Dr. Doris Bohnet

	Institut de Mathématiques de Bourgogne UMR 5584 CNRS Université de Bourgogne Faculté des Sciences Mirande 9 avenue Alain Savary 21078 Dijon Cedex   E-Mail: Doris.Bohnet (at) u-bourgogne.fr

I work in the area of dynamical systems. At the moment I am mainly interested in partially hyperbolic diffeomorphisms on compact manifolds and their classification, depending on properties of their center foliation (assuming that it exists). In my PhD thesis I considered partially hyperbolic diffeomorphisms with compact center foliations under the supervision of Prof. Roland Gunesch at the University of Hamburg and Prof. Dr. Christian Bonatti at the Universite de Bourgogne.

Publications:

1. D. Bohnet: Codimension one partially hyperbolic diffeomorphisms with a compact center foliation, J. Mod. Dyn., Volume 7, No. 4, p.565-604, 2013 (pdf).
3. D. Bohnet, C. Bonatti: Partially hyperbolic diffeomorphisms with uniformly compact center foliation: quotient dynamics, Ergodic Theory Dyn. Sys., First View, p. 1-39, 2015(pdf).

Talks:

• Workshop Random Perturbations and Statistical Properties of Dynamical Systems, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, 09.07.2013.
• Séminaire Etudiants, Université de Bourgogne, Dijon, Frankreich, 05.04.2013.
  Stabilité des feuilletages
• Séminaire Theorie ergodique et systemes dynamiques, Université Paris 13, 27.03.2013.
• Séminare Algèbre, Université Caen, 26.03.2013.
• Séminaire Algèbre, topologie et dynamique, Aix-Marseille Université, 18.03.2013
• Séminaire Géométrie et théorie spectrale, Institut Fourier, Université Grenoble, 14.03.2013.
• Groupe de travail ergodique et dynamique, Université Paris-Sud 11, 28.01.2013.
  Dynamique quotient de certains difféomorphismes partiellement hyperboliques
• Oberseminar Dynamische Systeme, Ruhr-Universität Bochum, 02.11.2012.
  Quotient dynamics of certain partially hyperbolic diffeomorphisms
• Conference Foliations, Lodz, Poland, 25.06.2012.
  Partially hyperbolic diffeomorphisms with a uniformly compact center foliation and its dynamics on the leaf space
• Dynamical Systems Seminar, Universite de Bourgogne, Dijon, 08.02.2012.
  Partially hyperbolic diffeomorphisms with a compact center foliation.
• Conference Beyond uniform hyperbolicity, Luminy, 09.06.2011:
  Compact center foliations.
• Seminaire Geometries et Systemes Dynamiques, Universite de Bourgogne, 14.10.2010:
  Center foliations with compact leaves.
• AG Dynamische Systeme, Universität Hamburg, 15.03.2010:
  Absolut stetige Zentrumsblätterungen von partiell hyperbolischen Diffeomorphismen,
• Graduate Dynamical Systems Seminar, Northwestern University, 12.11.2009:
  Absolutely continuous foliations and leaf spaces.
• AG Dynamische Systeme, Universität Hamburg, 08.01.2009:
  Ergodizität von Anosov-Diffeomorphismen.

Research interests:

• smooth dynamical systems, especially partially hyperbolic systems
• foliations, topology of foliations
• (smooth) ergodic theory
• measure theory
• philosophy of mathematics

PhD Thesis (2011):
"Partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy." (Thesis.pdf)

Diploma Thesis (german, 2008) supervised by Prof. Roland Gunesch (Department of Mathematics, University of Hamburg):
"Invariante Mannigfaltigkeiten und Blätterungen im Zusammenhang mit der globalen Dynamik von partiellen Differentialgleichungen" (Diplomarbeit.pdf)

Magister Thesis (german, 2006) supervised by Prof. Dr. Ulrich Gähde (Department of Philosophy, University of Hamburg):
"Von Elektronen und Jupitermonden: Versuch einer Grenzziehung zwischen Beobachtbarem und Unbeobachtbarem" (Magisterarbeit.pdf)