28 citations · 62 across the 29 of their papers we have counts for
33 papers
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…
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…
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…
Questions about the dynamics on a natural family of affine cubic surfaces
Julio Rebelo, Roland Roeder
We present several questions about the dynamics of the group of holomorphic automorphisms of the affine cubic surfaces $$S_{A,B,C,D} = \{(x,y,z) \in \mathbb{C}^3 \, : \, x^2 + y^2…
Equidistribution without stability for toric surface maps
Jeffrey Diller, Roland Roeder
We prove an equidistribution result for iterated preimages of curves by a large class of rational maps that cannot be birationally con…
Symmetries of the Three Gap Theorem
Aneesh Dasgupta, Roland Roeder
The Three Gap Theorem states that for any and , the fractional parts of partition the unit circle into gaps of at…