19 citations · 35 across the 9 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2021
Deformations of cluster mutations and invariant presymplectic forms
Andrew N. W. Hone, Theodoros E. Kouloukas
We consider deformations of sequences of cluster mutations in finite type cluster algebras, which destroy the Laurent property but preserve the presymplectic structure defined by t…
math-ph2020
Discrete Hirota reductions associated with the lattice KdV equation
Andrew N. W. Hone, Theodoros E. Kouloukas
We study the integrability of a family of birational maps obtained as reductions of the discrete Hirota equation, which are related to travelling wave solutions of the lattice KdV…
math-ph2017★ 14 cited
Relativistic Collisions as Yang-Baxter maps
Theodoros E. Kouloukas
We prove that one-dimensional elastic relativistic collisions satisfy the set-theoretical Yang-Baxter equation. The corresponding collision maps are symplectic and admit a Lax repr…