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Basic Theoretical Research in the Mathematical & Natural Sciences 



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.   




May 3, 2021

New Paper: Resetting transition is governed by an interplay between thermal and potential energy

A dynamical process that takes a random time to complete, e.g., a chemical reaction, may either be accelerated or hindered due to resetting. Tuning system parameters, such as temperature, viscosity, or concentration, can invert the effect of resetting on the mean completion time of the process, which leads to a resetting transition. We show that this transition is governed by a simple interplay between the thermal and potential energy.

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August 6, 2021

New Paper: Thermodynamic uncertainty relation for first-passage times on Markov chains

We derive a thermodynamic uncertainty relation that poses a lower bound on first-passage time fluctuations on Markov chains.


March 23, 2021

New Paper: Thermodynamic uncertainty relation for systems with unidirectional transitions

We derive a thermodynamic uncertainty relation for stochastic processes with unidirectional transitions and apply it to a random walk with stochastic resetting, and to the Michaelis-Menten model of enzymatic catalysis.

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June 29, 2021

New Paper: Unified approach to gated reactions on networks

For two molecules to react they must first meet. This condition is, however, insufficient since stochastic transitions between reactive and non-reactive states result in a fluctuating molecular “gate” that can prevent reactions from occurring despite spatial proximity of the reactants involved. To better understand this phenomenon, we develop a general approach to gated reactions on networks. Results coming from our analysis are exemplified on a diverse set of case studies revealing exotic kinetics that arise due to molecular gating.


March 5, 2021

New Paper: Diffusion with local resetting and exclusion

We introduce the notion of local stochastic resetting in interacting many-body systems and study its effect on the symmetric simple exclusion process in one dimension.