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Dahlenburg M, Chechkin AV, Schumer R, et al. Stochastic resetting by a random amplitude. Phys Rev E. 2021;103(5):052123doi: 10.1103/PhysRevE.103.052123.
Dahlenburg, M., Chechkin, A. V., Schumer, R., & Metzler, R. (2021). Stochastic resetting by a random amplitude. Physical review. E, 103(5), 052123. https://doi.org/10.1103/PhysRevE.103.052123
Dahlenburg, Marcus, et al. "Stochastic resetting by a random amplitude." Physical review. E vol. 103,5 (2021): 052123. doi: https://doi.org/10.1103/PhysRevE.103.052123
Dahlenburg M, Chechkin AV, Schumer R, Metzler R. Stochastic resetting by a random amplitude. Phys Rev E. 2021 May;103(5):052123. doi: 10.1103/PhysRevE.103.052123. PMID: 34134286.
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Phys Rev E. 2021 May;103(5):052123. doi: 10.1103/PhysRevE.103.052123.

Stochastic resetting by a random amplitude.

Physical review. E

Marcus Dahlenburg, Aleksei V Chechkin, Rina Schumer, Ralf Metzler

Affiliations

  1. Institute for Physics & Astronomy, University of Potsdam, 14476 Potsdam, Germany.
  2. Basque Center for Applied Mathematics, 48009 Bilbao, Basque Country, Spain.
  3. Akhiezer Institute for Theoretical Physics, 61108 Kharkov, Ukraine.
  4. Desert Research Institute, Reno, Nevada 89512, USA.

PMID: 34134286 DOI: 10.1103/PhysRevE.103.052123

Abstract

Stochastic resetting, a diffusive process whose amplitude is reset to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. Here we generalize the resetting step by introducing a random resetting amplitude such that the diffusing particle may be only partially reset towards the trajectory origin or even overshoot the origin in a resetting step. We introduce different scenarios for the random-amplitude stochastic resetting process and discuss the resulting dynamics. Direct applications are geophysical layering (stratigraphy) and population dynamics or financial markets, as well as generic search processes.

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