12 citations · 48 across the 26 of their papers we have counts for
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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…
What is a lattice W-algebra?
Anton Izosimov, Gloria Marí Beffa
We employ the Poisson-Lie group of pseudo-difference operators to define lattice analogs of classical -algebras. We then show that the so-constructed algebras coincide with th…
Geometry of generalized fluid flows
Anton Izosimov, Boris Khesin
The Euler equation of an ideal (i.e. inviscid incompressible) fluid can be regarded, following V.Arnold, as the geodesic flow of the right-invariant -metric on the group of vo…
Long-diagonal pentagram maps
Anton Izosimov, Boris Khesin
The pentagram map on polygons in the projective plane was introduced by R. Schwartz in 1992 and is by now one of the most popular and classical discrete integrable systems. In the…
Polygon recutting as a cluster integrable system
Anton Izosimov
Recutting is an operation on planar polygons defined by cutting a polygon along a diagonal to remove a triangle, and then reattaching the triangle along the same diagonal but with…