Dr. Philipp Kunde

Currently, I am PI of the POLONEZ BIS Project (A)CID at Jagiellonian University in Krakow. Prior to that, I was an acting professor for Stochastic Dynamical Systems at UHH. Please also visit my new webpage.

Projects:

• Online Mathematic Bridgecourse OMB+
• 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, Extreme value theory in dynamics

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, Journal of Dynamics and Differential Equations, 30 (3): 1145 - 1160, 2018.
• Uniform rigidity sequences of weakly mixing diffeomorphisms in higher dimensions, Journal of Mathematical Analysis and Applications, 462 (2): 1398-1424, 2018.
• Real-analytic AbC constructions on the torus (joint work with Shilpak Banerjee), Ergodic Theory&Dynamical Systems, 39 (10): 2643-2688, 2019.
• Smooth zero-entropy diffeomorphisms with ergodic derivative extension, Commentarii Mathematici Helvetici, 95: 1-25, 2020.
• A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli (joint work with Marlies Gerber), Journal d'Analyse Mathematique, 141: 521-583, 2020.
• Shrinking targets and eventually always hitting points for interval maps (joint work with Maxim Kirsebom and Tomas Persson), Nonlinearity, 33 (2): 892-914, 2020.
• Spectral disjointness of powers of diffeomorphisms with arbitrary Liouvillean rotation behavior, Studia Mathematica 259: 271-304, 2021.
• Loosely Bernoulli Odometer-Based Systems Whose Corresponding Circular Systems Are Not Loosely Bernoulli (joint work with Marlies Gerber), to appear in an ETDS Memorial Issue for A. Katok.
• Real-analytic realization of Uniform Circular Systems and some applications (joint work with Shilpak Banerjee), to appear in Journal d'Analyse Mathematique.
• On shrinking targets and self-returning points (joint work with Maxim Kirsebom and Tomas Persson), to appear in Annali della Scuola Normale Superiore di Pisa.

Preprints:

• Weak mixing diffeomorphisms with ergodic derivative extension in higher dimensions.
• Natural measures of diffeomorphisms with arbitrary Liouvillean rotation number.
• Real-analytic diffeomorphisms with homogeneous spectrum and disjointness of convolutions (joint work with Shilpak Banerjee).
• Slow entropy of higher rank abelian unipotent actions (joint work with Adam Kanigowski, Kurt Vinhage, and Daren Wei).
• Slow entropy of some combinatorial constructions (joint work with Shilpak Banerjee and Daren Wei).
• Slow entropy for some Anosov-Katok diffeomorphisms (joint work with Shilpak Banerjee and Daren Wei).
• Anti-classification results for the Kakutani equivalence relation (joint work with Marlies Gerber).
• Dichotomy results for eventually always hitting time statistics and almost sure growth of extremes (joint work with Mark Holland, Maxim Kirsebom, and Tomas Persson).

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.
• Einführung in das Minisymposium Digitale Mathematik-Aufgaben in der Hochschullehre (mit Michael Kallweit und Mikko Vasko), Beiträge zum Mathematikunterricht 2018, WTM-Verlag, Münster, 1111-1114, 2018.
• Digitale Mathematik-Aufgaben in der Hochschullehre (mit Michael Kallweit und Mikko Vasko), Beiträge zum Mathematikunterricht 2018, WTM-Verlag, Münster, 95-96, 2018.

Former Projects:

• MINTFIT: Head of Group eAssessment
• Workshop on Industrial and Applied Mathematics 2016: Member of the Organizing Committee and Scientific Committee.