30 citations · 193 across the 29 of their papers we have counts for
31 papers
Orthogonality with Respect to the Hermite Product, KP Wave Functions, and the Bispectral Involution
Alex Kasman, Rob Milson, Michael Gekhtman
It is well known that for any wave function of the KP hierarchy, there is another wave function called its ''adjoint'' such that the path integral of their product with re…
On bounded ratios of minors of totally positive matrices
Daniel Soskin, Michael Gekhtman
We provide several examples of bounded Laurent monomials of minors of a totally positive matrix, which can not be factored into a product of so called primitive ratios, thus showin…
Validity of tests for time-to-event endpoints in studies with the Pocock and Simon covariate-adaptive randomization
Victoria P. Johnson, Michael Gekhtman, Olga M. Kuznetsova
In the presence of prognostic covariates, inference about the treatment effect with time-to-event endpoints is mostly conducted via the stratified log-rank test or the score test b…
Asymptotic sign coherence conjecture
Michael Gekhtman, Tomoki Nakanishi
The sign coherence phenomenon is an important feature of c-vectors in cluster algebras with principal coefficients. In this note, we consider a more general version of c-vectors de…
Hamiltonian and Lagrangian formalisms of mutations in cluster algebras and application to dilogarithm identities
Michael Gekhtman, Tomoki Nakanishi, Dylan Rupel
We introduce and study a Hamiltonian formalism of mutations in cluster algebras using canonical variables, where the Hamiltonian is given by the Euler dilogarithm. The correspondin…
Inverse moment problem for non-Abelian Coxeter double Bruhat cells
Michael Gekhtman
We solve the inverse problem for non-Abelian Coxeter double Bruhat cells in terms of the matrix Weyl functions. This result can be used to establish complete integrability of the n…