327 citations · 335 across the 6 of their papers we have counts for
12 papers
Phase growth with heat diffusion in a stochastic lattice model
Mao Hiraizumi, Hiroki Ohta, Shin-ichi Sasa
When a stable phase is adjacent to a metastable phase with a planar interface, the stable phase grows. We propose a stochastic lattice model describing the phase growth accompanyin…
Spatiotemporal expressions reflecting topological classes of repressor networks
Hiroki Ohta, Mogens H. Jensen
A family of repressor networks is proposed as a simple model of gene regulatory networks. We analytically show three topological classes of the repressor networks, each of which ex…
Deterministic extinction by mixing in cyclically competing species
Cilie W. Feldager, Namiko Mitarai, Hiroki Ohta
We consider a cyclically competing species model on a ring with global mixing at finite rate, which corresponds to the well-known Lotka-Volterra equation in the limit of infinite m…
Fixation in cyclically competing species on a directed graph with quenched disorder
Hiroki Ohta, Namiko Mitarai
A simple model of cyclically competing species on a directed graph with quenched disorder is proposed as an extension of the rock-paper-scissors model. By assuming that the effects…
Morphology transition at depinning in a solvable model of interface growth in a random medium
Hiroki Ohta, Martin-Luc Rosinberg, Gilles Tarjus
We propose a simple, exactly solvable, model of interface growth in a random medium that is a variant of the zero-temperature random-field Ising model on the Cayley tree. This mode…
Inferring the origin of an epidemic with a dynamic message-passing algorithm
Andrey Y. Lokhov, Marc Mézard, Hiroki Ohta +1
We study the problem of estimating the origin of an epidemic outbreak -- given a contact network and a snapshot of epidemic spread at a certain time, determine the infection source…