1 citations · 1 across the 2 of their papers we have counts for
5 papers
Self-similar groups and holomorphic dynamics: Renormalization, integrability, and spectrum
Nguyen-Bac Dang, Rostislav Grigorchuk, Mikhail Lyubich
In this paper, we explore the spectral measures of the Laplacian on Schreier graphs for several self-similar groups (the Grigorchuk, Lamplighter, and Hanoi groups) from the dynamic…
Dynamical degrees of automorphisms on abelian varieties
Nguyen-Bac Dang, Thorsten Herrig
For any given Salem number, we construct an automorphism on a simple abelian variety whose first dynamical degree is the square of the Salem number. Our construction works for both…
A central limit theorem for the degree of a random product of Cremona transformations
Nguyen-Bac Dang, Giulio Tiozzo
We prove a central limit theorem for the algebraic and dynamical degrees of a random composition of Cremona transformations.
Higher arithmetic degrees of dominant rational self-maps
Nguyen-Bac Dang, Dragos Ghioca, Fei Hu +2
Suppose that is a dominant rational self-map of a smooth projective variety defined over . Kawaguchi and Silverman conjecture…
Dynamical invariants of monomial correspondences
Nguyen-Bac Dang, Rohini Ramadas
We focus on various dynamical invariants associated to toric correspondences, using algebraic geometry or arithmetic. We find a formula for the dynamical degrees, relate the expone…