From the 1 of 14 linked papers with an AI index.
14 papers
Speed fluctuations of a stochastic Huxley-Zel'dovich front
Evgeniy Khain, Baruch Meerson, Pavel V. Sasorov
The paper investigates how random reaction and diffusion events cause the speed of a travelling Huxley‑Zel'dovich reaction‑diffusion front to fluctuate, using theory and Monte‑Carl…
Slow heat-driven flow in a gas of hard disks
Amit Kumar, Abhishek Dhar, Baruch Meerson
We study a slow heat-driven flow in a gas of elastically colliding hard disks confined to a long channel. The initial state consists of two regions with large temperature and densi…
Lattice Brownian bees with cooperative reproduction: steady states, collapse, and spreading
Ohad Vilk, Baruch Meerson
We extend the ``Brownian bees'' model of Berestycki et al. (2021, 2022) to cooperative reproduction, , of a population of symmetric random walkers with removal,…
Emergent population dynamics of random walkers with cooperative reproduction and spatial selection
Ohad Vilk, Baruch Meerson
We extend the branching Brownian motions model of population invasion to higher-order asexual reproduction. Increasing reproduction order leads to qualitative changes: invasion…
Fractional Brownian Motion with Negative Hurst Exponent
Baruch Meerson, Pavel V. Sasorov
Fractional Brownian motion (fBm) is an important scale-invariant Gaussian non-Markovian process with stationary increments, which serves as a prototypical example of a system with…
Short-time statistics of extinction and blowup in reaction kinetics
Rotem Degany, Michael Assaf, Baruch Meerson
We study the statistics of extinction and blowup times in well-mixed systems of stochastically reacting particles. We focus on the short-time tail, , of the extinction- or…