Dr Oscar Bandtlow
Reader in Mathematics
Email: 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
Profile
Oscar 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.
Research
Publications
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(2020). Dynamic mode decomposition for analytic maps Communications in Nonlinear Science and Numerical Simulation.
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(2019). Lower bounds for the Ruelle spectrum of analytic expanding circle maps Ergodic Theory and Dynamical Systems.
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(2018). Dynamics and Relativity: Practical Implications of Dynamic Markings in the Score Journal of New Music Research.
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(2017). Complete spectral data for analytic Anosov maps of the torus Nonlinearity.
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(2017). Entropy-continuity of interval maps with holes Ergodic Theory and Dynamical Systems.
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(2017). Spectral structure of transfer operators for expanding circle maps Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire.
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(2016). Mapping between dynamic markings and performed loudness: A machine learning approach Journal of Mathematics and Music.
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(2015). A change-point approach towards representing musical dynamics Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).
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(2014). Explicit upper bounds for the spectral distance of two trace class operators Linear Algebra and Its Applications.
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(2014). Chapter 2 Eigenvalues of Transfer Operators for Dynamical Systems with Holes journal.
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(2014). Chapter 3 Periodic Points, Escape Rates and Escape Measures journal.
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(2013). Analytic expanding circle maps with explicit spectra NONLINEARITY.
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(2013). On the relation between Lyapunov exponents and exponential decay of correlations JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL.
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(2010). Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point J STAT PHYS.
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(2009). Eigenvalue decay of operators on harmonic function spaces B LOND MATH SOC.
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(2008). Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions ADV MATH.
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(2008). Resolvent estimates for operators belonging to exponential classes INTEGR EQUAT OPER TH.
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(2007). Explicit a priori bounds on transfer operator eigenvalues COMMUN MATH PHYS.
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(2007). Invariant measures for real analytic expanding maps J LOND MATH SOC.
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(2004). Estimates for norms of resolvents and an application to the perturbation of spectra MATH NACHR.
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(2001). On the existence of dynamical systems with exponentially decaying collision operators J PHYS A-MATH GEN.
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(1997). Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spaces Computers & Mathematics with Applications.
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(1996). Rigged Hilbert spaces for chaotic dynamical systems Journal of Mathematical Physics.
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(1994). On the discrete time version of the Brussels formalism Journal of Physics A: Mathematical and General.