5 citations · 14 across the 9 of their papers we have counts for
12 papers
Equidistribution of currents under Anosov group actions
Nguyen-Bac Dang, Michael Kapovich, Mikhail Lyubich +1
We study the behavior of currents on flag-manifolds under actions of Anosov subgroups of complex semisimple Lie groups G. Given a current T of bidimension (k, k) on the full flag-m…
Variation of the Hausdorff dimension and degenerations of Schottky groups
Nguyen-Bac Dang, Vlerë Mehmeti
We show that the Hausdorff dimension of the limit set of a Schottky group varies continuously over the moduli space of Schottky groups defined over any complete valued field constr…
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…
Intersection theory of nef b-divisor classes
Nguyen-Bac Dang, Charles Favre
We prove that any nef b-divisor class on a projective variety defined over an algebraically closed field of characteristic 0 is a decreasing limit of nef Cartier classes. Building…
Spectral interpretations of dynamical degrees and applications
Nguyen-Bac Dang, Charles Favre
We prove that dynamical degrees of rational self-maps on projective varieties can be interpreted as spectral radii of naturally defined operators on suitable Banach spaces. General…
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…
Degree growth for tame automorphisms of an affine quadric threefold
Nguyen-Bac Dang
In this paper, we consider the degree sequences of the tame automorphisms preserving an affine quadric threefold. Using some valuatives estimates derived from the work of Shestakov…
Positivity of valuations on convex bodies and invariant valuations by linear actions
Nguyen-Bac Dang, Jian Xiao
In this paper, we endow the space of continuous translation invariant valuation on convex sets generated by mixed volumes coupled with a suitable Radon measure on tuples of convex…
Degrees of Iterates of Rational Maps on Normal Projective Varieties
Nguyen-Bac Dang
Let X be a normal projective variety defined over an algebraically closed field of arbitrary characteristic. We study the sequence of intermediate degrees of the iterates of a domi…