4 papers
Boundary-Induced Drift and Negative Mobility in Constrained Stochastic Systems
Meitar Goldfarb, Stanislav Burov
We study overdamped stochastic dynamics confined by hard reflecting boundaries and show that the combination of boundary geometry and an anisotropic diffusion tensor generically ge…
Synergy of Doob Transformation and Montroll Defect Theory for Random Walks in External Potentials
Stanislav Burov
We present a systematic method for constructing stochastic processes by modifying simpler, analytically solvable random walks on discrete lattices. Our framework integrates the Doo…
The Emergence of Laplace Universality in Correlated Processes
R. K. Singh, Stanislav Burov
In transport processes across materials like glasses, living cells, and porous media, the probability density function of displacements exhibits exponential decay rather than Gauss…
Statistics of a Large Number of Renewals in Equilibrium and Non-Equilibrium Renewal Processes
Wanli Wang, Stanislav Burov
The renewal process is a key statistical model for describing a wide range of stochastic systems in Physics. This work investigates the behavior of the probability distribution of…