Excited against the tide: a random walk with competing drifts

DOI10.1214/11-AIHP434zbMath1255.60179arXiv0901.4393MaRDI QIDQ441245

Mark P. Holmes

Publication date: 20 August 2012

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4393

zbMATH Keywords

monotonicitylace expansioncookie environmentself-interacting random walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37)

Related Items (8)

Monotonicity for excited random walk in high dimensions ⋮ The infinite differentiability of the speed for excited random walks ⋮ Perturbing transient random walk in a random environment with cookies of maximal strength ⋮ A monotonicity property for random walk in a partially random environment ⋮ A Monotonicity Property for Once Reinforced Biased Random Walk on $$\mathbb {Z}^d$$ ⋮ On the speed of once-reinforced biased random walk on trees ⋮ Some results on regularity and monotonicity of the speed for excited random walks in low dimensions ⋮ A balanced excited random walk

Uses Software

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Cites Work

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• Excited random walk
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• Monotonicity for excited random walk in high dimensions
• Central limit theorem for the excited random walk in dimension \(d\geq 2\)
• Multi-excited random walks on integers
• THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS
• The excited random walk in one dimension

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