Wei-Liem

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p. 1843-1866

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Some Asymptotic and Large Deviation Results in Poisson Approximation

Chen, Louis H. Y. ; Choi, K. P.

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p. 1867-1876

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Decoupling and Khintchine's Inequalities for $U$-Statistics

de la Pena, Victor H.

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p. 1877-1892

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A Generalization of Holder's Inequality and Some Probability Inequalities

Finner, Helmut

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p. 1893-1901

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Large Deviations for a Class of Anticipating Stochastic Differential Equations

Millet, A. ; Nualart, D. ; Sanz, M.

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p. 1902-1931

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Brownian Motion and the Equilibrium Measure on the Julia Set of a Rational Mapping

Lalley, Steven P.

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p. 1932-1967

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Frechet Differentiability, $p$-Variation and Uniform Donsker Classes

Dudley, R. M.

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p. 1968-1982

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Uniform Donsker Classes of Functions

Sheehy, Anne ; Wellner, Jon A.

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p. 1983-2030

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The Critical Value for the Uniform Nearest Particle Process

Mountford, T. S.

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p. 2031-2042

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Random Walks, Capacity and Percolation on Trees

Lyons, Russell

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p. 2043-2088

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The Contact Process on Trees

Pemantle, Robin

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p. 2089-2116

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Internal Diffusion Limited Aggregation

Lawler, Gregory F. ; Bramson, Maury ; Griffeath, David

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p. 2117-2140

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Localization and Selection in a Mean Field Branching Random Walk in a Random Environment

Fleischmann, Klaus ; Greven, Andreas

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p. 2141-2163

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Review: E. G. Coffman, George S. Lueker, Probabilistic Analysis of Packing and Partitioning Algorithms

Jerrum, Mark

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p. 2164-2167

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