Christian Wolf

Position: Professor
Email: cwolf@ccny.cuny.edu
Office: MR 330
Office hours: By appointment.
Office phone: (212) 650-5173

I currently serve as the Executive Officer of the Ph.D. program in Mathematics at the CUNY Graduate Center. Please contact me at cwolf@gc.cuny.edu for all Graduate Center related inquiries.

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 2012 to 2016 and 2021 to 2022 I served as mathematics department chair at The City College. In addition to teaching, I enjoy mentoring students doing research and independent study projects.

Teaching

Research

Publications

T. Kucherenko, M. Schmoll and C. Wolf, Ergodic theory on coded shift spaces, Advances in Mathematics 457 (2024), Paper No. 109913, 43 pages.

M. Burr and C. Wolf, Computability in dynamical systems, AMS Contemporary Mathematics 797 (2024), 85-98.

M. Burr, S. Das, C. Wolf and Y. Yang, Computability of topological pressure on compact shift spaces beyond finite type, Nonlinearity 35 (2022), 4250-4282.

Y. L. Demetruis and C. Wolf, Directionality theory and the second law of thermodynamics, Physica A 598 (2022), Paper No. 127325, 23 pp.

M. He and C. Wolf, Entropy spectrum of rotation classes, Journal of Mathematical Analysis and Applications 508 (2022), 125851.

T. Kucherenko, A. Quas and C. Wolf, Multiple phase transitions on compact symbolic systems, Advances in Mathematics 385 (2021), 107768.

P. Javornik, J. Winter and C. Wolf, A horseshoe with a discontinuous entropy function, Journal of Mathematical Analysis and Applications 496 (2021), 124811.

M. Burr and C. Wolf, Computability at zero temperature, Nonlinearity 33 (2020), 6157-6175.

M. Burr, M. Schmoll and C. Wolf, On the computability of rotation sets and their entropies, Ergodic Theory and Dynamical Systems 40 (2020), 367-401.

C. Wolf, A shift map with a discontinuous entropy function, Discrete and Continuous Dynamical Systems 40 (2020), 319-329.

C. Wolf and Y. Yang, A topological classification of locally constant potentials via zero-temperature measures, Transactions of the AMS 372 (2019), 3113-3140.

T. Kucherenko and C. Wolf, Ground states and zero-temperature measures at the boundary of rotation sets, Ergodic Theory and Dynamical Systems 39 (2019), 201-224.

S. Hayes and C. Wolf, Diffeomorphisms with stable manifolds as basin boundaries, Dynamical systems, number theory and applications, 99–112, World Sci. Publ., Hackensack, NJ (2016).

T. Kucherenko and C. Wolf, Entropy and rotation sets: A toymodel approach, Communications in Contemporary Mathematics, 18 (2016), 1550083, 23 pp.

T. Kucherenko and C. Wolf, Localized pressure and equilibrium states, Journal of Statistical Physics 160 (2015), 1529-1544.

T. Kucherenko and C. Wolf, The geometry and entropy of rotation sets, Israel Journal Math. 1999 (2014), 791-829.

C. Wolf, Variation of topological pressure and dimension: From polynomials to complex Henon maps, Ergodic Theory Dynamical Systems 34 (2014), 1018-1036.

C. Wolf, On barycenter entropy for rational maps, Conformal Dynamics and Hyperbolic Geometry, 233-244, Contemporary Mathematics, 573 AMS, Providence, RI (2012).

K. Gelfert and C. Wolf, On the distribution of periodic orbits. Discrete Continuous Dynamical Systems 26 (2010), 949–966.

W. Ingle, J.Kaufmann and C. Wolf, Natural invariant measures, divergence points and dimension in one-dimensional holomorphic dynamics. Ergodic Theory Dynamical Systems 29 (2009), 1235–1255.

M. Urbanski and C. Wolf, Ergodic theory of parabolic horseshoes , Communications Math. Physics 281 (2008), 711--751.

K. Gelfert and C. Wolf, Topological pressure via periodic points, Transactions of the AMS 360 (2008), 545--561.

L. Barreira and C. Wolf, Dimension and ergodic decompositions for hyperbolic flows, Discrete and Continuous Dynamical Systems, Series A, 17 (2007), 201-212.

K. Gelfert and C. Wolf, Topological pressure for one-dimensional holomorphic dynamical systems, Bulletin of the Polish Academy of Sciences, Mathematics, 55 (2007), 53-62.

