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Christian Wolf

Faculty and Staff Profiles

Christian Wolf

Professor

School/Division
Department
Office
North Academic Center 6/274
Phone Number: 
212-650-5118
Email: 
cwolf@ccny.cuny.edu
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Profile
Description: 

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.

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Education
Description: 

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

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Research Interests
Description: 

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.

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Publications
Description: 

 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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