11 citations · 30 across the 7 of their papers we have counts for
8 papers
Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
Leandro Arosio, Matteo Fiacchi, Lorenzo Guerini +1
We study the interplay between the backward dynamics of a non-expanding self-map of a proper geodesic Gromov hyperbolic metric space and the boundary regular fixed points o…
Zeros, chaotic ratios and the computational complexity of approximating the independence polynomial
David de Boer, Pjotr Buys, Lorenzo Guerini +2
The independence polynomial originates in statistical physics as the partition function of the hard-core model. The location of the complex zeros of the polynomial is related to ph…
The horofunction boundary of a Gromov hyperbolic space
Leandro Arosio, Matteo Fiacchi, Sebastien Gontard +1
We highlight a condition, the approaching geodesics property, on a proper geodesic Gromov hyperbolic metric space, which implies that the horofunction compactification is topologic…
Canonical models on strongly convex domains via the squeezing function
Amedeo Altavilla, Leandro Arosio, Lorenzo Guerini
We prove that if a holomorphic self-map of a bounded strongly convex domain with smooth boundary is hyperbolic then it admits a natural semi…
Lee-Yang Zeros of the antiferromagnetic Ising Model
Ferenc Bencs, Pjotr Buys, Lorenzo Guerini +1
We investigate the location of zeros for the partition function of the anti-ferromagnetic Ising Model, focusing on the zeros lying on the unit circle. We give a precise characteriz…
Backward orbits in the unit ball
Leandro Arosio, Lorenzo Guerini
We show that, if is a holomorphic self-map of the unit ball in and is a boundary repelling fixed…
Random local complex dynamics
Lorenzo Guerini, Han Peters
The study of the dynamics of an holomorphic map near a fixed point is a central topic in complex dynamical systems. In this paper we will consider the corresponding random setting:…
Julia sets of complex Hénon maps
Lorenzo Guerini, Han Peters
There are two natural definitions of the Julia set for complex Hénon maps: the sets and . Whether these two sets are always equal is one of the main open questions in…