662 citations · 2.6k across the 31 of their papers we have counts for
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A Gaussian-Remainder Hierarchy for Sums of Random Variables with Big-Jump Statistics
Stanislav Burov
We develop an exact Gaussian-remainder hierarchy for the probability density of the sum of independent, identically distributed random variables with broad, finite-variance dis…
From Continuous-Time Random Walks to Laplace Tails
Omer Hamdi, Stanislav Burov, Eli Barkai
During Brownian motion, the displacement is normally distributed, a classical fact aligned with the central limit theorem. However, single particle tracking in complex media such a…
Conditional Ergodicity and Universal Fluctuations in Weak Ergodicity Breaking
Dan Shafir, Stanislav Burov
Time averages extracted from single-particle trajectories in complex media often vary strongly from one trajectory to another, even for long measurement times. Such persistent traj…
Laplace's first law of errors applied to diffusive motion
Omer Hamdi, Stanislav Burov, Eli Barkai
In biological, glassy, and active systems, various tracers exhibit Laplace-like, i.e., exponential, spreading of the diffusing packet of particles. The limitations of the central l…
Emergence of Directed Motion in a Crowded Suspension of Overdamped Particles
Deborah Schwarcz, Stanislav Burov
In this work, we focus on the behavior of a single passive Brownian particle in a suspension of passive particles with short-range repulsive interactions and a larger self-diffusio…
Universal to Non-Universal Transition of the statistics of Rare Events During the Spread of Random Walks
R. K. Singh, Stanislav Burov
Particle hopping is a common feature in heterogeneous media. We explore such motion by using the widely applicable formalism of the continuous time random walk and focus on the sta…