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 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.