From the 1 of 4 linked papers with an AI index.
3 citations · 3 across the 2 of their papers we have counts for
4 papers
Many-point tropical relaxation and the Monge--Ampère equation
Nikita Kalinin, Ernesto Lupercio, Higinio Serrano +1
The authors develop a tropical approximation scheme for the planar Aleksandrov Monge‑Ampère equation using concave tropical series defined by point clouds, and prove that the scale…
A guide to tropical modifications
Nikita Kalinin
This paper surveys {\it tropical modifications}, a notion that has become part of the folklore of tropical geometry. Tropical modifications are used in tropical intersection theory…
Sandpile group of infinite graphs
Nikita Kalinin, Vladislav Khramov
For a finite connected graph and a non-empty subset of its vertices thought of sinks, the so-called critical group (or sandpile group) has been studied for a long…
Shrinking dynamic on multidimensional tropical series
Nikita Kalinin
We define multidimensional tropical series, i.e. piecewise linear functions which are tropical polynomials locally but may contain an infinite number of monomials. Tropical series…