N. Kalinin

activity

20132026

most citedSelf-Organized Criticality and Pattern Emergence through the lens of Tropical Geometry

24 citations · 93 across the 20 of their papers we have counts for

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Showing 2026Show all

4 papers · 1 filter

math.AG2026

Affine Spherical Mass and a Gaussian Kinematic Formula for Tropical Two-Fans

Nikita Kalinin

Let $F$ be an effective balanced rational two-dimensional fan in a rank-four lattice. We introduce an affine spherical mass \[ M_*(F)=\inf_{covol_g(N)=1}M_g(F) \] and prove the two…

math.CO2026

The 2-Adic Valuation of the Order of the All-Ones Class in the Sandpile Group of a Square

Turgay Akyar, Artem Beliakov, Konstantin Delchev +6

Place one grain at every nonsink vertex of the wired $n \times n$ square, and let $L (n)$ be the order of this operation in the sandpile group. Thus $L (n)$ is the least positive $q$ …

math.AP2026

Many-point tropical relaxation and the Monge--Ampère equation

Nikita Kalinin, Ernesto Lupercio, Higinio Serrano +1

In this paper we prove that a process we call tropical relaxation gives a convergent method for numerically approximating the Monge--Ampère Dirichlet problem on bounded convex plan…

math.NT2026

The divisor function for matrices

Tim Browning, Nikita P. Kalinin, Alina Ostafe +2

We introduce a matrix divisor function $τ_{n} (T, M)$ , counting factorisations $A B = M$ for $n \times n$ integer matrices $A, B$ of height at most $T$ . For a fixed non-singular $M$ , or for…