activity
20232026
most citedGM-rule and its applications to impartial games

3 citations · 4 across the 10 of their papers we have counts for

collaborators

11 papers

stat.ME2026

Subgroup Inconsistency and the Dilution Effect in Levene's Test for Homoscedasticity

Vladimir Gurvich, Mariya Naumova

Levene's test for homoscedasticity is a standard procedure used to evaluate whether multiple groups of independent observations share a common variance. Because Levene's test relie…

math.CO2026

Bridge distances for networks

Vladimir Gurvich, Mariya Naumova

Let be a finite directed graph with a non-negative real length assigned to every directed edge . We assume that for every non-edge $e \no…

math.NT2025

On pairs of triangular numbers whose product is a perfect square and pairs of intervals of successive integers with equal sums of squares

Vladimir Gurvich, Mariya Naumova

In 1778 Leonhard Euler characterized triangular numbers that are perfect squares. Obviously, the product of any two such numbers is a perfect square too. Yet, there are many other…

math.CO2025

Partitioning set into subsets of size at most such that all sums are powers of

Vladimir Gurvich, Mariya Naumova

Given integers and , we say that a partition of the set is {\em -good} if the number of elements in each part is at most and their sum…

stat.ME2025

Critical issues with the Pearson's chi-square test

Vladimir Gurvich, Mariya Naumova

Pearson's chi-square tests are among the most commonly applied statistical tools across a wide range of scientific disciplines, including medicine, engineering, biology, sociology,…

math.CO2024

A counterexample to conjecture "Catch 22"

Bogdan Butyrin, Vladimir Gurvich, Anton Lutsenko +2

We construct a finite deterministic graphical (DG) game without Nash equilibria in pure stationary strategies. This game has 3 players and 5 outcomes: 2 terminal $a_1…

math.CO2024

Growing Trees and Amoebas' Replications

Vladimir Gurvich, Matjaž Krnc, Mikhail Vyalyi

An amoeba is a tree together with instructions how to iteratively grow trees by adding paths of a fixed length . This paper analyses such a growth process. An amoeba is morta…

math.CO2023

Screw discrete dynamical systems and their applications to exact slow NIM

Vladimir Gurvich, Mariya Naumova

Given integers such that and an integer vector ; denote by the number of entries of that are multiple of .…

math.CO2023★ 1 cited

Experimental Study of the Game Exact Nim(5, 2)

Vladimir Gurvich, Artem Parfenov, Michael Vyalyi

We compare to different extensions of the ancient game of nim: Moore's nim and exact nim. Given integers and such that , we consider $n…

math.CO2023

On remoteness functions of k-NIM with k+1 piles in normal and in misère versions

Vladimir Gurvich, Vladislav Maximchuk, Georgy Miheenkov +1

Given integer and such that and piles of stones, two players alternate turns. By one move it is allowed to choose any piles and remove exactly one st…

math.CO2023★ 3 cited

GM-rule and its applications to impartial games

Vladimir Gurvich, Mariya Naumova

Given integer , and vector that has an entry which is a multiple of and such that , the GM-rule is…