Convergence properties of dynamical mode decomposition for analytic interval maps
E.Akindji, J. Slipantschuk, O.F. Bandtlow, W.Just.
arXiv preprint, arXiv:2404.08512, 2024.
Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map
M. Pollicott, J. Slipantschuk.
Nonlinearity 37(9), 2024.
A numerical study of rigidity of hyperbolic splittings in simple two-dimensional maps
O. F. Bandtlow, W. Just, J. Slipantschuk.
Nonlinearity 37(4), 2024.
EDMD for expanding circle maps and their complex perturbations
O. F. Bandtlow, W. Just, J. Slipantschuk.
Applied and Computational Harmonic Analysis 73, 2024.
Non-periodic not everywhere dense trajectories in triangular billiards
J. Slipantschuk, O. F. Bandtlow, W. Just.
to appear in Transactions of the American Mathematical Society, 2024.
See also this related article in the Plus magazine.
Sierpiński fractals and the dimension of their Laplacian spectrum
M. Pollicott, J. Slipantschuk.
Mathematical and Computational Applications 28(3), 2023.
Anomalous dynamics in symmetric triangular irrational billiards
K. Zahradova, J. Slipantschuk, O. F. Bandtlow, W. Just.
Physica D: Nonlinear Phenomena 445, 2023.
Resonances for rational Anosov maps on the torus
J. Slipantschuk, O. F. Bandtlow, W. Just.
arXiv preprint, arXiv:2211.05925, 2022.
Impact of symmetry on ergodic properties of triangular billiards
K. Zahradova, J. Slipantschuk, O. F. Bandtlow, W. Just.
Physical Review E 105, 2022.
Transfer operator approach to ray-tracing in circular domains
J. Slipantschuk, M. Richter, D. J. Chappell, G. Tanner, W. Just, O. F. Bandtlow.
Nonlinearity 33(11), 2020.
Dynamic mode decomposition for analytic maps
J. Slipantschuk, O. F. Bandtlow, W. Just.
Communications in Nonlinear Science and Numerical Simulation 84, 2020.
Lagrange approximation of transfer operators associated with holomorphic data
O. F. Bandtlow, J. Slipantschuk.
arXiv preprint, arXiv:2004.03534, 2020.
Spectral structure of transfer operators for expanding circle maps
O. F. Bandtlow, W. Just, J. Slipantschuk.
Annales de l’Institut Henri Poincare C, Analyse non lineaire 34(1), 2017.
Complete spectral data for analytic Anosov maps of the torus
J. Slipantschuk, O. F. Bandtlow, W. Just.
Nonlinearity 30(7), 2017.
Correlation spectrum for expanding maps and its relation to dynamical sensitivity
PhD thesis, 2014.
On correlation decay in low-dimensional systems
J. Slipantschuk, O. F. Bandtlow, W. Just.
Europhysics Letters 104(2), 2013.
Analytic expanding circle maps with explicit spectra
J. Slipantschuk, O. F. Bandtlow, W. Just.
Nonlinearity 26(12), 2013.
On the relation between Lyapunov exponents and exponential decay of correlations
J. Slipantschuk, O. F. Bandtlow, W. Just.
Journal of Physics A: Mathematical and Theoretical 46, 2013.
Abundance of stable periodic behavior in a Red Grouse population model with delay: A consequence of homoclinicity
J. Slipantschuk, E. Ullner, M. da Silva Baptista, M. Zeineddine, M. Thiel.
Chaos 20, 2010.