Author

S. Reuveni

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Preprint Sep 2026

First Passage in the Presence of Jump Rate Fluctuations: A Transition from Infinite to Finite Mean

A simple symmetric random walk on a one-dimensional lattice is guaranteed to reach any target site, yet its mean first-passage time diverges. Here, we show that stochastic fluctuations in the jump rate can fundamentally alter this classic result. We find a phase transition in the mean first-passage time: sufficiently b...

Bara Levit, S. Reuveni · 0 citations

Preprint Sep 2026

Transcription rate dynamics and RNA copy number noise: General relations and data-driven predictions

Stochastic models of gene expression typically begin with a microscopic model of transcription and propagate its statistics to the RNA distribution. Here we develop a doubly stochastic framework in which RNA production is Poisson conditional on a time-varying transcription rate $\lambda(t)$. For RNA lifetimes drawn ind...

Amara McCune, I. Golding, S. Reuveni et al. · 0 citations