Dr Rainer Klages
Reader in Applied Mathematics
Email: r.klages@qmul.ac.ukTelephone: +44 (0)20 7882 5448Room Number: Mathematical Sciences Building, Room: MB-425Website: http://www.maths.qmul.ac.uk/~klages/Office Hours: please contact me by e-mail to make an appointment
Profile
Rainer spent several years as a postdoctoral researcher in the USA, Hungary, Belgium and Germany before moving to Queen Mary University of London in 2004 as a lecturer in applied mathematics. His research combines dynamical systems theory, nonequilibrium statistical physics and stochastic theory to understand complex systems, with applications to nanoscience and biology. He is interested in the emergence of fractal structures in chaotic transport processes such as diffusion. More recently he started to apply the theory of anomalous stochastic processes to understand the foraging of biological organisms. Examples are stochastic models of biological cell migration and bumblebee flights. His research in theoretical physics and applied mathematics thus stretches from mathematical foundations to experimental applications. For three years he was Director of Postgraduate Research Studies at the School of Mathematical Sciences. He is often teaching large first-year courses like Calculus. In 2019 he was on research leave at the Technical University of Berlin as a Mercator Visiting Professor.
Teaching
Essential Mathematical Skills (foundation year)
Undergraduate Teaching
Calculus 2, Calculus 1, Differential Equations, Quantum Theory
Postgraduate Teaching
Introduction to Dynamical Systems (MSc), Applied Dynamical Systems (PhD)
Research
Examples of research funding:
Office of Naval Research Global, Mercator Foundation, London Mathematical Laboratory, Max Planck Society, EPSRC, German Research Foundation, German Academic Exchange Service
Publications
selected publications:
Y.Sato, R.Klages, Anomalous diffusion in random dynamical systems, Phys. Rev. Lett. 122, 174101/1--6 (2019)
R.Klages, S.S.G.Gallegos, M.Sarvilahti, J.Solanpaa, E.Rasanen, Normal and anomalous diffusion in soft Lorentz gases, Phys. Rev. Lett. 122, 064102/1--5 (2019)
A. Cairoli, R. Klages, A. Baule, Weak Galilean invariance as a selection principle for coarse-grained diffusive models, PNAS 115, 5714-–5719 (2018)
F.Lenz, T.Ings, A.V.Chechkin, L.Chittka, R.Klages, Spatio-temporal dynamics of bumblebees foraging under predation risk, Phys. Rev. Lett. 108, 098103/1--5 (2012)
R. Klages, G.Radons, I.M.Sokolov (Eds.), Anomalous transport (Wiley-VCH, Weinheim, July 2008), 584 pages;
P.Dieterich, R.Klages, R.Preuss, A.Schwab, Anomalous dynamics of cell migration, PNAS 105, 459--463 (2008)
R.Klages, Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics, monograph, Advanced Series in Nonlinear Dynamics Vol.24 (World Scientific, Singapore, June 2007), 456 pages
R.Klages, J.R.Dorfman, Simple maps with fractal diffusion coefficients, Phys. Rev. Lett. 74, 387-390 (1995)
- (2022), Extended Poisson-Kac Theory: A Unifying Framework for Stochastic Processes with Finite Propagation Velocity Physical Review X $nameOfConference(2022), Spectral Properties of Stochastic Processes Possessing Finite Propagation Velocity Entropy: international and interdisciplinary journal of entropy and information studies $nameOfConference(publicationYear), Search efficiency of discrete fractional Brownian motion in a random distribution of targets Physical Review Research $nameOfConference(2021), On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature $journal $nameOfConference(2020), Extended Poisson-Kac theory: A unifying framework for stochastic processes with finite propagation velocity $journal $nameOfConference(2020), Search efficiency of discrete fractional Brownian motion in a random distribution of targets $journal $nameOfConference(2020), On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature $journal $nameOfConference(2019), First-passage and first-hitting times of Levy flights and Levy walks $journal $nameOfConference(2019), First passage and first hitting times of Lévy flights and Lévy walks New