Preprints

• Convergence properties of dynamic mode decomposition for analytic interval maps (pdf), with E Akindji, J Slipantschuk and W Just
• Resonances for rational Anosov maps on the torus (pdf), with J Slipantschuk and W Just
• Lagrange approximation of transfer operators associated with holomorphic data (pdf), with J Slipantschuk
• Non-periodic not everywhere dense trajectories in triangular billiards (pdf), with J Slipantschuk and W Just, to appear in Trans. Am. Math. Soc.

Articles

• EDMD for expanding circle maps and their complex perturbations (pdf), with J Slipantschuk and W Just, Appl. Comput. Harmon. Anal. 73 (2024) 101690 (17 pages)
• A numerical study of rigidity of hyperbolic splittings in simple two-dimensional maps (pdf), with J Slipantschuk and W Just, Nonlinearity 37 (2024) 045007 (8 pages)
• Ray-Tracing the Ulam Way (pdf), with DJ Chappell, M Richter, G Tanner, W Just and J Slipantschuk, In: Constanda, C., Bodmann, B.E., Harris, P.J. (eds) Integral Methods in Science and Engineering. IMSE 2022. Birkhäuser, Cham (2023)
• Anomalous dynamics in symmetric triangular irrational billiards (pdf), with K Zahradova, J Slipantschuk and W Just, Physica D 445 (2023) 133619 (9 pages)
• New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spaces (pdf), with S Nivoche, J. Eur. Math. Soc. 24 (2022) 2493-2532
• Impact of symmetry on ergodic properties of triangular billiards (pdf), with K Zahradova, J Slipantschuk and W Just, Phys. Rev. E 105 (2022) L012201 (6 pages)
• Softening of the Euler buckling criterion under discretization of compliance (pdf), with DJ Carter, DJ Dunstan, W Just and A San-Miguel, Phys. Rev. Appl. 16 (2021) L051002 (5 pages)
• Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation (pdf), with A Pohl, T Schick and A Weiße, Stochastics and Dynamics 21 (2021) 2140005 (30 pages)
• Quantitative spectral perturbation theory for compact operators on a Hilbert space (pdf), with A Güven Sarıhan, Linear Algebra Appl. 610 (2021) 169-202
• Transfer operator approach to ray-tracing in circular domains (pdf), with J Slipantschuk, M Richter, DJ Chappell, G Tanner and W Just, Nonlinearity 33 (2020) 5773-5790
• Dynamic mode decomposition for analytic maps (pdf), with W Just and J Slipantschuk, Commun. Nonlinear Sci. Numer. Simulat. 84 (2020) 105179 (9pp)
• Lower bounds for the Ruelle spectrum of analytic expanding circle maps (pdf), with F Naud, Ergod. Th. & Dynam. Sys. 39 (2019) 289-310
• MazurkaBL: Score-aligned loudness, beat, and expressive markings data for 2000 Chopin Mazurka recordings (pdf), with K Kosta and E Chew, In: Proceedings of the 4th International Conference on Technologies for Music Notation and Representation (TENOR), Montreal, Canada, May 24-26, 2018
• Dynamics and relativity: Practical implications of dynamic markings in the score (pdf), with K Kosta and E Chew, Journal of New Music Research 47 (2018) 438-461
• Entropy-continuity for interval maps with holes (pdf), with HH Rugh, Ergod. Th. & Dynam. Sys. 38 (2018) 2036-2061
• Complete spectral data for analytic Anosov maps of the torus (pdf), with J Slipantschuk and W Just, Nonlinearity 30 (2017) 2667-2686
• Spectral structure of transfer operators for expanding circle maps (pdf), with J Slipantschuk and W Just, Ann. I.H. Poincaré - AN 34 (2017) 31-43
• Mapping between dynamic markings and performed loudness: A machine learning approach (pdf), with K Kosta, R Ramirez and E Chew, Journal of Mathematics and Music 10 (2016) 149-172
• A change-point approach towards representing musical dynamics, (doi) with K Kosta and E Chew; in Mathematics and Computation in Music, MCM 2015, T Collins, D Meredith and A Volk (eds) Lecture Notes in Computer Science, vol 9110, Cham, Springer, 2015
• Explicit upper bounds for the spectral distance of two trace class operators, (pdf), with A Güven, Linear Algebra Appl. 466 (2015) 329-342
• Eigenvalues of transfer operators for dynamical systems with holes (pdf), with O Jenkinson; in: Ergodic Theory, Open Dynamics, and Coherent Structures, W Bahsoun, C Bose, and G Froyland (eds), New York, Springer 2014
• Practical implications of dynamic markings in the score: Is piano always piano? with K Kosta and E Chew; in: Proceedings of the AES 53rd Conference on Semantic Audio, Jan 26-29, 2014, London, UK
• Periodic points, escape rates and escape maesures (pdf), with O Jenkinson and M Pollicott; in: Ergodic Theory, Open Dynamics, and Coherent Structures, W Bahsoun, C. Bose, and G Froyland (eds), New York, Springer 2014
• On correlation decay in low-dimensional systems (pdf), with J Slipantschuk and W Just, Europhysics Letters 104 (2013) 20004
• Analytic expanding circle maps with explicit spectra (pdf), with J Slipantschuk and W Just, Nonlinearity 26 (2013) 3231-3245
• On the relation between Lyapunov exponents and exponential decay of correlations (pdf), with J Slipantschuk and W Just, J. Phys. A: Math. Theor. 46 (2013) 075101 (16pp)
• Asymptotics of the Farey fraction spin chain free energy at the critical point, with T Prellberg, J Fiala, and P Kleban, J. Stat. Phys. 138 (2010) 447-464
• Eigenvalue decay of operators on harmonic function spaces (pdf), with Ch-H Chu, Bull. London Math. Soc. 41 (2009) 903-912
• On the Ruelle eigenvalue sequence (pdf), with O Jenkinson, Ergod. Th. & Dynam. Sys. 28 (2008) 1701-1711
• Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions (pdf), with O Jenkinson, Adv. Math. 218 (2008) 902-925
• Resolvent estimates for operators belonging to exponential classes (pdf), Integr. Equ. Oper. Theory 61 (2008) 21-43
• Explicit a priori bounds on transfer operator eigenvalues (pdf), with O Jenkinson, Comm. Math. Phys. 276 (2007) 901-905
• Invariant measures for real analytic expanding maps (pdf), with O Jenkinson, J. London Math. Soc. 75 (2007) 343-368
• Estimates for norms of resolvents and an application to the perturbation of spectra (pdf) (ps) (dvi), Math. Nachr. 267 (2004) 3-11
• On the existence of dynamical systems with exponentially decaying collision operators (pdf) (ps) (dvi), with PV Coveney, J. Phys. A: Math. Gen. 34 (2001) 4585-4599
• Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spaces (pdf) (ps) (dvi), with I Antoniou and Z Suchanecki, Computers Math. Appl. 34 (1997) 95-102
• Rigged Hilbert spaces for chaotic dynamical systems (pdf) (ps) (dvi), with I Antoniou, Z Suchanecki and S Tasaki, J. Math. Phys. 37 (1996) 5837-5847
• On the discrete time version of the Brussels formalism (pdf) (ps) (dvi), with PV Coveney, J. Phys. A: Math. Gen. 27 (1994) 7939-7955

last updated (OFB)