Athanasios
BATAKIS
Associate Professor
Head of the Department
of Mathematics
MAPMO (UMR 7349) and FDP (FR 2964)
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Recherche areas
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Potential theory
Evolution processes, city growth
Harmonic measure of fractal domains
Thermodynamical formalism
Multifractal analysis of
measures
Intermittent transport
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Publications
Articles submitted or published
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A. Batakis & A. Zdunik : Hausdorff and harmonic measures on non-homogeneous Cantor sets,
arxiv:1303.4373
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A. Batakis & M. Zinsmeister : Invariant measures for intermittent transport
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A. Batakis & H. Nguyen :
On the exit distribution of partially reflected Brownian motion in planar domains,
Potential Analysis, 2012 & arXiv:1007.1373.
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A. Batakis & M. Zinsmeister :
On the time schedule of Brownian Flights, arXiv:0906.4537.
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A. Batakis, P. Levitz & M. Zinsmeister :
Brownian Flights, Pure and Applied Mathematics Quaterly : Volume 7, no 1 (2011), pg 87-105.
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A. Batakis & B. Testud :
Multifractal formalism of inhomogeneous Bernoulli products, Journal of Statistical Physics: Volume 142, Issue 5 (2011), pg 1105
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A. Batakis :
Entropy
and Hausdorff dimension of measures defined through a Markov process, Colloquium Mathematicum 104 (2006), 193-206 .
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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.
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A. Batakis & Y. Heurteaux : "On relations between entropy
and Hausdorff dimension of measures" , Asian Journal of
Mathematics, Vol.6, 3 (2002),
399-408
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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
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A. Batakis : "Harmonic
measure of some Cantor-type sets" , Ann. Acad. Sc. Fenn. , Vol. 21,
1996
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Articles to come
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A. Batakis & al : On applied models of city growth
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A. Batakis : The hitting ditribution of some Levy-like processes
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A. Batakis & G. Havard : Continuity properties of dimension of harmonic measure of conformal IFS
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Other notes
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A. Batakis :"Habilitation à Diriger des Recherches", Orléans, 2010
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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
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Athanasios Batakis & Yanick Heurteaux : "Multifractal analysis and harmonic measure", Cours de 3ème cycle, Université de Monastir, Tunisie
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Athanasios Batakis : "A survey on harmonic measure", Actes du séminaire SCAM, Créteil.
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Teaching and Research activities :
Detailed CV
Teaching material
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international +33 2.38.49.48.90
Fax : 02 38 41 72
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international +33 2.38.41.72.05
