On the speed of a cookie random walk

DOI10.1007/s00440-007-0096-8zbMath1141.60383arXivmath/0611580OpenAlexW2066769215MaRDI QIDQ929380

Arvind Singh, Anne-Laure Basdevant

Publication date: 17 June 2008

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611580

zbMATH Keywords

Branching process with migrationCookie or multi-excited random walkLaw of large numbers

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (23)

Scaling limit of the subdiffusive random walk on a Galton-Watson tree in random environment ⋮ Upper and lower bounds on the speed of a one-dimensional excited random walk ⋮ Monotonicity for excited random walk in high dimensions ⋮ The infinite differentiability of the speed for excited random walks ⋮ Recurrence and Transience of Critical Branching Processes in Random Environment with Immigration and an Application to Excited Random Walks ⋮ Perturbing transient random walk in a random environment with cookies of maximal strength ⋮ Scaling limit of the recurrent biased random walk on a Galton-Watson tree ⋮ Speed of excited random walks with long backward steps ⋮ Excited Brownian motions as limits of excited random walks ⋮ Excited random walks with non-nearest neighbor steps ⋮ Excited mob ⋮ Transience/recurrence and the speed of a one-dimensional random walk in a ``have your cookie and eat it environment ⋮ Excited against the tide: a random walk with competing drifts ⋮ Snakes and perturbed random walks ⋮ An expansion for self-interacting random walks ⋮ Long time scaling behaviour for diffusion with resetting and memory ⋮ Long range one-cookie random walk with positive speed ⋮ Excited random walk in a Markovian environment ⋮ Infinite excursions of router walks on regular trees ⋮ Some results on regularity and monotonicity of the speed for excited random walks in low dimensions ⋮ Limit laws of transient excited random walks on integers ⋮ Extreme slowdowns for one-dimensional excited random walks ⋮ Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema

Cites Work

• Rate of growth of a transient cookie random walk
• Brownian motion and random walk perturbed at extrema
• Excited random walk
• Branching processes. II
• Recurrence and transience of excited random walks on \(\mathbb Z^d\) and strips
• Multi-excited random walks on integers
• Markov Chains
• The excited random walk in one dimension
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the speed of a cookie random walk