Dr. Raphael Gerlach
Academic Councillor for a Limited Period
- Office Address:
-
Technologiepark 21
33100 Paderborn - Room:
- TP21.1.25
- Office hours:
By appointment
About Raphael Gerlach
Curriculum Vitae
Since 01.04.2022: Managing Director
Institute of Industrial Mathematics (IFIM), Paderborn University
13.01.2017 - 31.03.2022: Research Assistant
Chair of Applied Mathematics, Paderborn University
03.12.2021: PhD-Thesis
Title: "The Computation and Analysis of Invariant Sets in Infinite-Dimensional Systems",
Supervision: Prof. Dr. Michael Dellnitz, Paderborn University
Research
Research Interests
- Computational Dynamics: Attractor & Manifold Approximation, Set-Oriented Numerics, Numerical Analysis
- Distributed Dynamical Systems: Distributed Computing, Swarm Algorithms and Robots, Multi-Agent Systems
- Data Science: Manifold Learning Techniques, Dimensionality Reduction, Intrinsic Coordinates, Harmonic Analysis
- Embedding Theory: Delay Embeddings, Embeddings of Finite-Dimensional Sets of Banach Spaces, Genericity
Publications
Latest Publications
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, ArXiv:2409.19277 (n.d.).
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
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