Dr Oscar Bandtlow
Reader in Mathematics
Director of Postgraduate Taught Studies
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
dynamical systems, ergodic theory, operator theory, spectral theory, non-equilibrium statistical mechanics
Interests
Interested in functional analysis and its applications to dynamical systems and statistical mechanics. A particular concern is to develop methods from operator theory to study the probabilistic behaviour of chaotic dynamical systems.Publications
Publications of specific relevance to the Centre for Complex Systems2024
Bandtlow OF, Just W and Slipantschuk J (2024). EDMD for expanding circle maps and their complex perturbations. Applied and Computational Harmonic Analysis, Elsevier vol. 73 01-11-2024
Slipantschuk J, Bandtlow OF and Just W (2024). Non-periodic not everywhere dense trajectories in triangular billiards. Transactions of the American Mathematical Society, American Mathematical Society (AMS) vol. 378 (01), 375-388. 25-10-2024
Slipantschuk J, Bandtlow OF and Just W (2024). Non-periodic not everywhere dense trajectories in triangular billiards. 25-06-2024
Bandtlow OF, Just W and Slipantschuk J (2024). A numerical study of rigidity of hyperbolic splittings in simple two-dimensional maps. Nonlinearity, IOP Publishing vol. 37 (4) 04-03-2024
2023
Chappell DJ, Richter M, Tanner G, Bandtlow OF, Just W and Slipantschuk J (2023). Ray-Tracing the Ulam Way. IMSE 2022. 01-11-2023
Zahradova K, Slipantschuk J, Bandtlow OF and Just W (2023). Anomalous dynamics in symmetric triangular irrational billiards. Physica D: Nonlinear Phenomena vol. 445 01-03-2023
2022
Zahradova K, Slipantschuk J, Bandtlow O and Just W (2022). Anomalous dynamics in symmetric triangular irrational billiards. Physica D: Nonlinear Phenomena, Elsevier 23-12-2022
Zahradova K, Slipantschuk J, Bandtlow O and Just W (2022). Impact of symmetry on ergodic properties of triangular billiards. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, American Physical Society 18-01-2022
2021
Carter DJ, Dunstan DJ, Just W, Bandtlow OF and San-Miguel A (2021). Softening of the Euler Buckling Criterion under Discretization of Compliance. Physical Review Applied, American Physical Society vol. 16 (4), l051002-l051002. 10-11-2021
Carter D, Dunstan D, Just W, Bandtlow O and San-Miguel A (2021). Softening of the Euler buckling criterion under discretization of compliance. Physical Review Applied, American Physical Society 10-11-2021
Bandtlow O and Nivoche S (2021). New solution of a problem of Kolmogorov on width asymptotics in
holomorphic function spaces. Journal of the European Mathematical Society, European Mathematical Society 25-10-2021
Slipantschuk J, Richter M, Chappell DJ, Tanner G, Just W and Bandtlow O (2021). Transfer operator approach to ray-tracing in circular domains. Nonlinearity, IOP Publishing 30-09-2021
2020
GUVEN A and Bandtlow O (2020). Quantitative spectral perturbation theory for compact operators on a Hilbert space. Linear Algebra and Its Applications, Elsevier 06-10-2020
Bandtlow O, Pohl A, Schick T and Weisse A (2020). Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation. Stochastics and Dynamics, World Scientific Publishing 28-08-2020
Slipantschuk J, Bandtlow OF and Just W (2020). Dynamic mode decomposition for analytic maps. Communications in Nonlinear Science and Numerical Simulation, Elsevier BV, 105179-105179. 09-01-2020
2018
Kosta K, Ramírez-Melendez R, Bandtlow OF and Chew E (2018). Mapping between dynamic markings and performed loudness: a machine learning approach. Machine Learning and Music Generation 63-86. 16-10-2018
Kosta K, BANDTLOW OF and CHEW E (2018). Dynamics and Relativity: Practical Implications of Dynamic
Markings in the Score. Journal of New Music Research, Taylor & Francis (Routledge) vol. 47, 438-461. 28-06-2018
2017
Slipantschuk J, BANDTLOW OF and Just W (2017). Complete spectral data for analytic Anosov maps of the torus. Nonlinearity, IOP Publishing vol. 30, 2667-2686. 23-05-2017
BANDTLOW OF and Naud F (2017). Lower bounds for the Ruelle spectrum of analytic expanding circle maps. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP) vol. 39, 289-310. 04-05-2017
