# Welcome to

Basic Theoretical Research in the Mathematical & Natural Sciences

# THE REUVENI GROUP

## Stochastic Resetting: Theory and Applications

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## special issue of the Journal of Physics A: In Celebration of

## the 10th Anniversary of 'Diffusion with Stochastic Resetting'

January 27, 2022

#### New Paper: The Inspection Paradox in Stochastic Resetting

Passengers arriving at a bus stop at a random time may on average wait longer than the mean time between bus arrivals—a counter-intuitive result, since one expects to wait less when coming some time after the previous bus departed. We review the origins of this phenomenon, a.k.a. the inspection paradox, and use the insight gained to explain why, and under which conditions, stochastic resetting expedites the completion of random processes: from search to chemical reactions.

November 22, 2021

#### New Paper: Gated Reactions in Discrete Time and Space

A unified, continuous-time, approach to gated reactions on networks was presented in Phys. Rev. Lett. 127, 018301, (2021). We build on this recent advancement to present an analogous discrete-time version of the theory. We show that the discretization of time gives rise to resonances and anti-resonances, which were absent from the continuous-time picture. These features are illustrated using two case studies that are also used to demonstrate how the developed approach greatly simplifies the analysis of gated reactions.

August 10, 2021

#### New Paper: Mean-performance of Sharp Restart II: Inequality Roadmap

Inequality indices are widely applied in economics and in the social sciences to measure income and wealth disparities. We borrow this methodology to quantify the statistical heterogeneity in the random completion time of a stochastic process, and show how this information can then be utilized to predict the effect of sharp restart.