33 citations · 100 across the 11 of their papers we have counts for
15 papers
Spin excitations in the magnetically ordered phases of MnScS
B. Tóth, K. Amelin, T. Rõõm +5
Recent neutron scattering experiments suggested that frustrated magnetic interactions give rise to antiferromagnetic spiral and fractional skyrmion lattice phases in MnScS.…
Invariance Principle for the Random Wind-Tree Process
Christopher Lutsko, Bálint Tóth
Consider a point particle moving through a Poisson distributed array of cubes all oriented along the axes - the random wind-tree model introduced in Ehrenfest-Ehrenfest (1912). We…
Split-and-Merge in Stationary Random Stirring on Lattice Torus
Dmitry Ioffe, Bálint Tóth
We show that in any dimension , the cycle-length process of stationary random stirring (or, random interchange) on the lattice torus converges to the canonical Markovian spl…
Diffusive and Super-Diffusive Limits for Random Walks and Diffusions with Long Memory
Bálint Tóth
We survey recent results of normal and anomalous diffusion of two types of random motions with long memory in or . The first class consists of random walks…
Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit
Christopher Lutsko, Bálint Tóth
We prove the invariance principle for a \emph{random Lorentz-gas} particle in 3 dimensions under the Boltzmann-Grad limit and simultaneous diffusive scaling. That is, for the traje…
Random walk on the randomly-oriented Manhattan lattice
Sean Ledger, Bálint Tóth, Benedek Valkó
In the randomly-oriented Manhattan lattice, every line in is assigned a uniform random direction. We consider the directed graph whose vertex set is a…