An improved subadditive ergodic theorem

From MaRDI portal
Publication:1067297

DOI10.1214/aop/1176992811zbMath0579.60023OpenAlexW2001346830WikidataQ105584336 ScholiaQ105584336MaRDI QIDQ1067297

Thomas M. Liggett

Publication date: 1985

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176992811



Related Items

The shape theorem for the frog model, First-passage percolation in random planar maps and Tutte's bijection, A limit theorem for almost monotone sequences of random variables, Stationary random metrics on hierarchical graphs via \((\min,+)\)-type recursive distributional equations, Random walk in cooling random environment: ergodic limits and concentration inequalities, On large deviations for the parabolic Anderson model, Selected Topics in Random Walks in Random Environment, A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential, Multiple Phase Transitions in Long-Range First-Passage Percolation on Square Lattices, Isoperimetry in Two-Dimensional Percolation, Almost subadditive multiparameter ergodic theorems, The two-type Richardson model in the half-plane, Scaling limits for non-intersecting polymers and Whittaker measures, A shape theorem for a one-dimensional growing particle system with a bounded number of occupants per site, On multidimensional branching random walks in random environment, Busemann functions and Gibbs measures in directed polymer models on \(\mathbb{Z}^2 \), Existence and non-existence of transition fronts for bistable and ignition reactions, Rate of convergence of the mean for sub-additive ergodic sequences, Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model, First passage percolation on \(\mathbb {Z}^2\): a simulation study, Deposition processes with hardcore behaviour, Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation, Measure-valued growth processes in continuous space and growth properties starting from an infinite interface, Subadditive theorems in time-dependent environments, Law of large numbers and central limit theorem for ergodic quantum processes, Asymptotic entropy of the ranges of random walks on discrete groups, Covering monotonicity of the limit shapes of first passage percolation on crystal lattices, Grid entropy in last passage percolation -- a superadditive critical exponent approach, Generalized traveling waves in disordered media: existence, uniqueness, and stability, Properties of the parabolic Anderson model and the Anderson polymer model, Non-metricity in the continuum limit of randomly-distributed point defects, Asymptotic shape for the contact process in random environment, Existence of random gradient states, Unnamed Item, On a one-dimensional model of infection spreading, Crabgrass, measles and gypsy moths: An introduction to modern probability, Estimates for the spreading velocity of an epidemic model., Scaling of a random walk on a supercritical contact process, Large Deviations for the Graph Distance in Supercritical Continuum Percolation, Nonconvex homogenization for one-dimensional controlled random walks in random potential, Last passage percolation on the complete graph, Coexistence in a two-type continuum growth model, Consistency of Bayes estimators of a binary regression function, The central limit theorem for supercritical oriented percolation in two dimensions, Competing frogs on \({\mathbb Z}^d\), A general autoregressive model with Markov switching: estimation and consistency, A shape theorem for the Orthant model, Convergence of Eulerian triangulations, Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes, Asymptotic shape in a continuum growth model, Tightness for a family of recursion equations, On large deviation regimes for random media models, Traveling waves in a one-dimensional heterogeneous medium, Unions of random walk and percolation on infinite graphs, Directed polymers in a random environment: Some results on fluctuations, Tightness for the minimal displacement of branching random walk, Scaling limits of tree-valued branching random walks, Random growth models: Shape and convergence rate, Lyapunov exponent for the parabolic Anderson model with Lévy noise, Subadditive ergodic theorems for random sets in infinite dimensions, Unnamed Item