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
EDMD for expanding circle maps and their complex perturbationsBandtlow OF, Just W and Slipantschuk J
Applied and Computational Harmonic Analysis, Elsevier vol. 73
01-11-2024
Non-periodic not everywhere dense trajectories in triangular billiardsSlipantschuk J, Bandtlow OF and Just W
Transactions of The American Mathematical Society, American Mathematical Society (Ams) vol. 378 (01), 375-388.
25-10-2024
Non-periodic not everywhere dense trajectories in triangular billiardsSlipantschuk J, Bandtlow OF and Just W
25-06-2024
A numerical study of rigidity of hyperbolic splittings in simple two-dimensional mapsBandtlow OF, Just W and Slipantschuk J
Nonlinearity, Iop Publishing vol. 37 (4)
04-03-2024
2023
Ray-Tracing the Ulam WayChappell DJ, Richter M, Tanner G, Bandtlow OF, Just W and Slipantschuk J
IMSE 2022.
01-11-2023
Anomalous dynamics in symmetric triangular irrational billiardsZahradova K, Slipantschuk J, Bandtlow OF and Just W
Physica D: Nonlinear Phenomena vol. 445
01-03-2023
2022
Anomalous dynamics in symmetric triangular irrational billiardsZahradova K, Slipantschuk J, Bandtlow O and Just W
Physica D: Nonlinear Phenomena, Elsevier
23-12-2022
Impact of symmetry on ergodic properties of triangular billiardsZahradova K, Slipantschuk J, Bandtlow O and Just W
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, American Physical Society
18-01-2022
2021
Softening of the Euler Buckling Criterion under Discretization of ComplianceCarter DJ, Dunstan DJ, Just W, Bandtlow OF and San-Miguel A
Physical Review Applied, American Physical Society vol. 16 (4), l051002-l051002.
10-11-2021
Softening of the Euler buckling criterion under discretization of complianceCarter D, Dunstan D, Just W, Bandtlow O and San-Miguel A
Physical Review Applied, American Physical Society
10-11-2021
New solution of a problem of Kolmogorov on width asymptotics in
holomorphic function spacesBandtlow O and Nivoche S
Journal of The European Mathematical Society, European Mathematical Society
25-10-2021
Transfer operator approach to ray-tracing in circular domainsSlipantschuk J, Richter M, Chappell DJ, Tanner G, Just W and Bandtlow O
Nonlinearity, Iop Publishing
30-09-2021
2020
Quantitative spectral perturbation theory for compact operators on a Hilbert spaceGUVEN A and Bandtlow O
Linear Algebra and Its Applications, Elsevier
06-10-2020
Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximationBandtlow O, Pohl A, Schick T and Weisse A
Stochastics and Dynamics, World Scientific Publishing
28-08-2020
Dynamic mode decomposition for analytic mapsSlipantschuk J, Bandtlow OF and Just W
Communications in Nonlinear Science and Numerical Simulation, Elsevier Bv, 105179-105179.
09-01-2020
2018
Mapping between dynamic markings and performed loudness: a machine learning approachKosta K, Ramírez-Melendez R, Bandtlow OF and Chew E
In Machine Learning and Music Generation, Taylor & Francis 63-86.
16-10-2018
Dynamics and Relativity: Practical Implications of Dynamic
Markings in the ScoreKosta K, BANDTLOW OF and CHEW E
Journal of New Music Research, Taylor & Francis (Routledge) vol. 47, 438-461.
28-06-2018
2017
Complete spectral data for analytic Anosov maps of the torusSlipantschuk J, BANDTLOW OF and Just W
Nonlinearity, Iop Publishing vol. 30, 2667-2686.
23-05-2017
Lower bounds for the Ruelle spectrum of analytic expanding circle mapsBANDTLOW OF and Naud F
Ergodic Theory and Dynamical Systems, Cambridge University Press (Cup) vol. 39, 289-310.
04-05-2017
Entropy-continuity of interval maps with holesBANDTLOW OF and Rugh HH
Ergodic Theory and Dynamical Systems, Cambridge University Press (Cup): Stm Journals
24-01-2017
Spectral structure of transfer operators for expanding circle mapsBandtlow OF, Just W and Slipantschuk J
Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire vol. 34 (1), 31-43.
