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Chair of Dynamical Systems
Chair of Dynamical Systems

Dr. Jeremias Epperlein

  1. Jeremias Epperlein, Scott Schmieding.
    Hyperspatiality for isomorphisms of stabilized automorphism groups of shifts of finite type.
    accepted at Israel Journal of Mathematics, 2025.
    pdf-version
  2. Jeremias Epperlein.
    Lower bounds for the shadiness constant of finite-dimensional normed spaces.
    2025.
    pdf-version
  3. Jeremias Epperlein.
    Wagoner’s complexes revisited.
    2019.
    pdf-version .

  1. J. Epperlein.
    Eventual Conjugacy of Free Inert G-SFTs.
    Ergodic Theory and Dynamical Systems, 2026, to appear. https://doi.org/10.1017/etds.2026.10309
    pdf-version
  2. J. Epperlein, F. Wirth.
    Auerbach bases, projection constants, and the joint spectral radius of principal submatrices.
    SIAM Journal on Matrix Analysis and Applications, 47 (3), pp. 1029-1043, 2026.
    pdf-version
  3. J. Epperlein, F.Wirth.
    The joint spectral radius is pointwise Hölder continuous.
    Linear Algebra and its Applications, 704, pp. 92-122, 2025.
    pdf-version
  4. Epperlein J. and Meyerovitch T.
    Iterated Minkowski sums, horoballs and north-south dynamics.
    Groups, Geometry, and Dynamics, 17 (1), pp. 245-292, 2023.
    pdf
  5. V. Bürgin, J. Epperlein, F. Wirth.
    Remarks on the tail order on moment sequences.
    Journal of Mathematical Analysis and Applications, 512 (1), p. 126135, 2022.
    pdf-version
  6. Epperlein, J. and Švígler, V.
    On arbitrarily long periodic orbits of evolutionary games on graphs.
    Discrete and Continuous Dynamical Systems - Series B, 23, pp. 1895-1915, 2018.
  7. Epperlein, J., Siegmund, S., Stehlík, P., and Švígler, V.
    Coexistence equilibria of evolutionary games on graphs under deterministic imitation dynamics.
    Discrete and Continuous Dynamical Systems - Series B, 21, pp. 803-813, 2016.
  8. Do, A. L., Boccaletti, S., Epperlein, J., Siegmund, S., and Gross, T.
    Topological stability criteria for networking dynamical systems with Hermitian Jacobian.
    European Journal of Applied Mathematics, 27 (6), pp. 888-903, 2016.
  9. Epperlein, J., Siegmund, S., and Stehlík, P.
    Evolutionary games on graphs and discrete dynamical systems.
    Journal of Difference Equations and Applications, 21, pp. 72-95, 2015.
  10. Epperlein, J. and Siegmund, S.
    Phase-locked trajectories for dynamical systems on graphs.
    Discrete and Continuous Dynamical Systems - Series B, 18, pp. 1827-1844, 2013.
  11. Epperlein, J., Do, A. L., Gross, T., and Siegmund, S.
    Meso-scale obstructions to stability of 1d center manifolds for networks of coupled differential equations with symmetric Jacobian.
    Physica D: Nonlinear Phenomena, 261, p. 1-7, 2013.

  1. Jeremias Epperlein and Fabian Wirth
    The Moving-Average Region of Stability for Linear Systems
    Accepted at: 27th International Symposium on Mathematical Theory of Networks and Systems, Waterloo, August 2026.
  2. Jeremias Epperlein and Fabian Wirth
    The Joint Spectral Radius of Principal Submatrices
    In: 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, August 2024, pp. 1112-1115
    pdf
  3. Jeremias Epperlein and Fabian Wirth
    On Pointwise Hölder Continuity of the Joint Spectral Radius
    In: 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, August 2024, pp. 5-8
    pdf
  4. Epperlein, J., Kwietniak, D., and Oprocha, P.
    Mixing Properties in Coded Systems.
    In Pacifico, Maria José and Guarino, Pablo, Editors, New Trends in One-Dimensional Dynamics, Springer Proceedings in Mathematics & Statistics, pp. 183-200, Cham, 2019.
  5. Epperlein, J.
    Conjugacy of cellular automata on tori and surjectivity.
    Automata 2016 – 22nd International Workshop on Cellular Automata and Discrete Complex Systems, 2016.
  6. Epperlein, J.
    Classification of Elementary Cellular Automata Up to Topological Conjugacy.
    In Kari, Jarkko, Editor, Cellular Automata and Discrete Complex Systems, Lecture Notes in Computer Science, pp. 99-112. Springer Berlin Heidelberg, 2015.

  1. Epperlein, J.
    Topological Conjugacies Between Cellular Automata.
    Phd Thesis, TU Dresden, 2017.
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