Moments of the Elephant Random Walk with Single Step Memory Lapse with poisson-distributed steps in continuous time

Authors

Miguel Antonio Fudolig ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We derive expressions for the Elephant Random Walk with Single Step Memory Lapse (ERW with SSML) in a continuous time context with Poisson distributed steps. The continuous time moments were found to be dependent on the discrete time moments for different numbers of steps, which makes it different from the random walk with full memory case by Schutz and Trimper.

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Issue

2014: Proceedings of the 32nd Samahang Pisika ng Pilipinas Physics Congress

Towards enhanced physics research and education
17-20 October 2014, University of Philippines Diliman, Quezon City

Article ID

SPP2014-PA-22

Section

Poster Session PA

Published

2014-10-17

How to Cite

[1]

MA Fudolig and JP Esguerra, Moments of the Elephant Random Walk with Single Step Memory Lapse with poisson-distributed steps in continuous time, Proceedings of the Samahang Pisika ng Pilipinas 32, SPP2014-PA-22 (2014). URL: https://proceedings.spp-online.org/article/view/1869.