31 citations · 140 across the 29 of their papers we have counts for
40 papers
Pressure at infinity and Large Deviations
Godofredo Iommi, Thomas Jordan, Anibal Velozo
We establish level-1 large deviation principles for continuous time suspension flows over countable Markov shifts, a class of non compact dynamical systems. Our results both quanti…
Equidistribution and thermodynamics at infinity
Godofredo Iommi, Felipe Riquelme, Aníbal Velozo
We prove level-2 large deviation upper bounds for potentials on countable Markov shifts and for suspension semi-flows over countable Markov shifts. For strongly positive recurrent…
Continuous pointwise ergodicity for semigroup actions on locally compact spaces
Raimundo Briceño, Godofredo Iommi
We investigate proper actions of arbitrary semigroups on separable locally compact metric spaces, where point orbits are allowed to escape to infinity. An action is pointwise uniqu…
Convergence of the Birkhoff spectrum for nonintegrable observables
Godofredo Iommi, Mike Todd, Boyuan Zhao
We consider interval maps with countably many full branches and observables with polynomial tails. We show that the Birkhoff spectrum is real analytic and that its convergence to t…
Non-compact spaces of invariant measures
Godofredo Iommi, Anibal Velozo
We study a compactification of the space of invariant probability measures for a transitive countable Markov shift. We prove that it is affine homeomorphic to the Poulsen simplex.…
Ergodic theorems for set maps under weak forms of additivity
Raimundo Briceño, Godofredo Iommi
We investigate various relaxations of additivity for set maps into Banach spaces in the context of representations of amenable groups. Specifically, we establish conditions under w…
Additive realizations of asymptotically additive set maps
Raimundo Briceño, Godofredo Iommi
Given a countable discrete amenable group, we study conditions under which a set map into a Banach space (or more generally, a complete semi-normed space) can be realized as the er…
Odometers in non-compact spaces
Godofredo Iommi, Mario Ponce
We define an odometer in the Baire space. That is the non-compact space of one sided sequences of natural numbers. We go on to prove that it is topologically conjugated to the dyad…
Odometers, Backward continued fractions and counting rationals
Godofredo Iommi, Mario Ponce
It has been more than twenty years since Moshe Newman, based on work by Neil Calkin and Herbert Wilf, introduced an explicit bijection between the rational and natural numbers. Int…
Hölder continuity of measures for heavy tail potentials
Godofredo Iommi, Dalia Terhesiu, Mike Todd
For a class of potentials satisfying a condition depending on the roof function of a suspension (semi)flow, we show an EKP inequality, which can be interpreted as a Hölder cont…
The Halász-Székely Barycenter
Jairo Bochi, Godofredo Iommi, Mario Ponce
We introduce a notion of barycenter of a probability measure related to the symmetric mean of a collection of nonnegative real numbers. Our definition is inspired by the work of Ha…
Differentiability of the pressure in non-compact spaces
Godofredo Iommi, Mike Todd
Regularity properties of the pressure are related to phase transitions. In this article we study thermodynamic formalism for systems defined in non-compact phase spaces, our main f…
Measures of maximal entropy for suspension flows
Godofredo Iommi, Anibal Velozo
We study suspension flows defined over sub-shifts of finite type with continuous roof functions. We prove the existence of suspension flows with uncountably many ergodic measures o…
Escape of entropy for countable Markov shifts
Godofredo Iommi, Mike Todd, Anibal Velozo
In this paper we study ergodic theory of countable Markov shifts. These are dynamical systems defined over non-compact spaces. Our main result relates the escape of mass, the measu…
The space of invariant measures for countable Markov shifts
Godofredo Iommi, Anibal Velozo
It is well known that the space of invariant probability measures for transitive sub-shifts of finite type is a Poulsen simplex. In this article we prove that in the non-compact se…
Upper semi-continuity of entropy in non-compact settings
Godofredo Iommi, Mike Todd, Aníbal Velozo
We prove that the entropy map for countable Markov shifts of finite entropy is upper semi-continuous at ergodic measures. Note that the phase space is non-compact. Applications to…
Hidden Gibbs measures on shift spaces over countable alphabets
Godofredo Iommi, Camilo Lacalle, Yuki Yayama
We study the thermodynamic formalism for particular types of sub-additive sequences on a class of subshifts over countable alphabets. The subshifts we consider include factors of i…
Pressure, Poincaré series and box dimension of the boundary
Godofredo Iommi, Aníbal Velozo
In this note we prove two related results. First, we show that for certain Markov interval maps with infinitely many branches the upper box dimension of the boundary can be read fr…
Time change for flows and thermodynamic formalism
Italo Cipriano, Godofredo Iommi
This paper is devoted to study how do thermodynamic formalism quantities varies for time changes of suspension flows defined over countable Markov shifts. We prove that in general…
Perfect Matchings in Inhomogeneous Random Bipartite Graphs in Random Environment
Jairo Bochi, Godofredo Iommi, Mario Ponce
In this note we study inhomogeneous random bipartite graphs in random environment. These graphs can be thought of as an extension of the classical Erdös-Rényi random graphs in a ra…
Entropy in the cusp and phase transitions for geodesic flows
Godofredo Iommi, Felipe Riquelme, Anibal Velozo
In this paper we study the geodesic flow for a particular class of Riemannian non-compact manifolds with variable pinched negative sectional curvature. For a sequence of invariant…
Weak Gibbs measures as Gibbs measures for asymptotically additive sequences
Godofredo Iommi, Yuki Yayama
In this note we prove that every weak Gibbs measure for an asymptotically additive sequences is a Gibbs measure for another asymptotically additive sequence. In particular, a weak…
The Scaling Mean and a Law of Large Permanents
Jairo Bochi, Godofredo Iommi, Mario Ponce
In this paper we study two types of means of the entries of a nonnegative matrix: the \emph{permanental mean}, which is defined using permanents, and the \emph{scaling mean}, which…
An ergodic theorem for permanents of oblong matrices
Jairo Bochi, Godofredo Iommi, Mario Ponce
We form a sequence of oblong matrices by evaluating an integrable vector-valued function along the orbit of an ergodic dynamical system. We obtain an almost sure asymptotic result…