L. Barreira and C. Wolf, Pointwise dimension and ergodic decompositions, Ergodic Theory and Dynamical Systems, 26 (2006), 653-671.

S. Hayes and C. Wolf Dynamics of a one-parameter family of Hénon maps, Dynamical Systems, 21 (2006), 399-407.

C. Wolf, Generalized physical and SRB measures for hyperbolic diffeomorphisms, Journal of Statistical Physics 122 (2006), 1111-1138.

R. Shafikov and C. Wolf, Stable sets, hyperbolicity and dimension, Discrete and Continuous Dynamical Systems, Series A, 12 (2005), 403-412.

M. Urbanski and C. Wolf, SRB measures for Axiom A endomorphisms, Mathematical Research Letters, 11 (2004), 785-797.

L. Barreira, L. Radu and C. Wolf, Dimension of measures for suspension flows, Dynamical Systems, 19 (2004), 89-107.

L. Barreira and C. Wolf, Measures of maximal dimension for hyperbolic diffeomorphisms, Communications Math. Physics 239 (2003), 93-113.

R. Shafikov and C. Wolf, Filtrations, hyperbolicity, and dimension for polynomial automorphisms of C^n. Michigan Mathematical Journal 51 (2003), 631–649.

C. Wolf, On measures of maximal and full dimension for polynomial automorphisms of C^2, Transactions of the AMS, 355 (2003), 3227-3239.

C. Wolf, Hausdorff and topological dimension for polynomial automorphisms of C^2. Ergodic Theory Dynam. Systems 22 (2002), 1313–1327.

C. Wolf, On the box-dimension of an invariant set, Nonlinearity, 14 (2001), 73-79.

C. Wolf, Lafuma, R. Masse, M. Morin and A. Kellerer, Neutron RBE for the induction of tumors with high lethality in Sprague-Dawley rats, Radiation Research, 154 (2000), 412-420.

C. Wolf, Dimension of Julia sets of polynomial automorphisms of C^2, Michigan Mathematical Journal, 47 (2000), 585-600.

Research Presentations

Computability in complex dynamics, Central AMS Sectional Meeting, Special Session on Panorama of Holomorphic Dynamics, Milwaukee, WI, April 2024.

Measures of maximal entropy for symbolic systems beyond SFT, Conformal Dynamics and Groups Seminar, Peking University, China, March 2024.

Ergodic theory on coded shift spaces, Ergodic Theory and Dynamical Systems Seminar, CUNY Graduate Center, NY, February 2024.

Ergodic theory on coded shift spaces, Mike's Fest, From Dynamics to Complexity and Back, University of Montevideo, Uruguay, February 2024.

Ergodic theory on coded shift spaces, Ergodic Theory and Dynamical Systems Seminar, University of Warwick, UK, December 2023.

Ergodic theory on coded shift spaces, Fall Southeastern AMS Sectional Meeting, Special Session on Fractal Geometry and Dynamical Systems, Mobile, AL, October 2023.

Ergodic theory of coded shift spaces, AIMS Differential Equations and Dynamical Systems Conference, Wilmington, NC, June 2023.

Symbolic dynamics beyond SFT: coded systems, entropy and equilibrium states, Complex Analysis and Dynamical Systems Seminar, CUNY Graduate Center, October 2022.

Computability in dynamical systems, Geometry of Deterministic and Random Fractals Conference, Technical University of Budapest, June 2022.

Computability in dynamical systems, AMS Spring Western Sectional Meeting (Virtual), Special Session on Fractal Geometry and Dynamical Systems, May 2022.

Computability of topological pressure on compact shift spaces beyond finite type, Ergodic Theory Seminar, Ohio State University, September 2021.

Geometry and computability of zero-temperature measures, The 9th Visegrad Conference Dynamical Systems, Prague, June 2021.

Computability of topological pressure on compact shift spaces beyond finite type, Joint Mathematics Meeting, AMS Special Session on Quantization for Probability Distributions and Dynamical Systems, January 2021.

Computability of topological pressure on compact shift spaces beyond finite type, Dynamical Systems Seminar, Jagiellonian University in Krakow, December 2020.

Computability of topological pressure on compact shift spaces beyond finite type, Dynamics and Computations Seminar, Uppsala University, November 2020.

