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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9 papers · 1 filter

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.CO2022★ 4 cited

Sandpile solitons in higher dimensions

Nikita Kalinin

Let $p \in Z^{n}$ be a primitive vector and $Ψ : Z^{n} \to Z, z \to min (p \cdot z, 0)$ . The theory of {\it husking} allows us to prove that there exists a pointwise m…

math.CO2021

Equilateral convex triangulations of $R P^{2}$ with three conical points of equal defect

Mikhail Chernavskikh, Altan Erdnigor, Nikita Kalinin +1

Consider triangulations of $R P^{2}$ whose all vertices have valency six except three vertices of valency $4$ . In this chapter we prove that the number $f (n)$ of such triangu…

math.CO2019★ 2 cited

Some statistics about Tropical Sandpile Model

Nikita Kalinin, Yulieth Prieto

Tropical sandpile model (or linearized sandpile model) is the only known continuous geometric model exhibiting self-organised criticality. This model represents the scaling limit b…

math.CO2017★ 10 cited