Dr Oscar BandtlowReader in Mathematics, Director of Postgraduate StudiesEmail: o.bandtlow@qmul.ac.ukTelephone: +44 (0)20 7882 5438Room Number: Mathematical Sciences Building, Room: MB-317Website: http://www.maths.qmul.ac.uk/~ob/Office Hours: Please send me an email for an appointment.ProfileResearchPublicationsProfileOscar Bandtlow is a Reader in Mathematics at the School of Mathematical Sciences at Queen Mary University of London. He is 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. After completing his PhD in theoretical physics at the University of Cambridge he held various positions in Glasgow, London and Nottingham before joining QMUL as a Lecturer in 2006. He has also held Visiting Professorships at the Universities Paris-Sud, Nice Sophia Antipolis and Cergy-Pontoise.ResearchResearch Interests:See Oscar Bandtlow’s research profile pages including details of research interests, publications, and live grants.Publications Bandtlow OF, Just W, Slipantschuk J (2024). EDMD for expanding circle maps and their complex perturbations Applied and Computational Harmonic Analysis nameOfConference. 10.1016/j.acha.2024.101690 https://qmro.qmul.ac.uk/xmlui/handle/123456789/98351 Slipantschuk J, Bandtlow OF, Just W (publicationYear). Non-periodic not everywhere dense trajectories in triangular billiards Transactions of the American Mathematical Society nameOfConference. 10.1090/tran/9239 qmroHref Slipantschuk J, Bandtlow OF, Just W (2024). Non-periodic not everywhere dense trajectories in triangular billiards journal nameOfConference. 10.48550/arxiv.2406.17734 https://qmro.qmul.ac.uk/xmlui/handle/123456789/97338 Bandtlow OF, Just W, Slipantschuk J (2024). A numerical study of rigidity of hyperbolic splittings in simple two-dimensional maps Nonlinearity nameOfConference. 10.1088/1361-6544/ad2b58 https://qmro.qmul.ac.uk/xmlui/handle/123456789/94860 Chappell DJ, Richter M, Tanner G et al. (2023). Ray-Tracing the Ulam Way journal IMSE 2022. 10.1007/978-3-031-34099-4_8 https://qmro.qmul.ac.uk/xmlui/handle/123456789/94888 Zahradova K, Slipantschuk J, Bandtlow OF et al. (2023). Anomalous dynamics in symmetric triangular irrational billiards Physica D: Nonlinear Phenomena nameOfConference. 10.1016/j.physd.2022.133619 https://qmro.qmul.ac.uk/xmlui/handle/123456789/83939 Zahradova K, Slipantschuk J, Bandtlow O et al. (2022). Anomalous dynamics in symmetric triangular irrational billiards Physica D: Nonlinear Phenomena nameOfConference. 10.1016/j.physd.2022.133619 https://qmro.qmul.ac.uk/xmlui/handle/123456789/83200 Zahradova K, Slipantschuk J, Bandtlow O et al. (2022). Impact of symmetry on ergodic properties of triangular billiards Physical Review E: Statistical, Nonlinear, and Soft Matter Physics nameOfConference. 10.1103/PhysRevE.105.L012201 https://qmro.qmul.ac.uk/xmlui/handle/123456789/75971 Carter DJ, Dunstan DJ, Just W et al. (2021). Softening of the Euler Buckling Criterion under Discretization of Compliance Physical Review Applied nameOfConference. 10.1103/physrevapplied.16.l051002 https://qmro.qmul.ac.uk/xmlui/handle/123456789/75038 Carter D, Dunstan D, Just W et al. (2021). Softening of the Euler buckling criterion under discretization of compliance Physical Review Applied nameOfConference. doi https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/74898 Bandtlow O, Nivoche S (2021). New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spaces Journal of the European Mathematical Society nameOfConference. 10.4171/JEMS/1148 https://qmro.qmul.ac.uk/xmlui/handle/123456789/70115 Slipantschuk J, Richter M, Chappell DJ et al. (2021). Transfer operator approach to ray-tracing in circular domains Nonlinearity nameOfConference. 10.1088/1361-6544/ab9dca https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/65245 GUVEN A, Bandtlow O (2020). Quantitative spectral perturbation theory for compact operators on a Hilbert space Linear Algebra and Its Applications nameOfConference. doi https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/67078 Bandtlow O, Pohl A, Schick T et al. (2020). Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation Stochastics and Dynamics nameOfConference. 10.1142/S0219493721400050 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/65067 Slipantschuk J, Bandtlow OF, Just W (2020). Dynamic mode decomposition for analytic maps Communications in Nonlinear Science and Numerical Simulation nameOfConference. 10.1016/j.cnsns.2020.105179 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/62639 Kosta K, Ramírez-Melendez R, Bandtlow OF et al. (2018). Mapping between dynamic markings and performed loudness: a machine learning approach journal nameOfConference. 10.4324/9781351234542-5 qmroHref Kosta K, BANDTLOW OF, CHEW E (2018). Dynamics and Relativity: Practical Implications of Dynamic Markings in the Score Journal of New Music Research nameOfConference. 10.1080/09298215.2018.1486430 https://qmro.qmul.ac.uk/xmlui/handle/123456789/41323 Slipantschuk J, BANDTLOW OF, Just W (2017). Complete spectral data for analytic Anosov maps of the torus Nonlinearity nameOfConference. 