Journal of Physics $nameOfConference(2019), Age representation of Levy walks: partial density waves, relaxation and first passage time statistics $journal $nameOfConference(2019), Age representation of Lévy walks: partial density waves, relaxation and first passage time statistics Journal of Physics A: Mathematical and Theoretical $nameOfConference(2019), Energy-dependent diffusion in a soft periodic Lorentz gas European Physical Journal - Special Topics $nameOfConference(2019), Anomalous Diffusion in Random Dynamical Systems Physical Review Letters $nameOfConference(2019), Normal and anomalous diffusion in soft Lorentz gases Physical Review Letters $nameOfConference(2018), Energy-dependent diffusion in a soft periodic Lorentz gas $journal $nameOfConference(2018), Normal and Anomalous Diffusion in Soft Lorentz Gases $journal $nameOfConference(2018), Anomalous diffusion in random dynamical systems $journal $nameOfConference(2018), Weak Galilean invariance as a selection principle for coarse-grained diffusive models $journal $nameOfConference(2018), Weak Galilean invariance as a selection principle for coarse-grained diffusive models Proceedings of the National Academy of Sciences $nameOfConference(2018), Search for Food of Birds, Fish and Insects $journal $nameOfConference(2018), Cellular automaton models for time-correlated random walks: derivation and analysis $journal $nameOfConference(2018), Search for food of birds, fish and insects $journal $nameOfConference(2017), Cellular automaton models for time-correlated random walks: derivation and analysis Scientific Reports $nameOfConference(2017), Comparison of pure and combined search strategies for single and multiple targets $journal $nameOfConference(2017), Comparison of pure and combined search strategies for single and multiple targets European Physical Journal B: Condensed Matter and Complex Systems $nameOfConference(2016), Search reliability and search efficiency of combined Lévy-Brownian motion: long relocations mingled with thorough local exploration $journal $nameOfConference(2016), Search reliability and search efficiency of combined Lévy–Brownian motion: long relocations mingled with thorough local exploration Journal of Physics A: Mathematical and Theoretical $nameOfConference(2016), A Fractional Diffusion Equation for an n-Dimensional Correlated Levy Walk Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics $nameOfConference(2016), A Fractional Diffusion Equation for an n-Dimensional Correlated Levy Walk $journal $nameOfConference(2015), Extrem gesucht Physik Journal $nameOfConference(2015), A simple non-chaotic map generating subdiffusive, diffusive and superdiffusive dynamics $journal $nameOfConference(2015), Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations $journal $nameOfConference(2015), Weak chaos, infinite ergodic theory, and anomalous dynamics $journal $nameOfConference(publicationYear), A simple non-chaotic map generating subdiffusive, diffusive and superdiffusive dynamics Chaos $nameOfConference(2015), Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations New Journal of Physics $nameOfConference(2014), Diffusion in randomly perturbed dissipative dynamics $journal $nameOfConference(2014), Diffusion in randomly perturbed dissipative dynamics EPL $nameOfConference(2013), Anomalous fluctuation relations $journal $nameOfConference(2013), Nonequilibrium Statistical Physics of Small Systems - Fluctuation Relations and Beyond $journal $nameOfConference(2013), Constructing a Stochastic Model of Bumblebee Flights from Experimental Data $journal $nameOfConference(2013), Constructing a stochastic model of bumblebee flights from experimental data. PLoS One $nameOfConference(2013), Weak chaos, infinite ergodic theory, and anomalous dynamics $journal $nameOfConference(2012), Normal and anomalous fluctuation relations for Gaussian stochastic dynamics JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT $nameOfConference(2012), Normal and Anomalous Fluctuation Relations for Gaussian Stochastic Dynamics $journal $nameOfConference(2012), Dependence of chaotic diffusion on the size and position of holes. Chaos $nameOfConference(2012), Spatiotemporal Dynamics of Bumblebees Foraging under Predation Risk PHYSICAL REVIEW LETTERS $nameOfConference(2012), Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisited CHAOS SOLITONS & FRACTALS $nameOfConference(2011), Dependence of chaotic diffusion on the size and position of holes $journal $nameOfConference(2011), Reply to the comment of T.Gilbert and D.P.Sanders on "Capturing correlations in chaotic diffusion by approximation methods" $journal $nameOfConference(2011), Capturing correlations in chaotic diffusion by approximation methods PHYS REV E $nameOfConference(2011), Spatio-temporal dynamics of bumblebees foraging under predation risk $journal $nameOfConference(2011), Capturing correlations in chaotic diffusion by approximation methods $journal $nameOfConference(2011), Steady state fluctuation relations and time reversibility for non-smooth chaotic maps J STAT MECH-THEORY E $nameOfConference(2011), Steady state fluctuation relation and time-reversibility for non-smooth chaotic maps $journal $nameOfConference(2011), Chaos -- The Science of Predictable Random Motion Physik Journal $nameOfConference(2011), Linear and fractal diffusion coefficients in a family of one-dimensional chaotic maps NONLINEARITY $nameOfConference(2010), Linear and fractal diffusion coefficients in a family of one dimensional chaotic maps $journal $nameOfConference(2010), From Deterministic Chaos to Anomalous Diffusion $journal $nameOfConference(2010), Anomalous Transport: Experimental Results and Theoretical Challenges Physik Journal $nameOfConference(2010), From deterministic chaos to anomalous diffusion $journal $nameOfConference(2009), Anomalous dynamics of cell migration $journal $nameOfConference(2009), Fluctuation relations for anomalous dynamics $journal $nameOfConference(2009), Fluctuation relations for anomalous dynamics J STAT MECH-THEORY E $nameOfConference(2008), Continuity properties of transport coefficients in simple maps NONLINEARITY $nameOfConference(2008), From Deterministic Chaos to Anomalous Diffusion $journal $nameOfConference(2008), Continuity properties of transport coefficients in simple maps $journal $nameOfConference(2008), Anomalous dynamics of cell migration. Proc Natl Acad Sci U S A $nameOfConference(2008), Anomalous transport - Foundations and Applications $journal $nameOfConference(2007), Chaos: A Very Short Introduction Journal of Physics A: Mathematical and Theoretical $nameOfConference(2007), Fractal properties of anomalous diffusion in intermittent maps. Phys Rev E Stat Nonlin Soft Matter Phys $nameOfConference(2007), Chaos -- A very short introduction Physik Journal $nameOfConference(2007), Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics $journal $nameOfConference(2006), Fractal Properties of Anomalous Diffusion in Intermittent Maps $journal $nameOfConference(2005), Understanding anomalous transport in intermittent maps: From continuous-time random walks to fractals EUROPHYS LETT $nameOfConference(2005), Brownian motion of migrating cells?, in: E.Schoell, K.Luedge (Eds.), XXV $journal Dynamics Days Europe 2005: Book of Abstracts. Europhysics Conference(2005), Deterministic chaos and diffusion: from theory to experiment $journal Diffusion Fundamentals, Leipziger Universitaetsverlag, Leipzig(2004), Spiral modes in the diffusion of a single granular particle on a vibrating surface PHYS LETT A $nameOfConference(2004), Spiral modes in the diffusion of a granular particle on a vibrating surface $journal $nameOfConference(2004), Understanding Anomalous Transport in Intermittent Maps: From Continuous Time Random Walks to Fractals $journal $nameOfConference(2004), Deterministic diffusion in smooth nonlinear maps $journal $nameOfConference(2004), Fractality of deterministic diffusion in the nonhyperbolic climbing sine map Physica D-Nonlinear Phenomena $nameOfConference(2004), Irregular diffusion in the bouncing ball billiard PHYSICA D-NONLINEAR PHENOMENA $nameOfConference(2004), Microscopic