17 citations · 51 across the 22 of their papers we have counts for
5 papers · 1 filter
On symplectic capacities of toric domains
Michael Landry, Matthew McMillan, Emmanuel Tsukerman
A toric domain is a subset of which is invariant under the standard rotation action of on . For a toric domain from…
Polygonal Bicycle Paths and the Darboux Transformation
I. Alevy, E. Tsukerman
A Bicycle -gon is an equilateral -gon whose diagonals are of equal length. In this paper we consider periodic bicycle -paths, which are a natural variation in…
Fourier-Dedekind Sums and an Extension of Rademacher Reciprocity
Emmanuel Tsukerman
Fourier-Dedekind sums are a generalization of Dedekind sums - important number-theoretical objects that arise in many areas of mathematics, including lattice point enumeration, sig…
Monotonicity of the optimal perimeter in isoperimetric problems on
Emmanuel Tsukerman
We prove general theorems for isoperimetric problems on lattices of the form which state that the perimeter of the optimal set is a monot…
Circumcenter of Mass and generalized Euler line
Serge Tabachnikov, Emmanuel Tsukerman
We define and study a variant of the center of mass of a polygon and, more generally, of a simplicial polytope which we call the Circumcenter of Mass (CCM). The Circumcenter of Mas…