Godofredo Iommi

(see also Arxiv or ORCID).

• Non-compact spaces of invariant measures (with Anibal Velozo).

• Ergodic theorems for set maps under weak forms of additivity   (with Raimundo Briceño).

• Additive realizations of asymptotically additive set maps (with Raimundo Briceño).

• Odometers in non-compact spaces   (with Mario Ponce) To appear in Annali della Scuola Normale Superiore di Pisa.

• Hölder continuity of measures for heavy tail potentials (with Dalia Terhesiu and Mike Todd). To appear in Ergodic Theory and Dynam. Systems. 

• Odometers, Backward continued fractions and counting rationals. (with Mario Ponce). The American Mathematical Monthly.  134, no.4,  333-349 (2025)

• The Halász-Székely barycenter (with Jairo Bochi and Mario Ponce). Proc. Edinburgh Math. Soc. (2) 65, no.4, 881-911 (2022)

• Differentiability of the pressure in non-compact spaces (with Mike Todd). Fundamenta Mathematicae 259, Vol.2 151--177 (2022).

• Perfect Matchings in Inhomogeneous Random Bipartite Graphs in Random Enviroment. (with  Jairo Bochi and Mario Ponce) CUBO 24.  no 2. 263-272 (2022).

• Escape of entropy for countable Markov shifts. (with Mike Todd  and Aníbal Velozo).  Advances in Mathematics 405, Paper No. 108507 (2022).

• The space of invariant measures for countable Markov shifts (with Anibal Velozo).  Journal d'Analyse Mathematique 143 no.2 461-501 (2021).

• Pressure, Poincaré series and box dimension of the boundary (with Aníbal Velozo). Nonlinearity 34 no 6. 3936-3952 (2021).

• Measures of maximal entropy for suspension flows. (with Aníbal Velozo) Math. Z. 297, no 3-4, 1473-1482 (2021). 

• Upper semi-continuity of entropy in non-compact settings (with Mike Todd and Aníbal Velozo). Mathematical Research Letters 27. 1055-1077 (2020). 

• Hidden Gibbs measures on shift spaces over countable alphabtes (with Camilo Lacalle and Yuki Yayama). Stochastics and Dynamics 20, no 4, 2050028 (2020).

• Time changes for flows and thermodynamic formalism (with Italo Cipriano). Nonlinearity 32. 2848-2874 (2019).

• Entropy in the cusp and phase transitions for geodesic flows (with Felipe Riquelme and Aníbal Velozo) Israel Journal of Mathematics 225. no 2, 609-659 (2018).

• Weak Gibbs measures as Gibbs measures for asymptotically additive sequences (with Yuki Yayama). Proceedings of the AMS 145, no 4. 1599-1614 (2017).

• Transience and multifractal analysis (with Thomas Jordan and Mike Todd ). Annales de l'Institut Henri Poincare / Analyse non lineaire 34. no 2, 407-421 (2017).

• The scaling mean and a law of large permanents (with Jairo Bochi and Mario Ponce). Advances in Mathematics 292, 374-409 (2016).

• Recurrence and transience for suspension flows (with Thomas Jordan and Mike Todd). Israel Journal of Mathematics  vol. 209, Issue 2, 547–592 (2015).

• Multifractal analysis of Birkhoff averages for countable Markov maps (with Thomas Jordan) Ergodic Theory and Dynam. Systems vol. 35, no 08, 2559-2586 (2015).

• Multifractal analysis of quotients of Birkhoff sums for countable Markov maps (with Thomas Jordan) Int. Math. Res. Not. IMRN  2, 460-498 (2015).

• Zero temperature limits of Gibbs states for almost-additive potentials (with Yuki Yayama) Journal of Statistical Physics 155, 23-46 (2014).

• Thermodynamic formalism for interval maps: inducing schemes (with Mike Todd) Dyn. Sys. Issue edited by Quas and Vaienti. vol. 28 Issue 3, 354-380 (2013).

• Transience in dynamical systems   (with  Mike Todd). Ergodic Theory and Dynam. Systems  vol 33, no 5, 1450-1476 (2013).

• Phase transitions for suspension flows (with Thomas Jordan) Communications in Mathematical Physics 320, 475-498 (2013).

• The Lyapunov spectrum as the Newton method. Physica A, 391, vol.9 2848-2852 (2012).

• Almost-additive thermodynamic formalism for countable Markov shifts (with Yuki Yayama).  Nonlinearity 25, 165-191 (2012).

• Dimension theory for multimodal maps (with Mike Todd ). Annales Henri Poincaré 12, 591-620 (2011). 

• Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes (with  Luis Barreira). Israel Journal of Mathematics vol.181 347--379 (2011).

• Natural equilibrium states for multimodal maps (with Mike Todd).  Communications in Mathematical Physics 300, 65-94 (2010).

• Multifractal analysis of Lyapunov exponent for the backward continued fraction map. Ergodic Theory and Dynam. Systems vol. 30 no.1 211-232 (2010).

• The Lyapunov spectrum is not always concave (with Jan Kiwi ) Journal of Statistical Physics vol.135 no.3, 535-546 (2009). 

• The frequency of digits in the Lüroth expansion (with Luis Barreira) Journal of Number Theory vol. 129 no.6, 1479-1490 (2009). Corrections

• Partial quotients of continued fractions and beta-shifts (with Luis Barreira) Nonlinearity 21, 2211-2219 (2008).

• Ergodic Optimization for Renewal type shifts  Monatshefte fur Mathematik vol.150 no.2, 91-95 (2007).

• Multifractal Analysis for the Exponential family (with  B. Skorulski)  Discrete and Continuous Dynamical Systems vol.16 no.4,  857-869 (2006).

• Suspension flows over countable Markov shifts (with Luis Barreira)  Journal of Statistical Physics vol.124 no.1, 207-230 (2006).

• Multifractal Analysis for countable Markov shifts  Ergodic Theory and Dynam. Systems vol. 25 no. 6, 1881-1907 (2005).

• Means of digits in continued fractions (2021).

• An ergodic theorem for permanents of oblong matrices (with Jairo Bochi and Mario Ponce). (2015) (After the completion of this paper, we were informed that Theorem 1 is a particular case of Theorem U in J. Aaronson, R. Burton, H. Dehling, D. Gilat, T. Hill, B. Weiss. "Strong laws for L– and U–statistics." Trans. Amer. Math. Soc. 348 (1996), no. 7, 2845–2866.).

• The Besicovitch formula (2012).

• Thermodynamic formalism for the positive geodesic flow on the modular surface. (Superceded by "Phase transitions for suspension flows"by Iommi and Jordan).

• Funciones continuas con máximos locales densos Revista del Jóven Matemático no.3, 27-34 (2012) (in Spanish).

• The dimension theory of number theoretically defined sets  Notes from Encuentro SOMACHI 2008, Valparaíso, 2008.

• The Bowen Formula: Dimension Theory and Thermodynamic Formalism  Notes from VII Escuela de Sistemas Dinámicos, Valparaíso, 2008.

• The Mean, the maximal and the pointwise ergodic theorems.   (2021). 

• Cálculo Real. (2014) Lecture notes for the courses of calculus and analysis in one variable (in Spanish).