Department of Mathematics
Christian Wolf
 Position

Professor
Graduate Advisor
 cwolf@ccny.cuny.edu
 Office
 NAC 6/274
 Office hours
 Monday, 14.00 to 15.30, for other dates contact me by email
 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 and of maximal dimension, and the computability of dynamically defined objects such as rotation sets, residual entropy and zerotemperature measures.
Research papers
 (with M. Burr) Computability at zero temperature, preprint, August 2018, arXiv:1809.00147 [math.DS]
 A shift map with a discontinuous entropy function, preprint, March 2018, arXiv:1803.02440 [math.DS]
 (with Y. Yang) A topological classification of locally constant potentials via zerotemperature measures, Transactions of the AMS, to appear, arXiv:1804.07822 [math.DS]
 (with M. Burr and M. Schmoll) On the Computability of rotation sets and their entropies, Ergodic Theory and Dynamical Systems, Published Online First: 10 August 2018.
 (with T. Kucherenko) Ground states and zerotemperature measures at the boundary of rotation sets, Ergodic Theory and Dynamical Systems, Published Online First: 02 May 2017.
 (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) Entropy and rotation sets: A toymodel approach, Communications in Contemporary Mathematics, 18 (2016), 1550083, 23 pp.
 (with T. Kucherenko) Localized pressure and equilibrium states, Journal of Statistical Physics 160 (2015), 15291544.
 (with T. Kucherenko) The geometry and entropy of rotation sets, Israel Journal Math. 1999 (2014), 791829.
 Variation of topological pressure and dimension: From polynomials to complex Henon maps, Ergodic Theory Dynamical Systems 34 (2014), 10181036.
 On barycenter entropy for rational maps, Conformal Dynamics and Hyperbolic Geometry, 233244, Contemporary Mathematics, 573 AMS, Providence, RI, 2012.
 (with K. Gelfert) On the distribution of periodic orbits. Discrete Continous Dynamical Systems 26 (2010), no. 3, 949–966.
 (with W. Ingle and J.Kaufmann) Natural invariant measures, divergence points and dimension in onedimensional holomorphic dynamics. Ergodic Theory Dynamical Systems 29 (2009), no. 4, 1235–1255.
 (with M. Urbanski) Ergodic theory of parabolic horseshoes , Communications Math. Physics 281 (2008), no. 3, 711751.
 (with K. Gelfert) Topological pressure via periodic points, Transactions of the AMS 360 (2008), no. 1, 545561.
 (with L. Barreira) Dimension and ergodic decompositions for hyperbolic flows, Discrete and Continuous Dynamical Systems, Series A, 17 (2007), 201212.
 (with K. Gelfert) Topological pressure for onedimensional holomorphic dynamical systems, Bulletin of the Polish Academy of Sciences, Mathematics, 55 (2007), 5362.
 (with L. Barreira) Pointwise dimension and ergodic decompositions, Ergodic Theory and Dynamical Systems, 26 (2006), 653671.
 (with S. Hayes) Dynamics of a oneparameter family of Hénon maps, Dynamical Systems, 21 (2006), 399407.
 Generalized physical and SRB measures for hyperbolic diffeomorphisms, Journal of Statistical Physics 122 (2006), 11111138.
 (with R. Shafikov) Stable sets, hyperbolicity and dimension, Discrete and Continuous Dynamical Systems, Series A, 12 (2005), 403412.
 (with M. Urbanski) SRB measures for Axiom A endomorphisms, Mathematical Research Letters, 11 (2004), 785797.
 (with L. Barreira and L. Radu) Dimension of measures for suspension flows, Dynamical Systems, 19 (2004), 89107.
 (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 Mathematical Journal 51 (2003), no. 3, 631–649.
 On measures of maximal and full dimension for polynomial automorphisms of C^2, Transactions of the AMS, 355 (2003), 32273239.
 Hausdorff and topological dimension for polynomial automorphisms of C^2. Ergodic Theory Dynam. Systems 22 (2002), no. 4, 1313–1327.
 On the boxdimension of an invariant set, Nonlinearity, 14 (2001), 7379.
 (with Lafuma, R. Masse, M. Morin and Kellerer) Neutron RBE for the induction of tumors with high lethality in SpragueDawley rats, Radiation Research, 154 (2000), 412420.
 Dimension of Julia sets of polynomial automorphisms of C^2, Michigan Mathematical Journal, 47 (2000), 585600.