10.1088/1361-6544/aa700f https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/22720 BANDTLOW OF, Naud F (2019). Lower bounds for the Ruelle spectrum of analytic expanding circle maps Ergodic Theory and Dynamical Systems nameOfConference. 10.1017/etds.2017.29 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/22273 BANDTLOW OF, Rugh HH (2017). Entropy-continuity of interval maps with holes Ergodic Theory and Dynamical Systems nameOfConference. 10.1017/etds.2016.115 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/15775 Bandtlow OF, Just W, Slipantschuk J (2017). Spectral structure of transfer operators for expanding circle maps Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire nameOfConference. 10.1016/j.anihpc.2015.08.004 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/12647 GUVEN A (2016). Quantitative Perturbation Theory for Compact Operators on a Hilbert Space journal nameOfConference. doi https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/23221 Kosta K, Ramirez R, Bandtlow OF et al. (2016). Mapping between dynamic markings and performed loudness: A machine learning approach Journal of Mathematics and Music nameOfConference. 10.1080/17459737.2016.1193237 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/14351 Kosta K, Bandtlow OF, Chew E (2015). A Change-Point Approach Towards Representing Musical Dynamics Lecture Notes in Computer Science nameOfConference. 10.1007/978-3-319-20603-5_18 qmroHref Bandtlow OF, Güven A (2014). Explicit upper bounds for the spectral distance of two trace class operators Linear Algebra and Its Applications nameOfConference. 10.1016/j.laa.2014.10.008 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/23508 Bandtlow OF, Jenkinson O (2014). Chapter 2 Eigenvalues of Transfer Operators for Dynamical Systems with Holes journal nameOfConference. 10.1007/978-1-4939-0419-8__2 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/31350 Bandtlow OF, Jenkinson O, Pollicott M (2014). Chapter 3 Periodic Points, Escape Rates and Escape Measures journal nameOfConference. 10.1007/978-1-4939-0419-8__3 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/31351 Kosta K, Bandtlow OF, Chew E (2014). Practical implications of dynamic markings in the score: Is piano always piano? Proceedings of the AES International Conference nameOfConference. doi qmroHref Slipantschuk J, Bandtlow OF, Just W (2013). Analytic expanding circle maps with explicit spectra NONLINEARITY nameOfConference. 10.1088/0951-7715/26/12/3231 qmroHref Slipantschuk J, Bandtlow OF, Just W (2013). On correlation decay in low-dimensional systems EPL nameOfConference. 10.1209/0295-5075/104/20004 qmroHref Slipantschuk J, Bandtlow OF, Just W (2013). On the relation between Lyapunov exponents and exponential decay of correlations JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL nameOfConference. 10.1088/1751-8113/46/7/075101 qmroHref Bandtlow OF, Fiala J, Kleban P et al. (2010). Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point J STAT PHYS nameOfConference. 10.1007/s10955-009-9900-4 qmroHref Bandtlow OF, Chu CH (2009). Eigenvalue decay of operators on harmonic function spaces B LOND MATH SOC nameOfConference. 10.1112/blms/bdp068 qmroHref Bandtlow OF, Jenkinson O (2008). On the Ruelle eigenvalue sequence ERGOD THEOR DYN SYST nameOfConference. 10.1017/S0143385708000059 qmroHref Bandtlow OE, Jenkinson O (2008). Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions ADV MATH nameOfConference. 10.1016/j.aim.2008.02.005 qmroHref Bandtlow OF (2008). Resolvent estimates for operators belonging to exponential classes INTEGR EQUAT OPER TH nameOfConference. 10.1007/s00020-008-1571-z qmroHref Bandtlow OF, Jenkinson O (2007). Explicit a priori bounds on transfer operator eigenvalues COMMUN MATH PHYS nameOfConference. 10.1007/s00220-007-0355-7 qmroHref Bandtlow OF, Jenkinson O (2007). Invariant measures for real analytic expanding maps J LOND MATH SOC nameOfConference. 10.1112/jlms/jdm001 qmroHref Bandtlow OF (2004). Estimates for norms of resolvents and an application to the perturbation of spectra MATH NACHR nameOfConference. 10.1002/mana.200310149 qmroHref Bandtlow OF, Coveney PV (2001). On the existence of dynamical systems with exponentially decaying collision operators J PHYS A-MATH GEN nameOfConference. 10.1088/0305-4470/34/22/301 qmroHref Bandtlow OF, Coveney PV (1994). On the discrete time version of the Brussels formalism Journal of Physics A: Mathematical and Theoretical nameOfConference. 10.1088/0305-4470/27/24/007 qmroHref Bandtlow OF, Antoniou I, Suchanecki Z (1997). Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spaces Computers & Mathematics with Applications nameOfConference. 10.1016/s0898-1221(97)00119-3 qmroHref Suchanecki Z, Antoniou I, Tasaki S et al. (1996). Rigged Hilbert spaces for chaotic dynamical systems Journal of Mathematical Physics nameOfConference. 10.1063/1.531703 qmroHref