267 citations · 1.1k across the 40 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
physics.flu-dyn2018
Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh--Bénard convection
Péter Koltai, Stephan Weiss
By utilizing diffusion maps embedding and transition matrix analysis we investigate sparse temperature measurement time-series data from Rayleigh--Bénard convection experiments in…
math.PR2018★ 9 cited
Fréchet differentiable drift dependence of Perron--Frobenius and Koopman operators for non-deterministic dynamics
Péter Koltai, Han Cheng Lie, Martin Plonka
We consider Perron-Frobenius and Koopman operators associated to time-inhomogeneous ordinary stochastic differential equations, and establish their Fréchet differentiability with r…
math.DS2018★ 32 cited
Optimal data-driven estimation of generalized Markov state models for non-equilibrium dynamics
Péter Koltai, Hao Wu, Frank Noé +1
There are multiple ways in which a stochastic system can be out of statistical equilibrium. It might be subject to time-varying forcing; or be in a transient phase on its way towar…