1 citations · 2 across the 4 of their papers we have counts for
6 papers
Change of polytope volumes under Möbius transformations and the circumcenter of mass
Anton Izosimov
The circumcenter of mass of a simplicial polytope is defined as follows: triangulate , assign to each simplex its circumcenter taken with weight equal to the volume of the s…
Dimers, networks, and cluster integrable systems
Anton Izosimov
We prove that the class of cluster integrable systems constructed by Goncharov and Kenyon out of the dimer model on a torus coincides with the one defined by Gekhtman, Shapiro, Tab…
Intersecting the sides of a polygon
Anton Izosimov
Consider the map which sends a planar polygon to a new polygon whose vertices are the intersection points of second nearest sides of . This map is the inverse of…
The limit point of the pentagram map and infinitesimal monodromy
Quinton Aboud, Anton Izosimov
The pentagram map takes a planar polygon to a polygon whose vertices are the intersection points of consecutive shortest diagonals of . The orbit of a convex polygon un…
Classification of Casimirs in 2D hydrodynamics
Anton Izosimov, Boris Khesin
We describe a complete list of Casimirs for 2D Euler hydrodynamics on a surface without boundary: we define generalized enstrophies which, along with circulations, form a complete…
Matrix polynomials, generalized Jacobians, and graphical zonotopes
Anton Izosimov
A matrix polynomial is a polynomial in a complex variable with coefficients in complex matrices. The spectral curve of a matrix polynomial is the curve $\{…