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

collaborators

Showing 2022Show all

3 papers · 1 filter

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…

cond-mat.stat-mech2022

On the origin of the hierarchy of the sciences

Nikita Kalinin

We propose a simple "evolutionary" sandpile model exhibiting self-organised criticality and exactly $1/ f$ -noise (i.e. the critical exponent is equal to $- 1$ ) and observe emergent p…

math.AG2022★ 4 cited

Shrinking dynamic on multidimensional tropical series

Nikita Kalinin, Mikhail Shkolnikov

Let $Ω \subset R^{n}$ be a compact convex domain. An $Ω$ -tropical series is a nonnegative, concave, integral-slope, piecewise-affine function on $Ω$ that vanishes on $\partialΩ…