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math.RA2022★ 1 cited
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…
math.RA2016★ 4 cited
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…