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Dr. Philipp Kunde

Fachbereich Mathematik Bereich DD Bundesstraße 55 (Geomatikum) 20146 Hamburg

Raum 205 Tel.: +49 40 42838-5153 Fax: +49 40 42838-5117 E-Mail: Philipp.Kunde (at) math.uni-hamburg.de

Since October 2014 I am a post-doc at the Mathematics Department, Center for Differential Equations and Dynamical Systems, of the University of Hamburg, under the supervision of Reiner Lauterbach.

Sprechstunden in der vorlesungsfreien Zeit:
nach Vereinbarung

Projects:

• MINTFIT: Head of Group eAssessment
• Online Mathematic Bridgecourse OMB+
• Workshop on Industrial and Applied Mathematics 2016: Member of the Organizing Committee and Scientific Committee.
• Hanseatic Dynamical Systems Days
• Arbeitskreis Digitale Mathematik-Aufgaben in der Hochschullehre

Research interests: Smooth Ergodic Theory, Symplectic Dynamics, Traffic Flow Modelling, Statistical mechanics of geophysical fluid systems

Publications:

• Combinatorial constructions in Smooth Ergodic Theory, PhD thesis.
• Uniform rigidity sequences of weak mixing diffeomorphisms, Journal of Mathematical Analysis and Applications, 429: 111-130, 2015.
• Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions, Journal of Modern Dynamics, 10: 439-481, 2016.
• Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric, Ergodic Theory&Dynamical Systems, 37 (5): 1547-1569, 2017.
• Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouvillean rotation behavior (joint work with Roland Gunesch), Journal of Discrete and Continuous Dynamical Systems A, 38 (4): 1615 - 1655, 2018.
• Further dense properties of the space of circle diffeomorphisms with a Liouville rotation number, to appear in Journal of Dynamics and Differential Equations.
• Uniform rigidity sequences of weakly mixing diffeomorphisms in higher dimensions, Journal of Mathematical Analysis and Applications, 462 (2): 1398-1424, 2018.
• Smooth zero-entropy diffeomorphisms with ergodic derivative extension, to appear in Commentarii Mathematici Helvetici.
• Real-analytic AbC constructions on the torus (joint work with Shilpak Banerjee), to appear in Ergodic Theory&Dynamical Systems.

Preprints:

• Weak mixing diffeomorphisms with ergodic derivative extension in higher dimensions.
• Natural measures of diffeomorphisms with arbitrary Liouvillean rotation number.
• Spectral disjointness of powers of diffeomorphisms with arbitrary Liouvillean rotation behavior.
• Real-analytic diffeomorphisms with homogeneous spectrum and disjointness of convolutions (joint work with Shilpak Banerjee).
• A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli (joint work with Marlies Gerber).

Hochschuldidaktische Publikationen:

• Praxiskurs Mathematik für Studierende der Ingenieurwissenschaften, PAradigma: Beiträge aus Forschung und Lehre aus dem Zentrum für Lehrerbildung, Fach- und Hochschuldidaktik (2011/12), 356-370, 2012.
• Kompetenzorientierung in der Studiengangsentwicklung am Beispiel eines fiktiven interdisziplinären Masterstudiengangs (mit Florian Drexler, Arnd Holdschlag, Joachim Laczny, Dirk Radtke), PAradigma: Beiträge aus Forschung und Lehre aus dem Zentrum für Lehrerbildung, Fach- und Hochschuldidaktik (2011/12), 418-454, 2012.