Monotonicity for excited random walk in high dimensions
From MaRDI portal
Publication:2380771
DOI10.1007/s00440-009-0215-9zbMath1193.60123arXiv0803.1881OpenAlexW2143790417MaRDI QIDQ2380771
Remco van der Hofstad, Mark P. Holmes
Publication date: 12 April 2010
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.1881
Related Items (12)
Speed of excited random walks with long backward steps ⋮ A monotonicity property for random walk in a partially random environment ⋮ Excited against the tide: a random walk with competing drifts ⋮ An expansion for self-interacting random walks ⋮ A combinatorial result with applications to self-interacting random walks ⋮ A Monotonicity Property for Once Reinforced Biased Random Walk on $$\mathbb {Z}^d$$ ⋮ On the speed of once-reinforced biased random walk on trees ⋮ On range and local time of many-dimensional submartingales ⋮ 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 ⋮ On recurrence and transience of self-interacting random walks ⋮ The branching-ruin number as critical parameter of random processes on trees
Cites Work
- Excited against the tide: a random walk with competing drifts
- An expansion for self-interacting random walks
- On the speed of a cookie random walk
- Rate of growth of a transient cookie random walk
- Brownian motion and random walk perturbed at extrema
- A law of large numbers for random walks in random environment
- Excited random walk
- Cut points and diffusive random walks in random environment
- 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
This page was built for publication: Monotonicity for excited random walk in high dimensions
