Athanasios BATAKIS


Associate Professor
Head of the Department of Mathematics

MAPMO (UMR 7349) and FDP (FR 2964)



Recherche areas

Potential theory
Evolution processes, city growth
Harmonic measure of fractal domains
Thermodynamical formalism
Multifractal analysis of measures
Intermittent transport

Publications

Articles submitted or published

A. Batakis & A. Zdunik : Hausdorff and harmonic measures on non-homogeneous Cantor sets, arxiv:1303.4373

A. Batakis & M. Zinsmeister : Invariant measures for intermittent transport

A. Batakis & H. Nguyen  : On the exit distribution of partially reflected Brownian motion in planar domains, Potential Analysis, 2012 & arXiv:1007.1373.

A. Batakis & M. Zinsmeister  : On the time schedule of Brownian Flights, arXiv:0906.4537.

A. Batakis, P. Levitz & M. Zinsmeister  : Brownian Flights, Pure and Applied Mathematics Quaterly : Volume 7, no 1 (2011), pg 87-105.

A. Batakis & B. Testud  : Multifractal formalism of inhomogeneous Bernoulli products, Journal of Statistical Physics: Volume 142, Issue 5 (2011), pg 1105

A. Batakis : Entropy and Hausdorff dimension of measures defined through a Markov process, Colloquium Mathematicum 104 (2006), 193-206 .

A. Batakis :  Continuity of the dimension of the harmonic measure of some Cantor sets under perturbations, Annales de l'institut Fourier, 56 no. 6 (2006), p. 1617-1631.

A. Batakis  & Y. Heurteaux :  "On relations between entropy and Hausdorff dimension of measures" , Asian Journal of Mathematics, Vol.6,  3 (2002), 399-408  

A. Batakis : " A continuity property of the dimension of harmonic measure of Cantor sets under perturbations", Annales IHP, Probabilités et Statistiques 36,1 (2000) 87-107

A. Batakis : "Harmonic measure of some Cantor-type sets" ,   Ann. Acad. Sc. Fenn. , Vol. 21,  1996

     
   

Articles to come

A. Batakis & al : On applied models of city growth

A. Batakis : The hitting ditribution of some Levy-like processes

A. Batakis & G. Havard : Continuity properties of dimension of harmonic measure of conformal IFS

Other notes

A. Batakis :"Habilitation à Diriger des Recherches", Orléans, 2010
A. Batakis :"Théorie du potentiel : i) Sur les domaines Poissoniens  et  ii) Sur la  mesure harmonique des ensembles de Cantor", Thèse (PhD), Université Paris XI, 1997
Athanasios Batakis & Yanick Heurteaux : "Multifractal analysis and harmonic measure", Cours de 3ème cycle, Université de Monastir, Tunisie
Athanasios Batakis : "A survey on harmonic measure", Actes du séminaire SCAM, Créteil.

Teaching and Research activities : Detailed CV


Teaching material

"Maths pour Sciences Physiques" (L1 semestre 1, année 2010-2013)
"Intégration" (L3 semestre 2, année 2011-12)
"Mesures et Intégration" (L3 semestre 1, toutes années)
"Probabilités" (L3 semestre 2, année 2012-13)
"Théorie Spectrale" (M1, semestre 2, année 2012-2013)
"Mathématiques pour la préparation aux concours" (L2 & L3, année 2013-2014)

bsp; --       international  +33 2.38.49.48.90
Fax : 02 38 41 72 05            --       international  +33 2.38.41.72.05



athanasios.batakis@univ-orleans.fr