Dr Oscar Bandtlow

Oscar Bandtlow

Reader in Mathematics
Director of Postgraduate Studies

School of Mathematical Sciences
Queen Mary University of London
ORCID Google Scholar

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

Relevant PublicationPublications of specific relevance to the Centre for Complex Systems

2023

Relevant PublicationChappell DJ, Richter M, Tanner G, Bandtlow OF, Just W and Slipantschuk J (2023). Ray-Tracing the Ulam Way. IMSE 2022
01-11-2023
Relevant PublicationZahradova 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

Relevant PublicationZahradova K, Slipantschuk J, Bandtlow O and Just W (2022). Anomalous dynamics in symmetric triangular irrational billiards. Physica D: Nonlinear Phenomena, Elsevier 
23-12-2022
Relevant PublicationZahradova 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

Relevant PublicationCarter 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
Relevant PublicationCarter 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
Relevant PublicationBandtlow 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
Relevant PublicationSlipantschuk 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

Relevant PublicationGUVEN 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
Relevant PublicationBandtlow 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
Relevant PublicationSlipantschuk 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

Relevant PublicationKosta 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
Relevant PublicationKosta 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

Relevant PublicationSlipantschuk 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
Relevant PublicationBANDTLOW 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
Relevant PublicationBANDTLOW 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
Relevant PublicationBandtlow 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

Relevant PublicationGUVEN A (2016). Quantitative Perturbation Theory for Compact Operators on a Hilbert Space., Editors: Bandtlow O and Chu C. 
17-08-2016
Relevant PublicationKosta 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

Relevant PublicationKosta K, Bandtlow OF and Chew E (2015). A Change-Point Approach Towards Representing Musical Dynamics. 
01-01-2015

2014

Relevant PublicationBandtlow 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
Relevant PublicationKosta K, Bandtlow OF and Chew E (2014). Practical implications of dynamic markings in the score: Is piano always piano? 
01-01-2014
Relevant PublicationBandtlow OF and Jenkinson O (2014). Chapter 2 Eigenvalues of Transfer Operators for Dynamical Systems with Holes. 31-39.  
01-01-2014
Relevant PublicationBandtlow OF, Jenkinson O and Pollicott M (2014). Chapter 3 Periodic Points, Escape Rates and Escape Measures. 41-58.  
01-01-2014

2013

Relevant PublicationSlipantschuk 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
Relevant PublicationSlipantschuk J, Bandtlow OF and Just W (2013). Analytic expanding circle maps with explicit spectra. NONLINEARITY vol. 26 (12), 3231-3245.  
01-01-2013
Relevant PublicationSlipantschuk J, Bandtlow OF and Just W (2013). On correlation decay in low-dimensional systems. EPL vol. 104 (2) 
01-01-2013

2009

Relevant PublicationBandtlow OF and Chu CH (2009). Eigenvalue decay of operators on harmonic function spaces. B LOND MATH SOC vol. 41, 903-915.  
01-10-2009
Relevant PublicationBandtlow 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

Relevant PublicationBandtlow 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
Relevant PublicationBandtlow 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
Relevant PublicationBandtlow OF (2008). Resolvent estimates for operators belonging to exponential classes. INTEGR EQUAT OPER TH vol. 61 (1), 21-43.  
01-05-2008

2007

Relevant PublicationBandtlow OF and Jenkinson O (2007). Explicit a priori bounds on transfer operator eigenvalues. COMMUN MATH PHYS vol. 276 (3), 901-905.  
01-12-2007
Relevant PublicationBandtlow OF and Jenkinson O (2007). Invariant measures for real analytic expanding maps. J LOND MATH SOC vol. 75, 343-368.  
01-04-2007

2004

Relevant PublicationBandtlow 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

Relevant PublicationBandtlow 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

Relevant PublicationBandtlow 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

Relevant PublicationSuchanecki 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

Relevant PublicationBandtlow 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

solid heart iconGrants of specific relevance to the Centre for Complex Systems
solid heart iconVisitor Prof Stéphanie Nivoche
Oscar Bandtlow
£1,050 London Mathematical Society (LMS) (01-01-2024 - 31-03-2024)