12 citations · 26 across the 8 of their papers we have counts for
5 papers · 1 filter
Three faces of random walks in a hyperbolic domain: BKT, Lifshitz tails, and KPZ
Daniil Fedotov, Sergei Nechaev
We show that continuous random walks (diffusion) in the Poincaré upper half-plane provide a unified description of three seemingly unrelated phenome…
Non-algebraic first return probability of a stretched random walk near a convex boundary and its effect on adsorption
Daniil Fedotov, Sergei Nechaev
The -step random walk, elongated in the vicinity of a disc (in 2D) or a sphere (in 3D) of radius , demonstrates a non-algebraic stretched exponential decay $P_N\sim \exp\left…
KPZ-like scaling on a high-dimensional hypersphere
Daniil Fedotov, Sergei Nechaev
We consider the orientational diffusion controlled by the hyperspherical Laplacian, , on the surface of the --dimensional hypersphere in the limit . We…
Finite plateau in spectral gap of polychromatic constrained random networks
V. Avetisov, A. Gorsky, S. Nechaev +1
We consider the canonical ensemble of multilayered constrained Erdos-Renyi networks (CERN) and regular random graphs (RRG), where each layer represents graph vertices painted in a…
On the distribution of surface extrema in several one- and two-dimensional random landscapes
F. Hivert, S. Nechaev, G. Oshanin +1
We study here a standard next-nearest-neighbor (NNN) model of ballistic growth on one- and two-dimensional substrates focusing our analysis on the probability distribution function…