The shark random swim. (Lévy flight with memory)
From MaRDI portal
Publication:1785677
DOI10.1007/S10955-018-2062-5zbMath1400.82097arXiv1710.05671OpenAlexW2804702206WikidataQ129813640 ScholiaQ129813640MaRDI QIDQ1785677
Publication date: 1 October 2018
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.05671
Trees (05C05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)
Related Items (22)
Multidimensional walks with random tendency ⋮ On a class of random walks with reinforced memory ⋮ Scaling exponents of step-reinforced random walks ⋮ On the elephant random walk with stops playing hide and seek with the Mittag-Leffler distribution ⋮ Analysis of the smoothly amnesia-reinforced multidimensional elephant random walk ⋮ Broadcasting‐induced colorings of preferential attachment trees ⋮ The enhanced strong invariance principle for the elephant random walk ⋮ Limit theorems for the `laziest' minimal random walk model of elephant type ⋮ How linear reinforcement affects Donsker's theorem for empirical processes ⋮ Random walks with preferential relocations and fading memory: a study through random recursive trees ⋮ Noise reinforcement for Lévy processes ⋮ Universality of noise reinforced Brownian motions ⋮ Reinforced random walks under memory lapses ⋮ On the center of mass of the elephant random walk ⋮ Gaussian fluctuation for superdiffusive elephant random walks ⋮ The diffusion of opposite opinions in a randomly biased environment ⋮ Correction to: ``How linear reinforcement affects Donsker's theorem for empirical processes ⋮ New insights on the reinforced elephant random walk using a martingale approach ⋮ On the multi-dimensional elephant random walk ⋮ Moments of the superdiffusive elephant random walk with general step distribution ⋮ Joint invariance principles for random walks with positively and negatively reinforced steps ⋮ Introducing smooth amnesia to the memory of the elephant random walk
Cites Work
- Limit theorems for triangular urn schemes
- The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes
- An approximate formula for a partial sum of the divergent \(p\)-series
- On the multi-dimensional elephant random walk
- Polya Urn Models
- A martingale approach for the elephant random walk
- The Mittag-Leffler process and a scaling limit for the block counting process of the Bolthausen-Sznitman coalescent
- Central limit theorem and related results for the elephant random walk
This page was built for publication: The shark random swim. (Lévy flight with memory)