godofredo iommi

Godofredo Iommi


	Facultad de Matemática, Pontificia Universidad Católica de Chile (PUC).
	Av. Vicuña Mackenna 4860, Santiago, Chile.
	Phone: (56-2) 2354 44 66
	Fax: (56-2) 25525916.
	Office: 307. e-mail: giommi (at) mat.puc.cl

-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

THERMODYNAMIC FORMALIMS AND APPLICATIONS

8-12 July 2013 Pontificia Universidad Católica de Chile

I am an assistant professor at the Facultad de Matemáticas of Pontificia Universidad Católica de Chile. I am also a member of the Chilean research group on Dynamical Systems and of the Center of Dynamical Systems and Related Fields. A programme of the dynamical systems seminar of Santiago can be found here.
My main interests are Ergodic Theory, Dimension Theory and Dynamical Systems.

Papers and Preprints.

Multifractal Analysis for countable Markov shifts Ergodic Theory and Dynam. Systems vol. 25 no. 6, 1881-1907 (2005).
Suspension flows over countable Markov shifts (with Luis Barreira) Journal of Statistical Physics vol.124 no.1, 207-230 (2006).
Multifractal Analysis for the Exponential family (with B. Skorulski) Discrete and Continuous Dynamical Systems vol.16 no.4, 857-869 (2006).
Ergodic Optimization for Renewal type shifts Monatshefte fur Mathematik vol.150 no.2, 91-95 (2007).
Partial quotients of continued fractions and beta-shifts (with Luis Barreira) Nonlinearity 21, 2211-2219 (2008).
The frequency of digits in the Lüroth expansion (with Luis Barreira) Journal of Number Theory vol. 129 no.6, 1479-1490 (2009). Corrections
The Lyapunov spectrum is not always concave (with Jan Kiwi ) Journal of Statistical Physics vol.135 no.3, 535-546 (2009).
Multifractal analysis of Lyapunov exponent for the backward continued fraction map. Ergodic Theory and Dynam. Systems vol. 30 no.1 211-232 (2010).
Natural equilibrium states for multimodal maps (with Mike Todd). Communications in Mathematical Physics 300, 65-94 (2010).
Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes (with Luis Barreira). Israel Journal of Mathematics vol.181 347--379 (2011).
Dimension theory for multimodal maps (with Mike Todd ). Annales Henri Poincaré 12, 591-620 (2011).
Almost-additive thermodynamic formalism for countable Markov shifts (with Yuki Yayama). Nonlinearity 25, 165-191 (2012).
The Lyapunov spectrum as the Newton method. Physica A, 391, vol.9 2848-2852 (2012).
Phase transitions for suspension flows (with Thomas Jordan) Communications in Mathematical Physics 320, 475-498 (2013).
Multifractal analysis of Birkhoff averages for countable Markov maps (with Thomas Jordan)
Transience in dynamical systems (with Mike Todd). To appear in Ergodic Theory and Dynam. Systems.
Recurrence and transience for suspension flows (with Thomas Jordan and Mike Todd).
Thermodynamic formalism for interval maps: inducing schemes (with Mike Todd) To appear in Dynamical Systems: An International Journal, special issue edited by Quas and Vaienti.
Multifractal analysis of quotients of Birkhoff sums for countable Markov maps (with Thomas Jordan)

Notes.

The Bowen Formula: Dimension Theory and Thermodynamic Formalism Notes from VII Escuela de Sistemas Dinámicos, Valparaíso, 2008.
The dimension theory of number theoretically defined sets Notes from Encuentro SOMACHI 2008, Valparaíso, 2008.
Funciones continuas con máximos locales densos Revista del Jóven Matemático no.3, 27-34 (2012) (in Spanish).
Thermodynamic formalism for the positive geodesic flow on the modular surface. (Superceded by "Phase transitions for suspension flows"by Iommi and Jordan).
The Besicovitch formula (2012).

Last modified 10 of May 2013.