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
Non-periodic not everywhere dense trajectories in triangular billiardsSlipantschuk J Just W
Transactions of The American Mathematical Society, American Mathematical Society (Ams) vol. 378 (01), 375-388.
25-10-2024
Convergence properties of dynamic mode decomposition for analytic interval mapsAkindji E Slipantschuk J Bandtlow OF Just W
In Arxiv
12-04-2024
A numerical study of rigidity of hyperbolic splittings in simple two-dimensional mapsBandtlow OF Just W Slipantschuk J
In Arxiv
22-02-2024
2023
Ray-Tracing the Ulam WayChappell DJ Richter M Bandtlow OF Just W Slipantschuk J
IMSE 2022.
01-11-2023
Anomalous dynamics in symmetric triangular irrational billiardsZahradova K Bandtlow OF Just W
Physica D: Nonlinear Phenomena vol. 445
01-03-2023
2022
Anomalous dynamics in symmetric triangular irrational billiardsZahradova K Slipantschuk J Bandtlow O
Physica D: Nonlinear Phenomena, Elsevier
23-12-2022
Resonances for rational Anosov maps on the torusSlipantschuk J Bandtlow OF Just W
In Arxiv
10-11-2022
Impact of symmetry on ergodic properties of triangular billiardsZahradova K Bandtlow O
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 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 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 Nivoche S
Journal of The European Mathematical Society, European Mathematical Society
25-10-2021
2020
Softening of the Euler buckling criterion under discretisation of complianceCarter DJ Dunstan DJ Just W Bandtlow OF Miguel AS
In Arxiv
28-11-2020
Quantitative spectral perturbation theory for compact operators on a Hilbert spaceGUVEN A Bandtlow O
Linear Algebra and Its Applications, Elsevier
06-10-2020
Transfer operator approach to ray-tracing in circular domainsSlipantschuk J Richter M Chappell DJ Just W
Nonlinearity, Iop Publishing
30-09-2020
Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximationBandtlow O Pohl A Schick T
Stochastics and Dynamics, World Scientific Publishing
28-08-2020
Quantitative spectral perturbation theory for compact operators on a Hilbert spaceGuven A
In Arxiv
28-05-2020
Lagrange approximation of transfer operators associated with holomorphic dataBandtlow OF
In Arxiv
07-04-2020
Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximationBandtlow O Schick T Weiße A
In Arxiv
09-02-2020
Dynamic mode decomposition for analytic mapsSlipantschuk J Bandtlow OF
Communications in Nonlinear Science and Numerical Simulation, Elsevier Bv, 105179-105179.
09-01-2020
2019
Transfer operator approach to ray-tracing in circular domainsSlipantschuk J Richter M Chappell DJ Tanner G Just W
In Arxiv
07-10-2019
New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spacesBandtlow OF
In Arxiv
03-06-2019
Dynamic mode decomposition for analytic mapsSlipantschuk J Bandtlow OF Just W
In Arxiv
22-05-2019
2018
Mapping between dynamic markings and performed loudness: a machine learning approachKosta K Ramírez-Melendez R
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 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
Nonlinearity, Iop Publishing vol. 30, 2667-2686.
23-05-2017
Lower bounds for the Ruelle spectrum of analytic expanding circle mapsBANDTLOW OF
Ergodic Theory and Dynamical Systems, Cambridge University Press (Cup) vol. 39, 289-310.
04-05-2017
Entropy-continuity of interval maps with holesBANDTLOW OF 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 Slipantschuk J
Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire vol. 34 (1), 31-43.
01-01-2017
2016
Mapping between dynamic markings and performed loudness: A machine learning approachKosta K Ramirez R Bandtlow OF
Journal of Mathematics and Music, Taylor &Amp; Francis: Stm, Behavioural Science and Public Health Titles vol. 10, 149-172.
03-08-2016
Lower bounds for the Ruelle spectrum of analytic expanding circle mapsBandtlow O
In Arxiv
20-05-2016
Complete spectral data for analytic Anosov maps of the torusSlipantschuk J Just W
In Arxiv
10-05-2016
2015
Entropy-continuity for interval maps with holesBandtlow OF Rugh HH
In Arxiv
20-10-2015
Explicit upper bounds for the spectral distance of two trace class operatorsBandtlow OF Guven A
In Arxiv
19-10-2015
A Change-Point Approach Towards Representing Musical DynamicsKosta K Bandtlow OF 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
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 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
31-39.
01-01-2014
Chapter 3 Periodic Points, Escape Rates and Escape MeasuresBandtlow OF Jenkinson O
41-58.
01-01-2014
2013
Spectral structure of transfer operators for expanding circle mapsBandtlow OF Just W
In Arxiv
13-11-2013
Analytic expanding circle maps with explicit spectraSlipantschuk J Bandtlow OF
In Arxiv
03-06-2013
On the relation between Lyapunov exponents and exponential decay of correlationsSlipantschuk J Bandtlow OF
Journal of Physics a-Mathematical and Theoretical vol. 46 (7)
01-01-2013
Analytic expanding circle maps with explicit spectraSlipantschuk J Bandtlow OF
Nonlinearity vol. 26 (12), 3231-3245.
01-01-2013
On correlation decay in low-dimensional systemsSlipantschuk J Bandtlow OF
Epl vol. 104 (2)
01-01-2013
2012
On the relation between Lyapunov exponents and exponential decay of correlationsSlipantschuk J Bandtlow OF Just W
In Arxiv
12-09-2012
2009
Eigenvalue decay of operators on harmonic function spacesBandtlow OF 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 Kleban P
15-09-2009
Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical PointBandtlow OF Kleban P
In Arxiv
15-09-2009
Eigenvalue decay of operators on harmonic function spacesBandtlow OF
In Arxiv
05-03-2009
2008
On the Ruelle eigenvalue sequenceBandtlow OF Jenkinson O
Ergod Theor Dyn Syst, Cambridge Journals Online vol. 28 (6), 1701-1711.
01-12-2008
Resolvent estimates for operators belonging to exponential classesBandtlow OF
In Arxiv
19-09-2008
Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functionsBandtlow OE 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
Explicit eigenvalue estimates for transfer operatorsBandtlow OF
In Arxiv
12-02-2008
Explicit a priori bounds on transfer operator eigenvaluesBandtlow OF Jenkinson O
In Arxiv
07-02-2008
2007
Explicit a priori bounds on transfer operator eigenvaluesBandtlow OF Jenkinson O
Commun Math Phys vol. 276 (3), 901-905.
01-12-2007
Invariant measures for real analytic expanding mapsBandtlow OF 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 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
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
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 Coveney PV
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 27 (24)
21-12-1994
A change-point approach towards representing musical dynamicsKosta BANDTLOW OF Chew E Collins T Meredith D Volk A
In Computation in Music, McM 2015, Springer 179-184.
A numerical study of rigidity of hyperbolic splittings in simple two-dimensional mapsBandtlow O Just W Slipantschuk J
Nonlinearity, Iop Publishing
Non-periodic not everywhere dense trajectories in triangular billiardsSlipantschuk J Bandtlow O Just W
Transactions of The American Mathematical Society, American Mathematical Society
EDMD for expanding circle maps and their complex perturbationsBandtlow O Just W Slipantschuk J
Applied and Computational Harmonic Analysis, Elsevier
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
Research Group
PhD Students
- Mark Baldwin
Swarming and Synchronisation of Coupled Self-Propelled Oscillators
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