2022Journal of Engineering and Applied Sciences TechnologyOpen access

Almost Sure Limit Points for Continuous Time Random Walks

Gooty Divanji

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Abstract

Here we obtain almost sure limit points for a properly normalized partial sum continuous time random walk, where a continuous time random walk means a random walk subordinated to a renewal process. Continuous time random walks are used in physics to model anomalous diffusion.

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Here we obtain almost sure limit points for a properly normalized partial sum continuous time random walk, where a continuous time random walk means a random walk subordinated to a renewal process. Continuous time random walks are used in physics to model anomalous diffusion.

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Available abstract

Here we obtain almost sure limit points for a properly normalized partial sum continuous time random walk, where a continuous time random walk means a random walk subordinated to a renewal process. Continuous time random walks are used in physics to model anomalous diffusion.

Key concepts: Random walk, Continuous-time random walk, Heterogeneous random walk in one dimension, Limit (mathematics), Loop-erased random walk, Mathematics, Statistical physics, Anomalous diffusion

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