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Christian Wolf

Faculty and Staff Profiles

Christian Wolf


North Academic Center 6/274
Phone Number: 

After my PhD at the Technical University of Munich (1999), I taught at Indiana University, Bloomington from 1999 through 2001, and spend the year of 2002 at the Technical University of Lisbon. In the Spring of 2003 I joined Wichita State University in Kansas where I stayed until Spring 2010. Finally, in Fall of 2010, I arrived at the City College.


I studied mathematics and physics at the University of Munich in Germany. I then received my PhD at the Technical University of Munich (1999)

Research Interests

My research is in the area of dynamical systems, essentially the mathematics of systems which change under evolution of time. In particular, I am working on geometric, ergodic- and dimension theoretical aspects of smooth dynamical systems. This includes the dynamics on real manifolds (Axiom A, non- uniformly hyperbolic and parabolic systems) as well as on one- and higher dimensional complex spaces. In my work I combine tools from several areas of mathematics such as ergodic theory, real and complex analysis, geometry, dimension theory and the thermodynamic formalism.


 Selected Publications


  • Hausdorff and topological dimension for polynomial automorphisms of C^2. Ergodic Theory Dynam. Systems 22 (2002), no. 4, 1313–1327.
  • (with L. Barreira) Measures of maximal dimension for hyperbolic diffeomorphisms, Communications Math. Physics 239 (2003), 93-113.
  • (with R. Shafikov) Filtrations, hyperbolicity, and dimension for polynomial automorphisms of C^n. Michigan Math. J. 51 (2003), no. 3, 631–649.
  • Generalized physical and SRB measures for hyperbolic diffeomorphisms, Journal of Statistical Physics 122 (2006), 1111-1138.
  • (with K. Gelfert) Topological pressure via periodic points, Trans. Amer. Math. Soc. 360 (2008), no. 1, 545--561.
  • (with M. Urbanski) Ergodic theory of parabolic horseshoes , Communications Math. Physics 281 (2008), no. 3, 711--751.
  • (with W. Ingle and J.Kaufmann) Natural invariant measures, divergence points and dimension in one-dimensional holomorphic dynamics. Ergodic Theory Dynam. Systems 29 (2009), no. 4, 1235–1255.
  • (with K. Gelfert) On the distribution of periodic orbits. Discrete Contin. Dyn. Syst. 26 (2010), no. 3, 949–966.


New Papers


  • On barycenter entropy for rational maps. Contemp. Math. 573 (2012) 233-244.
  • Variation of topological pressure and dimension: From polynomials to complex Henon maps, Ergodic Theory Dynam. Systems 34 (2014), 1018-1036.
  • (with T. Kucherenko) The geometry and entropy of rotation sets, Israel Journal Math. 1999 (2014), 791-829.
  • (with T. Kucherenko) Localized pressure and equilibrium states, preprint.
  • (with S. Hayes) Diffeomorphisms with stable manifolds as basin boundaries, preprint.
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