September 4, 2024Open Access

Central limit theorems for the monkey walk with steep memory kernel

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Position asymptotics follow central limit theorems for the monkey walk when relocations favor recent past locations, establishing diffusive behavior at large times.
Theoretical analysis of the stochastic process models memory decay through a steep memory kernel, where relocations to recent steps generate a reinforcement effect.
Confirmatory mathematical proofs generalize earlier estimates from physics literature for the monkey walk, resolving long-time diffusion under rapid memory decay.

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Theoretical study demonstrates central limit theorems for the monkey walk with steep memory kernels, confirming and generalizing long-time position estimates from physics.

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Boci et al. (2024) studied this question.

synapsesocial.com/papers/68e5968ab6db643587530fdc https://doi.org/10.48550/arxiv.2409.02861

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Implication

Theoretical study demonstrates central limit theorems for the monkey walk with steep memory kernels, confirming and generalizing long-time position estimates from physics.

Central limit theorems for the monkey walk with steep memory kernel

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Implication

Cite This Study

Central limit theorems for the monkey walk with steep memory kernel

Key Points

Discussion

Implication

Cite This Study

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