Competition between slow and fast regimes for extreme first passage times of diffusion
Many physical, chemical, and biological systems depend on the first passage time (FPT) of a
diffusive searcher to a target. Typically, this FPT is much slower than the characteristic …
diffusive searcher to a target. Typically, this FPT is much slower than the characteristic …
Controlling Uncertainty of Empirical First-Passage Times in the Small-Sample Regime
R Bebon, A Godec - Physical Review Letters, 2023 - APS
We derive general bounds on the probability that the empirical first-passage time τ¯ n≡∑ i=
1 n τ i/n of a reversible ergodic Markov process inferred from a sample of n independent …
1 n τ i/n of a reversible ergodic Markov process inferred from a sample of n independent …
Concentration of Empirical First-Passage Times
R Bebon, A Godec - Target Search Problems, 2024 - Springer
First-passage properties are central to the kinetics of target-search processes. Theoretical
approaches so far primarily focused on predicting first-passage statistics for a given process …
approaches so far primarily focused on predicting first-passage statistics for a given process …