Jaume Alonso

collaborators

3 papers

math-ph2025

Discrete Painlevé equations from pencils of quadrics in $P^{3}$ 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…

math.DS2023

Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups II. 3D examples

Jaume Alonso, Yuri B. Suris, Kangning Wei

The goal of this paper is the exact computation of the degrees $deg (f^{n})$ of the iterates of birational maps $f : P^{N} ⇢ P^{N}$ . In the preceding…

math.DS2023

Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups I. General theory and 2D examples

Jaume Alonso, Yuri B. Suris, Kangning Wei

In this paper we address the problem of computing $deg (f^{n})$ , the degrees of iterates of a birational map $f : P^{N} \to P^{N}$ . For this goal, we develop…

Discrete Painlevé equations from pencils of quadrics in P3 with branching generators

Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups II. 3D examples

Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups I. General theory and 2D examples

Discrete Painlevé equations from pencils of quadrics in $P^{3}$ with branching generators