3 papers
math.AP2024
Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions
Giovanni Bellettini, Shokhrukh Kholmatov, Firdavsjon Almuratov
We study the crystalline curvature flow of planar networks with a single hexagonal anisotropy. After proving the local existence of a classical solution for a rather large class of…
math.SP2022
On the spectrum of Schrödinger-type operators on two dimensional lattices
Shokhrukh Yu. Kholmatov, Saidakhmat N. Lakaev, Firdavsjon M. Almuratov
We consider a family of Schrödinger-type operators on the two dimensional lattice where $\wideha…
math-ph2020
Bound states of discrete Schrödinger operators on one and two dimensional lattices
Shokhrukh Kholmatov, Saidakhmat Lakaev, Firdavs Almuratov
We study the spectral properties of discrete Schrödinger operator associated to a one-particle system in -dimensiona…