chaos and transport in many-particle systems - Preface PHYSICA D $nameOfConference(2004), Special issue on Microscopic Chaos and Transport in Many-Particle Systems $journal $nameOfConference(2003), Microscopic chaos and transport in thermostated dynamical systems published as Part 2 in: R.Klages, Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics (Advanced Series in Nonlinear Dynamics Vol.24, World Scientific, Singapore, 2007, ISBN 978-981-256-507-5) $nameOfConference(2003), Fractal fractal dimensions of deterministic transport coefficients J PHYS A-MATH GEN $nameOfConference(2003), Fractal fractal dimensions of deterministic transport coefficients $journal $nameOfConference(2003), Fractality of deterministic diffusion in nonhyperbolic maps $journal Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38(2003), Irregular diffusion in the bouncing ball billiard $journal Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38(2003), Transitions from deterministic to stochastic diffusion $journal Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38(2002), Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems PHYS REV LETT $nameOfConference(2002), Irregular diffusion in the bouncing ball billiard $journal $nameOfConference(2002), Fractality of deterministic diffusion in the nonhyperbolic climbing sine map $journal $nameOfConference(2002), Negative and nonlinear response in an exactly solved dynamical model of particle transport J STAT PHYS $nameOfConference(2002), Deterministic diffusion in flower-shaped billiards PHYS REV E $nameOfConference(2002), Negative and Nonlinear Response in an Exactly Solved Dynamical Model of Particle Transport $journal $nameOfConference(2002), Comment on "Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map" PHYS REV E $nameOfConference(2002), Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems $journal $nameOfConference(2002), Understanding deterministic diffusion by correlated random walks J PHYS A-MATH GEN $nameOfConference(2002), Suppression and enhancement of diffusion in disordered dynamical systems. Phys Rev E Stat Nonlin Soft Matter Phys $nameOfConference(2002), Deterministic diffusion in flower shape billiards $journal $nameOfConference(2002), Comment on ``Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map'' $journal $nameOfConference(2002), Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering PHYS REV E $nameOfConference(2002), Transitions from deterministic to stochastic diffusion EUROPHYS LETT $nameOfConference(2002), Understanding deterministic diffusion by correlated random walks $journal $nameOfConference(2002), Fractal Structures of Normal and Anomalous Diffusion in Nonlinear Nonhyperbolic Dynamical Systems Physical Review Letters $nameOfConference(2002), Suppression and enhancement of deterministic diffusion in disordered dynamical systems Phys. Rev. E $nameOfConference(2002), Transitions from deterministic to stochastic diffusion Europhys. Lett. $nameOfConference(2002), Understanding deterministic diffusion by correlated random walks J. Phys. A: Math. Gen. $nameOfConference(2001), Transitions from deterministic to stochastic diffusion $journal $nameOfConference(2001), Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering $journal $nameOfConference(2001), Suppression and Enhancement of Diffusion in Disordered Dynamical Systems $journal $nameOfConference(2001), Zufallsbewegung und deterministische Diffusion im periodischen Lorentzgas $journal University of Hamburg, Hamburg, Germany Verhandl. DPG (VI) 38(2000), Density-dependent diffusion in the periodic Lorentz gas JOURNAL OF STATISTICAL PHYSICS $nameOfConference(2000), The Nose-Hoover thermostated Lorentz gas JOURNAL OF STATISTICAL PHYSICS $nameOfConference(publicationYear), Thermostating by Deterministic Scattering: Construction of Nonequilibrium Steady States Physical Review Letters $nameOfConference(2000), Density-dependent diffusion in the periodic Lorentz gas J. Stat. Phys. $nameOfConference(2000), The Nosé-Hoover thermostated Lorentz gas J. Stat. Phys. $nameOfConference