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nlin.SI2025
Geometry of autonomous discrete Painlevé equations related to the Weyl group
Jaume Alonso, Yuri B. Suris
Discrete Painlevé equations are integrable two-dimensional birational maps associated to a family of generalized Halphen surfaces. The latter can be seen either as bl…
nlin.SI2025
Invariant volume form for 3D QRT maps
Jaume Alonso, Yuri B. Suris
Recently, we proposed a three-dimensional generalization of QRT maps. These novel maps can be associated with pairs of pencils of quadrics in . By construction, these…
nlin.SI2024
Discrete Painlevé equations and pencils of quadrics in
Jaume Alonso, Yuri B. Suris, Kangning Wei
Discrete Painlevé equations constitute a famous class of integrable non-autonomous second order difference equations. A classification scheme proposed by Sakai interprets a discret…