Department of Mathematics
Christian Wolf
 Position

Professor
 cwolf@ccny.cuny.edu
 Office
 NAC 6/274
 Office phone
 (212) 6505118
I studied mathematics and physics at the University of Munich in Germany. 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.
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), 93113.
 (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), 11111138.
 (with K. Gelfert) Topological pressure via periodic points, Trans. Amer. Math. Soc. 360 (2008), no. 1, 545561.
 (with M. Urbanski) Ergodic theory of parabolic horseshoes , Communications Math. Physics 281 (2008), no. 3, 711751.
 (with W. Ingle and J.Kaufmann) Natural invariant measures, divergence points and dimension in onedimensional 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.
 Variation of topological pressure and dimension: From polynomials to complex Henon maps, Ergodic Theory Dynam. Systems 34 (2014), 10181036.
 (with T. Kucherenko) The geometry and entropy of rotation sets,
Israel Journal Math. 1999 (2014), 791829.
 (with T. Kucherenko) Localized pressure and equilibrium states, Journal of Statistical Physics 160 (2015), 15291544.
 (with T. Kucherenko) Entropy and rotation sets: A toymodel approach, Communications in Contemporary Mathematics, to appear.
 (with S. Hayes) Diffeomorphisms with stable manifolds as basin boundaries, World Scientific, to appear.
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