Computability of topological pressure on compact shift spaces beyond finite type, Dyn-Sys-zoominar , University of Porto, November 2020.

Computability of Rotation sets and their entropies, Analysis Seminar, Virginia Tech, November 2019.

Geometry and computability at zero temperature, Ergodic Theory and related Fields Conference, Bucharest, Romania, October 2019.

Computability of Thermodynamic invariants on shift spaces beyond SFTS, Millican Colloquium, University of North Texas, September 2019.

Geometry and computability at zero temperature, Dynamics of (Semi-)Group Actions Conference, Lodz, Poland, July 2019.

Geometry and computability at zero temperature, 8th Visegrad Conference on Dynamical Systems, Budapest, Hungary, June 2019.

Pressure and dimension: From polynomials to hyperbolic and parabolic Henon maps, Special Session on Constructive Aspects of Complex Analysis, AMS Sectional Meeting, Honolulu, HI, March 2019.

A topological classification of locally constant potentials via zero-temperature measures, Complex Analysis and Dynamics Seminar, CUNY Graduate Center, New York, NY, January 2019.

Computability at zero temperature, Thirteenth International Conference on Computability, Complexity and Randomness, Santiago, Chile, December 2018.

Computability at zero temperature, Special Session on Statistical and Geometrical Properties of Dynamical Systems, AMS Sectional Meeting, San Francisco, CA, October 2018.

Computability at zero temperature, Complex Analysis and Dynamics Seminar, CUNY Graduate Center, New York, NY, October 2018.

Regularity of the localized entropy function, Complex Analysis and Dynamics Seminar, CUNY Graduate Center, New York, NY, April, 2018.

Computability of thermodynamic invariants: pressure, entropy and zero-temperature measures, Algorithmic Questions in Dynamical Systems Workshop, Institut de Mathematiques de Toulouse, Toulouse France, March 2018.

Zero-temperature measures, entropy and rotation sets, Spring Topology and Dynamical Systems Conference, Auburn, AL, March 2018.

Zero-temperature measures, entropy and rotation sets, Dynamical Systems Seminar, University of Toronto, Canada, January 2018.

Measures of maximal dimension for surface diffeomorphisms: Old and New, Dynamical Systems Seminar, CUNY Graduate Center, NY, November 2017.

On the computability of rotation sets and their entropies, Special Session on Fractal Geometry, Dynamical Systems, and their Applications, AMS Sectional Meeting, Orlando, FL, September 2017.

On the computability of rotation sets and their entropies, Special Session on Dynamics, Geometry and Number Theory, AMS Sectional Meeting, Denton, TX, September 2017.

On computability of rotation sets and their entropy, Dynamical Systems Seminar, Stonybrook University, NY, May 2017.

On computability of rotation sets and their entropy, Analysis Seminar, Clemson University, SC, April 2017.

Ground states and zero-temperature measures at the boundary of rotation sets, Carolina Dynamics Symposium, University of North Carolina, Charlotte, NC, April 2017.

Entropy of Rotation Classes, Dynamical Systems Session, 51st Spring Topology and Dynamical Systems Conference, Jersey City, NJ, March 2017.

Geometric properties of ground state rotation vectors, Physics Colloquium, The City College of New York, New York, NY, February 2017.

Are rotation sets and localized entropies computable?, Ergodic Theory and Dynamical Systems Session, Joint Mathematics Meeting, Atlanta, GA, January 2017.

Ground states, mutual ergodic optimization and rotation sets, Dynamical Methods in Open Quantum Systems Workshop, Goettingen, Germany, November 2016.

Ground states and mutual ergodic optimization, Complex Analysis and Dynamics Seminar, CUNY Graduate Center, NY, November 2016.

Ground states at the boundary of rotation Sets, Lecture Series in Mathematical Sciences, Wichita State University, KS, September 2016.

On zero temperature measures, Special Session on Invariant Measures of Dynamical Systems, AMS Sectional Meeting, Athens, GA, April 2016.

Localized equilibrium states and rotation sets, 49th Spring Topology and Dynamics Conference, Bowling Green, OH, May 2015.

Localized pressure and equilibrium states, Logic, Dynamics and their Interactions Conference, Denton, TX, June 2014.

Localized pressure and equilibrium states, Dynamical Systems Seminar, Penn State University, State College, PA, April 2014.

Classes

Christian Wolf is not teaching in Fall 2024.

Past teaching

Programs

General