30 citations · 193 across the 29 of their papers we have counts for
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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…
nlin.SI2016★ 1 cited
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…