12 citations · 26 across the 8 of their papers we have counts for
9 papers
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…
Collective communication in a transparent world: Phase transitions in a many-body Potts model and a social--quantum correspondence
Pawat Akara-pipattana, Sergei Nechaev, Bogdan Slavov
Digitally connected societies approach a ``transparent'' regime where all agents can interact without geographic or social barriers --- a limit realized by complete graph topologie…
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…
Math behind everyday life: "black days", their manifestation as traffic jams, and beyond
Daniil Fedotov, Sergei Nechaev
In our daily lives, we encounter numerous independent events, each occurring with varying probabilities over time. This letter delves into the scientific background behind the inho…
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…