3 papers
math.DS2026
Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations
Andrei Grigorev, Krishna Chaitanya Kalidindi, Andres Quintero Santander +1
Using the methods of holomorphic dynamics we investigate planar birational mappings that arise from the theory of cluster algebras and integrable systems. Computing dynamical degre…
math-ph2025
A dynamical approach to studying the Lee-Yang zeros for the Potts Model on the Cayley Tree
Diyath Pannipitiya, Roland Roeder
Let denote the partition function of the -state Potts Model on the rooted binary Cayley tree of depth~. Here, and with $h…
math.DS2025
Energy, equilibrium measure and entropy for toric surface maps
Jeffrey Diller, Roland Roeder
We consider the ergodic theory of plane rational maps that preserve the natural holomorphic volume form on the algebraic torus. Specifically we construct natural invariant probabil…