91 citations · 976 across the 71 of their papers we have counts for
76 papers
Conserved quantities of discretizations by polarization
Noah Gießing, Yuri B. Suris
Recently, a family of unconventional integrators for higher order ODEs with polynomial vector fields was proposed, based on the polarization of vector fields. The simplest instance…
Geometry of two- and three-dimensional integrable systems related to affine Weyl groups and
Jaume Alonso, Yuri B. Suris
We find a general framework for the construction of birational involutions on two- and three-dimensional varieties obtained from , , and…
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…
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…
Discrete Painlevé equations from pencils of quadrics in with branching generators
Jaume Alonso, Yuri B. Suris
In this paper we extend the novel approach to discrete Painlevé equations initiated in our previous work [2]. A classification scheme for discrete Painlevé equations proposed by Sa…
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…