Nina Zubrilina

activity

20162022

most citedOn the edge metric dimension for the random graph

3 citations · 6 across the 4 of their papers we have counts for

collaborators

7 papers

math.NT2022★ 1 cited

Convergence to the Plancherel measure of Hecke Eigenvalues

Peter Sarnak, Nina Zubrilina

We give improved uniform estimates for the rate of convergence to Plancherel measure of Hecke eigenvalues of holomorphic forms of weight 2 and level N. These are applied to determi…

math.NT2019

Zeros of Optimal Functions in the Cohn-Elkies Linear Program

Nina Zubrilina

In a recent breakthrough, Viazovska and Cohn, Kumar, Miller, Radchenko, Viazovska solved the sphere packing problem in $R^{8}$ and $R^{24}$ , respectively, by exhibi…

math.CO2018

Left-Right Pairs and Complex Forests of Infinite Rooted Binary Trees

Nina Zubrilina

Let $D_{0} := {x + i y ∣ x, y > 0}$ , and let $(L, R)$ be a pair of Möbius transformations corresponding to $SL_{2} (N_{0})$ matrices such that $R(\mathcal…

math.PR2018

On the Expected Value of the Maximal Bet in the Labouchere System

Nina Zubrilina

Consider a game consisting of independent turns with even money payoffs in which the player wins with a fixed probability $p \geq 1/3$ and loses with probability $1 - p$ . The Labou…

math.NT2017★ 2 cited

On the Number of Connected Components of Ranges of Divisor Functions

Nina Zubrilina

For $r \in R, r > 1$ and $n \in Z^{+}$ , the divisor function $σ_{- r}$ is defined by $σ_{- r} (n) := \sum_{d ∣ n} d^{- r}$ . In this paper we show the number $C_{r}$ of…

math.CO2016★ 3 cited

On the edge metric dimension for the random graph

Nina Zubrilina

Let $G (V, E)$ be a connected simple undirected graph. In this paper we prove that the edge metric dimension (introduced by Kelenc, Tratnik and Yero) of the Erdős-Rényi random graph…