A. Muranova

collaborators

4 papers

math.SP2026

$m$ -sectorial discrete Laplacians and recurrence of complex-weighted graphs

Anna Muranova

We consider complex-weighted graphs, whose edge weights belong to a sector in the complex plane. We show that the corresponding Dirichlet Laplacian is $m$ -sectorial, and, hence, ge…

math.SP2026

Periodic discrete graphs with prescribed spectrum

Andrii Khrabustovskyi, Anna Muranova

We construct a periodic weighted graph whose discrete Laplacian has a spectrum with precisely $n$ gaps. Moreover, we show that by an appropriate choice of the weights, the endpoint…

math.AT2026

Burnings of trees and their homologies

Yuri Muranov, Anna Muranova

The problem of graph burning was firstly introduced as a model for different processes of social and network interactions. Recently, the authors of the present paper developed meth…

math.PR2025

On the moments of the volume for random convex chains

Anna Gusakova, Anna Muranova

Let $T$ be the triangle in the plane with vertices $(0, 0)$ , $(0, 1)$ and $(0, 1)$ . The convex hull $T_{n}$ of points $(0, 1)$ , $(1, 0)$ and $n$ independent random points uniformly di…

m-sectorial discrete Laplacians and recurrence of complex-weighted graphs

Periodic discrete graphs with prescribed spectrum

Burnings of trees and their homologies

On the moments of the volume for random convex chains

$m$ -sectorial discrete Laplacians and recurrence of complex-weighted graphs