40 citations · 460 across the 64 of their papers we have counts for
6 papers · 1 filter
Splitting necklaces and measurable colorings of the real line
Noga Alon, Jarosław Grytczuk, Michał Lasoń +1
A (continuous) necklace is simply an interval of the real line colored measurably with some number of colors. A well-known application of the Borsuk-Ulam theorem asserts that every…
Exponential Varieties
Mateusz Michałek, Bernd Sturmfels, Caroline Uhler +1
Exponential varieties arise from exponential families in statistics. These real algebraic varieties have strong positivity and convexity properties, familiar from toric varieties a…
Plethysm and lattice point counting
Thomas Kahle, Mateusz Michalek
We apply lattice point counting methods to compute the multiplicities in the plethysm of . Our approach gives insight into the asymptotic growth of the plethysm and makes th…
Non-normal very ample polytopes - constructions and examples
Michał Lasoń, Mateusz Michałek
We present a method of constructing non-normal very ample polytopes as a segmental fibration of unimodular graph polytopes. In many cases we explicitly compute their invariants - H…
Local description of phylogenetic group-based models
Marta Casanellas, Jesús Fernández-Sánchez, Mateusz Michałek
Motivated by phylogenetics, our aim is to obtain a system of equations that define a phylogenetic variety on an open set containing the biologically meaningful points. In this pape…
Secants of minuscule and cominuscule minimal orbits
Laurent Manivel, Mateusz Michałek
We study the geometry of the secant and tangential variety of a cominuscule and minuscule variety, e.g. a Grassmannian or a spinor variety. Using methods inspired by statistics we…