Péter Koltai

1. Data-Driven Model Reduction and Transfer Operator Approximation
   2018/01/03 by Stefan Klus, Feliks Nüske, Péter Koltai +4 · 6 citations
2. Understanding the geometry of transport: Diffusion maps for Lagrangian trajectory data unravel coherent sets
   2017/02/22 by Ralf Banisch, Péter Koltai · 6 citations
   Computer Science · #Time Series Analysis and Forecasting #Topological and Geometric Data Analysis
3. Dimensionality Reduction of Complex Metastable Systems via Kernel\n Embeddings of Transition Manifolds
   2019/04/18 by Andreas Bittracher, Bittracher, Andreas, Stefan Klus +7 · 2 citations
   Computer Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Advanced Thermodynamics and Statistical Mechanics #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Model Reduction and Neural Networks
4. An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets
   2024/03/15 by Jason Atnip, Gary Froyland, Atnip, Jason +3 · 2 citations
   Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Diffusion and Search Dynamics #Quantum chaos and dynamical systems
5. Code accompanying "Learning interpretable collective variables for spreading processes on networks"
   2023/07/07 by Marvin Lücke, Stefanie Winkelmann, Lücke, Marvin +7 · 2 citations
   Economics, Econometrics and Finance · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Opinion Dynamics and Social Influence #Physics and Society (physics.soc-ph)
6. Large-scale flow in a cubic Rayleigh-Bénard cell: Long-term turbulence statistics and Markovianity of macrostate transitions
   2021/09/06 by Priyanka Maity, Péter Koltai, Maity, Priyanka +3 · 1 citation
   Engineering · Economics, Econometrics and Finance · Earth and Planetary Sciences · #Fluid Dynamics and Turbulent Flows #Complex Systems and Time Series Analysis #Meteorological Phenomena and Simulations
7. Diffusion maps embedding and transition matrix analysis of the\n large-scale flow structure in turbulent Rayleigh--B 'enard convection
   2018/12/20 by Péter Koltai, Koltai, Péter, Stephan Weiss +1 · 1 citation
   Computer Science · Engineering · Environmental Science · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Nonlinear Dynamics and Pattern Formation #Plant Water Relations and Carbon Dynamics
8. Multi-set spectral clustering of time-evolving networks using the supra-Laplacian
   2024/09/18 by Gary Froyland, Froyland, Gary, Manu Kalia +3 · 1 citation
   Computer Science · Physics and Astronomy · #Advanced Graph Neural Networks #Complex Network Analysis Techniques #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Neural Networks and Applications #Physics and Society (physics.soc-ph) #Social and Information Networks (cs.SI)
9. Structure theory of BV functions and finite perimeter sets on Riemannian manifolds
   2026/07/23 by Péter Koltai, Kathrin Völkner
   #math.DG #math.MG