Joint invariance principles for random walks with positively and negatively reinforced steps
DOI10.1007/S10955-022-02993-5zbMath1504.60072arXiv2109.11298OpenAlexW3200150013MaRDI QIDQ2082597
Alejandro Rosales-Ortiz, Marco Bertenghi
Publication date: 4 October 2022
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.11298
invariance principlereinforcementelephant random walkcounterbalanced random walknoise reinforced random walk
Processes with independent increments; Lévy processes (60G51) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
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Cites Work
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- Proofs of the martingale FCLT
- The shark random swim. (Lévy flight with memory)
- Gaussian approximation theorems for urn models and their applications
- Universality of noise reinforced Brownian motions
- On the center of mass of the elephant random walk
- Noise reinforcement for Lévy processes
- Gaussian fluctuation for superdiffusive elephant random walks
- On the multi-dimensional elephant random walk
- Functional limit theorems for multitype branching processes and generalized Pólya urns.
- Multidimensional walks with random tendency
- On a class of random walks with reinforced memory
- Scaling exponents of step-reinforced random walks
- A strong invariance principle for the elephant random walk
- Non-Markovian random walks with memory lapses
- Optimal assignment of sellers in a store with a random number of clientsviathe Armed Bandit model
- A martingale approach for the elephant random walk
- Functional limit theorems for the multi-dimensional elephant random walk
- Central limit theorem and related results for the elephant random walk
- Asymptotic analysis of the elephant random walk
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