A first passage under resetting approach to income dynamics

P Jolakoski, A Pal, T Sandev, L Kocarev… - Chaos, Solitons & …, 2023 - Elsevier
Detailed knowledge of individual income dynamics is one essential ingredient for
investigating the existence of the American dream, pertinent to the question Are we able to …

Record ages of non-Markovian scale-invariant random walks

L Régnier, M Dolgushev, O Bénichou - Nature Communications, 2023 - nature.com
How long is needed for an observable to exceed its previous highest value and establish a
new record? This time, known as the age of a record plays a crucial role in quantifying …

Random resetting in search problems

A Pal, V Stojkoski, T Sandev - Target Search Problems, 2024 - Springer
By repeatedly returning a search process to a known or random state, random resetting
possesses the potential to unveil new trajectories, sidestep potential obstacles, and …

Search with stochastic home returns can expedite classical first passage under resetting

A Biswas, A Kundu, A Pal - Physical Review E, 2024 - APS
Classical first passage under resetting is a paradigm in the search process. Despite its
multitude of applications across interdisciplinary sciences, experimental realizations of such …

Rate enhancement of gated drift-diffusion process by optimal resetting

A Biswas, A Pal, D Mondal, S Ray - The Journal of Chemical Physics, 2023 - pubs.aip.org
ABSTRACT “Gating” is a widely observed phenomenon in biochemistry that describes the
transition between the activated (or open) and deactivated (or closed) states of an ion …

Extremal statistics for a resetting Brownian motion before its first-passage time

W Guo, H Yan, H Chen - Physical Review E, 2023 - APS
We study the extreme value statistics of a one-dimensional resetting Brownian motion (RBM)
till its first passage through the origin starting from the position x 0 (> 0). By deriving the exit …

Full-record statistics of one-dimensional random walks

L Régnier, M Dolgushev, O Bénichou - Physical Review E, 2024 - APS
We develop a comprehensive framework for analyzing full-record statistics, covering record
counts M (t 1), M (t 2),..., their corresponding attainment times TM (t 1), TM (t 2),..., and the …

Queues with resetting: a perspective

R Roy, A Biswas, A Pal - Journal of Physics: Complexity, 2024 - iopscience.iop.org
Performance modeling is a key issue in queuing theory and operation research. It is well-
known that the length of a queue that awaits service or the time spent by a job in a queue …

Replicating a renewal process at random times

C Godrèche, JM Luck - Journal of Statistical Physics, 2023 - Springer
We replicate a renewal process at random times, which is equivalent to nesting two renewal
processes, or considering a renewal process subject to stochastic resetting. We investigate …

First-passage functionals for Ornstein–Uhlenbeck process with stochastic resetting

A Dubey, A Pal - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
We study the statistical properties of first-passage Brownian functionals (FPBFs) of an
Ornstein–Uhlenbeck process in the presence of stochastic resetting. We consider a one …