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Dr. Christoph Kawan

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Wiss. Angestellter

E-Mail: christoph.kawan@math.uni-augsburg.de
Telefon: +49 821 598 - 2244
Fax: +49 821 598 - 2193
Raum: 3034
Hausanschrift: Universitätsstr. 14
86159 Augsburg


Scientific CV: PDF

green_ball Areas of interest:

  • Qualitative theory of dynamical systems
  • Classification of dynamical systems
  • Nonlinear control theory

green_ball Publications:

  • Published Journal Articles:
    • On Expanding Maps and Topological Conjugacy, J. Difference Equ. Appl. 13, No. 8-9, 803-820 (2007). (to the article)
    • Invariance Entropy for Control Systems (with Fritz Colonius); SIAM J. Control Optim., 48, 3, 1701-1721 (2009). (to the article)
    • Lipschitz Conjugacy of Linear Flows (with Torben Stender); J. Lond. Math. Soc., II. Ser. 80, No. 3, 699-715 (2009). (to the article)
    • Upper and Lower Estimates for Invariance Entropy; Discrete Contin. Dyn. Syst., Vol. 30, 1, 169-186 (2011). (to the article)
    • Invariance Entropy for Outputs (with Fritz Colonius); Math. Control Signals Systems, 22, 3, 203-227 (2011). (to the article)
    • Invariance Entropy of Control Sets, SIAM J. Control Optim., 49, 2, 732-751 (2011). (to the article)
    • Lower Bounds for the Strict Invariance Entropy, Nonlinearity 24, 7, 1910-1936 (2011). (to the article)
    • On Topological Conjugacy of Left Invariant Flows on Semisimple and Affine Lie Groups (with Osvaldo do Rocio and Alexandre Santana), Proyecciones (Antofagasta) 30, 2, 175-188 (2011). (to the article)
    • Growth Rates for Semiflows on Hausdorff Spaces (with Torben Stender), Journal of Dynamics and Differential Equations 24, 2, 369-390 (2012). (to the article)
    • A Note on Topological Feedback Entropy and Invariance Entropy (with Fritz Colonius and Girish Nair). Systems & Control Letters 62, 377-381 (2013). (to the article)
  • Articles in Conference Proceedings:
    • Weak Invariance and Entropy (with Fritz Colonius); in: Proceedings of the Conference Mathematical Theory of Networks and Systems (Blacksburg, Virginia July 28-August 1 2008).
    • Invariance Entropy, PAMM Proc. Appl. Math. Mech. 11, 817–818 (2011). (to the article)
  • Submitted:
    • Metric Entropy of Nonautonomous Dynamical Systems. (to the arXiv preprint)
    • Topological Conjugacy of Real Projective Flows (with Victor Ayala).
  • To appear in the Springer Lecture Notes in Mathematics series:
    • Monograph: Minimal Data Rates for Invariance of Sets - An Introduction to Invariance Entropy for Finite-Dimensional Deterministic Systems.
  • Miscellaneous:
    • Nachweis topologischer Konjugiertheit mittels Fixpunktmethoden (diploma thesis), (PDF)
    • Numerische Berechnung von topologischer Entropie, (PDF1, PDF2)
    • Vorlesungsskript Numerik III (Computational Ergodic Theory) (PDF)
    • Invariance Entropy for Control Systems (doctoral thesis), (to the dissertation)
    • Topological Entropy - A Survey (PDF)
    • Topological Entropy and Symbolic Dynamical Systems (PDF)
    • A Note on Escape Rates (PDF)