Department of Mathematics
Christian Wolf
 Position

Professor
Graduate Advisor
 cwolf@ccny.cuny.edu
 Office
 NAC 6/274
 Office hours
 Wednesday 4.005.30, or by appointment
 Office phone
 (212) 6505118
I am a professor of mathematics at The City College of New York and also a member of the doctoral faculty at the CUNY Graduate Center. From Fall 2012 to Spring 2016 I served as mathematics department chair at The City College. In addition to teaching, I enjoy mentoring students doing research and independent study projects.
My research is in the areas of dynamical systems and smooth ergodic theory. In particular, I am working on geometric, ergodic and dimension theoretical aspects of smooth and symbolic dynamical systems. This includes the dynamics on real manifolds (Axiom A, non uniformly hyperbolic and parabolic systems), shift spaces as well as on one and higher dimensional complex spaces. Recent research interests include the existence problem of zerotemperature limits, the computability of dynamically defined objects such as rotation sets and their entropies and quantization theory.
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, 18 (2016), 1550083, 23 pp.
 (with S. Hayes) Diffeomorphisms with stable manifolds as basin boundaries, Dynamical systems, number theory and applications, 99–112, World Sci. Publ., Hackensack, NJ, 2016.
 (with T. Kucherenko) Ground states and zerotemperature measures at the boundary of rotation sets, Ergodic Theory and Dynamical Systems, to appear.
 (with M. Burr and M. Schmoll) On the Computability of rotation sets and their entropies, arXiv:1706.07973.
 (with Y. Yang) A topological classification of locally constant potentials via zerotemperature measures, preprint. August 2017.
 A shift map with a discontinuous entropy function, preprint. March 2018
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