01-01-2017
2016
Quantitative Perturbation Theory for Compact Operators on a Hilbert SpaceGUVEN A
Editors: Bandtlow O and Chu C.
17-08-2016
Mapping between dynamic markings and performed loudness: A machine learning approachKosta K, Ramirez R, Bandtlow OF and Chew E
Journal of Mathematics and Music, Taylor &Amp; Francis: Stm, Behavioural Science and Public Health Titles vol. 10, 149-172. Editors: Fiore T.
03-08-2016
2015
A Change-Point Approach Towards Representing Musical DynamicsKosta K, Bandtlow OF and Chew E
Lecture Notes in Computer Science. vol. 9110, 179-184.
01-01-2015
2014
Explicit upper bounds for the spectral distance of two trace class operatorsBandtlow OF and Güven A
Linear Algebra and Its Applications vol. 466, 329-342.
29-10-2014
Practical implications of dynamic markings in the score: Is piano always piano?Kosta K, Bandtlow OF and Chew E
Proceedings of the AES International Conference., 22-31.
01-01-2014
Chapter 2 Eigenvalues of Transfer Operators for Dynamical Systems with HolesBandtlow OF and Jenkinson O
31-39.
01-01-2014
Chapter 3 Periodic Points, Escape Rates and Escape MeasuresBandtlow OF, Jenkinson O and Pollicott M
41-58.
01-01-2014
2013
On the relation between Lyapunov exponents and exponential decay of correlationsSlipantschuk J, Bandtlow OF and Just W
Journal of Physics a-Mathematical and Theoretical vol. 46 (7)
01-01-2013
Analytic expanding circle maps with explicit spectraSlipantschuk J, Bandtlow OF and Just W
Nonlinearity vol. 26 (12), 3231-3245.
01-01-2013
On correlation decay in low-dimensional systemsSlipantschuk J, Bandtlow OF and Just W
Epl vol. 104 (2)
01-01-2013
2009
Eigenvalue decay of operators on harmonic function spacesBandtlow OF and Chu CH
B Lond Math Soc vol. 41, 903-915.
01-10-2009
Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical
PointBandtlow OF, Fiala J, Kleban P and Prellberg T
15-09-2009
2008
On the Ruelle eigenvalue sequenceBandtlow OF and Jenkinson O
Ergod Theor Dyn Syst, Cambridge Journals Online vol. 28 (6), 1701-1711.
01-12-2008
Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functionsBandtlow OE and Jenkinson O
Adv Math, Elsevier/Science Direct vol. 218 (3), 902-925.
20-06-2008
Resolvent estimates for operators belonging to exponential classesBandtlow OF
Integr Equat Oper Th vol. 61 (1), 21-43.
01-05-2008
2007
Explicit a priori bounds on transfer operator eigenvaluesBandtlow OF and Jenkinson O
Commun Math Phys vol. 276 (3), 901-905.
01-12-2007
Invariant measures for real analytic expanding mapsBandtlow OF and Jenkinson O
J Lond Math Soc vol. 75, 343-368.
01-04-2007
2004
Estimates for norms of resolvents and an application to the perturbation of spectraBandtlow OF
Math Nachr vol. 267, 3-11.
01-01-2004
2001
On the existence of dynamical systems with exponentially decaying collision operatorsBandtlow OF and Coveney PV
J Phys a-Math Gen vol. 34 (22), 4585-4599.
08-06-2001
1997
Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spacesBandtlow OF, Antoniou I and Suchanecki Z
Computers & Mathematics With Applications, Elsevier vol. 34 (2-4), 95-102.
01-07-1997
1996
Rigged Hilbert spaces for chaotic dynamical systemsSuchanecki Z, Antoniou I, Tasaki S and Bandtlow OF
Journal of Mathematical Physics, Aip Publishing vol. 37 (11), 5837-5847.
01-11-1996
1994
On the discrete time version of the Brussels formalismBandtlow OF and Coveney PV
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