BANDTLOW OF and Rugh HH (2017). Entropy-continuity of interval maps with holes. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP): STM Journals 24-01-2017
Bandtlow OF, Just W and Slipantschuk J (2017). Spectral structure of transfer operators for expanding circle maps. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire vol. 34 (1), 31-43. 01-01-2017
2016
GUVEN A (2016). Quantitative Perturbation Theory for Compact Operators on a Hilbert Space., Editors: Bandtlow O and Chu C. 17-08-2016
Kosta K, Ramirez R, Bandtlow OF and Chew E (2016). Mapping between dynamic markings and performed loudness: A machine learning approach., Editors: Fiore T. Journal of Mathematics and Music, Taylor & Francis: STM, Behavioural Science and Public Health Titles vol. 10, 149-172. 03-08-2016
2015
Kosta K, Bandtlow OF and Chew E (2015). A Change-Point Approach Towards Representing Musical Dynamics. 01-01-2015
2014
Bandtlow OF and Güven A (2014). Explicit upper bounds for the spectral distance of two trace class operators. Linear Algebra and Its Applications vol. 466, 329-342. 29-10-2014
Kosta K, Bandtlow OF and Chew E (2014). Practical implications of dynamic markings in the score: Is piano always piano? 01-01-2014
Bandtlow OF and Jenkinson O (2014). Chapter 2 Eigenvalues of Transfer Operators for Dynamical Systems with Holes. 31-39. 01-01-2014
Bandtlow OF, Jenkinson O and Pollicott M (2014). Chapter 3 Periodic Points, Escape Rates and Escape Measures. 41-58. 01-01-2014
2013
Slipantschuk J, Bandtlow OF and Just W (2013). On the relation between Lyapunov exponents and exponential decay of correlations. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL vol. 46 (7) 01-01-2013
Slipantschuk J, Bandtlow OF and Just W (2013). Analytic expanding circle maps with explicit spectra. NONLINEARITY vol. 26 (12), 3231-3245. 01-01-2013
Slipantschuk J, Bandtlow OF and Just W (2013). On correlation decay in low-dimensional systems. EPL vol. 104 (2) 01-01-2013
2009
Bandtlow OF and Chu CH (2009). Eigenvalue decay of operators on harmonic function spaces. B LOND MATH SOC vol. 41, 903-915. 01-10-2009
Bandtlow OF, Fiala J, Kleban P and Prellberg T (2009). Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical
Point. 15-09-2009
2008
Bandtlow OF and Jenkinson O (2008). On the Ruelle eigenvalue sequence. ERGOD THEOR DYN SYST, Cambridge Journals online vol. 28 (6), 1701-1711. 01-12-2008
Bandtlow OE and Jenkinson O (2008). Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions. ADV MATH, Elsevier/Science Direct vol. 218 (3), 902-925. 20-06-2008
Bandtlow OF (2008). Resolvent estimates for operators belonging to exponential classes. INTEGR EQUAT OPER TH vol. 61 (1), 21-43. 01-05-2008
2007
Bandtlow OF and Jenkinson O (2007). Explicit a priori bounds on transfer operator eigenvalues. COMMUN MATH PHYS vol. 276 (3), 901-905. 01-12-2007
Bandtlow OF and Jenkinson O (2007). Invariant measures for real analytic expanding maps. J LOND MATH SOC vol. 75, 343-368. 01-04-2007
2004
Bandtlow OF (2004). Estimates for norms of resolvents and an application to the perturbation of spectra. MATH NACHR vol. 267, 3-11. 01-01-2004
2001
Bandtlow OF and Coveney PV (2001). On the existence of dynamical systems with exponentially decaying collision operators. J PHYS A-MATH GEN vol. 34 (22), 4585-4599. 08-06-2001
1997
Bandtlow OF, Antoniou I and Suchanecki Z (1997). Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spaces. Computers & Mathematics with Applications, Elsevier vol. 34 (2-4), 95-102. 01-07-1997
1996
Suchanecki Z, Antoniou I, Tasaki S and Bandtlow OF (1996). Rigged Hilbert spaces for chaotic dynamical systems. Journal of Mathematical Physics, AIP Publishing vol. 37 (11), 5837-5847. 01-11-1996
1994
Bandtlow OF and Coveney PV (1994). On the discrete time version of the Brussels formalism. Journal of Physics A: Mathematical and Theoretical, IOP Publishing vol. 27 (24) 21-12-1994
Grants
Grants of specific relevance to the Centre for Complex SystemsVisitor Prof Stéphanie NivocheOscar Bandtlow
£1,050 London Mathematical Society (LMS) (01-01-2024 - 31-03-2024)
Transfer operator methods for modelling high-frequency wave fields - advancements through modern functional and numerical analysisOscar Bandtlow
£333,070 EPSRC Engineering and Physical Sciences Research Council (01-02-2018 - 31-10-2021)