Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Mandelshtam, Yelena"'
The Pl\"ucker positive region $\mathrm{OGr}_+(k,2k)$ of the orthogonal Grassmannian emerged as the positive geometry behind the ABJM scattering amplitudes. In this paper we initiate the study of the positive orthogonal Grassmannian $\mathrm{OGr}_+(k,
Externí odkaz:
http://arxiv.org/abs/2412.14091
A Grasstope is the image of the totally nonnegative Grassmannian $\text{Gr}_{\geq 0}(k,n)$ under a linear map $\text{Gr}(k,n)\dashrightarrow \text{Gr}(k,k+m)$. This is a generalization of the amplituhedron, a geometric object of great importance to c
Externí odkaz:
http://arxiv.org/abs/2307.09603
Publikováno v:
Experimental Mathematics 2023
We study constructing an algebraic curve from a Riemann surface given via a translation surface, which is a collection of finitely many polygons in the plane with sides identified by translation. We use the theory of discrete Riemann surfaces to give
Externí odkaz:
http://arxiv.org/abs/2211.00304
Autor:
Fevola, Claudia, Mandelshtam, Yelena
The Hirota variety parameterizes solutions to the KP equation arising from a degenerate Riemann theta function. In this work, we study in detail the Hirota variety arising from a rational nodal curve. Of particular interest is the irreducible subvari
Externí odkaz:
http://arxiv.org/abs/2203.00203
We study solutions to the Kadomtsev-Petviashvili equation whose underlying algebraic curves undergo tropical degenerations. Riemann's theta function becomes a finite exponential sum that is supported on a Delaunay polytope. We introduce the Hirota va
Externí odkaz:
http://arxiv.org/abs/2101.10392
Two-dimensional linear spaces of symmetric matrices are classified by Segre symbols. After reviewing known facts from linear algebra and projective geometry, we address new questions motivated by algebraic statistics and optimization. We compute the
Externí odkaz:
http://arxiv.org/abs/2009.04334
Autor:
Drillick, Hindy, Espinosa-Dominguez, Alonso, Jones-Baro, Jennifer N., Leng, James, Mandelshtam, Yelena, Silva, Cesar E.
For a class of irrational numbers, depending on their Diophantine properties, we construct explicit rank-one transformations that are totally ergodic and not weakly mixing. We classify when the measure is finite or infinite. In the finite case they a
Externí odkaz:
http://arxiv.org/abs/1810.11095
Autor:
Mandelshtam, Yelena
In this paper we study graphs defined by pattern-avoiding words. Word-representable graphs have been studied extensively following their introduction in 2000 and are the subject of a book published by Kitaev in 2015. Recently there has been interest
Externí odkaz:
http://arxiv.org/abs/1608.07614
Autor:
Farber, Miriam, Mandelshtam, Yelena
The structure of zero and nonzero minors in the Grassmannian leads to rich combinatorics of matroids. In this paper, we investigate an even richer structure of possible equalities and inequalities between the minors in the positive Grassmannian. It w
Externí odkaz:
http://arxiv.org/abs/1509.02600
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