4 papers
Log-concavity and Approximate Counting for Totally Unimodular Polytopes
Jonathan Leake, Maryam Mohammadi Yekta
We present a new lower bound on the number of lattice points of all totally unimodular polytopes, generalizing previous lower bounds on contingency tables, integer flows, and beyon…
New Bounds for Integer Flows and Verma Modules, via Denormalized Lorentzian Laurent Series
Jonathan Leake, Maryam Mohammadi Yekta
The theory of log concave polynomials has recently been developed to study objects and problems in combinatorics and other subfields in mathematics. Particular classes of log conca…
An exceptional equinumerosity of lattice paths and Young tableaux
Liam Ayres, Evan Bialo, Aidan Cook +6
We consider families of plane lattice paths enumerated by Guy, Krattenthaler, and Sagan (1992). We show by explicit bijection that these families are equinumerous w…
Optimal Linear Sofic Approximations Of Countable Groups
Keivan Mallahi-Karai, Maryam Mohammadi Yekta
A countable group G is called k-linear sofic (for some 0 <k \le 1) if finite subsets of G admit "approximate representations" by complex invertible matrices in the normalized rank…