3 papers
cond-mat.stat-mech2026
Three faces of random walks in hyperbolic domain: BKT, Lifshitz tails, and KPZ
Daniil Fedotov, Sergei Nechaev
We show that continuous random walks (diffusion) in the Poincaré hyperbolic upper halfplane provide a unifying description of three seemingly unrela…
cond-mat.stat-mech2026
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…
cond-mat.stat-mech2024
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…