Dr. Christian Wolf

Research Interests: Ergodic theory and dynamical systems, computability theory, thermodynamic formalism, and applications to mathematical biology.

Author profile on MathSciNet

Research Description:

My research is in the area of ergodic theory and dynamical systems. 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 zero-temperature limits and of measures of maximal dimension, the computability of dynamically defined objects such as rotation sets, residual entropy and zero-temperature measures, and the application of the thermodynamic formalism to mathematical biology. 

Degree: Ph.D. in Mathematics, 1999, Department of Mathematics, Technical University of Munich, Germany

Selected Publications:

• Kucherenko, M. Schmoll and C. Wolf, Ergodic theory on coded shift spaces, Advances in Mathematics 457 (2024), Paper 109913, 43pp.

• 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.

• T. Kucherenko, A. Quas and C. Wolf, Multiple phase transitions on compact symbolic systems, Advances in Mathematics 385, 2021, 107768, 19 pages.

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

• 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.

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

• 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, Measures of maximal dimension for hyperbolic diffeomorphisms, Communications Math. Physics 239 (2003), 93-113.

• 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.