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School of Mathematical Sciences

Dr Rainer Klages

Rainer

Reader in Applied Mathematics

Email: r.klages@qmul.ac.uk
Telephone: +44 (0)20 7882 5448
Room Number: Mathematical Sciences Building, Room: MB-425
Website: 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)

    • Giona M, Cairoli A, Klages R (2022), Extended Poisson-Kac Theory: A Unifying Framework for Stochastic Processes with Finite Propagation Velocity Physical Review X $nameOfConference
    • Giona M, Cairoli A, Cocco D et al. (2022), Spectral Properties of Stochastic Processes Possessing Finite Propagation Velocity Entropy: international and interdisciplinary journal of entropy and information studies $nameOfConference
    • Khadem SMJ, Klapp SHL, Klages R (publicationYear), Search efficiency of discrete fractional Brownian motion in a random distribution of targets Physical Review Research $nameOfConference
    • Watkins NW, Chapman SC, Chechkin A et al. (2021), On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature $journal $nameOfConference
    • Giona M, Cairoli A, Klages R (2020), Extended Poisson-Kac theory: A unifying framework for stochastic processes with finite propagation velocity $journal $nameOfConference
    • Khadem SMJ, Klapp SHL, Klages R (2020), Search efficiency of discrete fractional Brownian motion in a random distribution of targets $journal $nameOfConference
    • Watkins N, Chapman S, Chechkin A et al. (2020), On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature $journal $nameOfConference
    • Palyulin VV, Blackburn G, Lomholt MA et al. (2019), First-passage and first-hitting times of Levy flights and Levy walks $journal $nameOfConference
    • Palyulin VV, Blackburn G, Lomholt MA et al. (2019), First passage and first hitting times of Lévy flights and Lévy walks New Journal of Physics $nameOfConference
    • Giona M, D'Ovidio M, Cocco D et al. (2019), Age representation of Levy walks: partial density waves, relaxation and first passage time statistics $journal $nameOfConference
    • Giona M, D’Ovidio M, Cocco D et al. (2019), Age representation of Lévy walks: partial density waves, relaxation and first passage time statistics Journal of Physics A: Mathematical and Theoretical $nameOfConference
    • GIL GALLEGOS S, Klages R, Räsänen E et al. (2019), Energy-dependent diffusion in a soft periodic Lorentz gas European Physical Journal - Special Topics $nameOfConference
    • Sato Y, Klages R (2019), Anomalous Diffusion in Random Dynamical Systems Physical Review Letters $nameOfConference
    • KLAGES RG, Gallegos SSG, Solanpaa J et al. (2019), Normal and anomalous diffusion in soft Lorentz gases Physical Review Letters $nameOfConference
    • Gil-Gallegos S, Klages R, Solanpää J et al. (2018), Energy-dependent diffusion in a soft periodic Lorentz gas $journal $nameOfConference
    • Klages R, Gallegos SSG, Solanpää J et al. (2018), Normal and Anomalous Diffusion in Soft Lorentz Gases $journal $nameOfConference
    • Sato Y, Klages R (2018), Anomalous diffusion in random dynamical systems $journal $nameOfConference
    • Cairoli A, Klages R, Baule A (2018), Weak Galilean invariance as a selection principle for coarse-grained diffusive models $journal $nameOfConference
    • CAIROLI A, KLAGES R, BAULE A (2018), Weak Galilean invariance as a selection principle for coarse-grained diffusive models Proceedings of the National Academy of Sciences $nameOfConference
    • Klages R (2018), Search for Food of Birds, Fish and Insects $journal $nameOfConference
    • Nava-Sedeno JM, Hatzikirou H, Klages R et al. (2018), Cellular automaton models for time-correlated random walks: derivation and analysis $journal $nameOfConference
    • KLAGES R (2018), Search for food of birds, fish and insects $journal $nameOfConference
    • KLAGES RG, Nava-Sedeno JM, Hatzikirou H et al. (2017), Cellular automaton models for time-correlated random walks: derivation and analysis Scientific Reports $nameOfConference
    • Palyulin VV, Mantsevich VN, Klages R et al. (2017), Comparison of pure and combined search strategies for single and multiple targets $journal $nameOfConference
    • Palyulin VV, Mantsevich VN, KLAGES RG et al. (2017), Comparison of pure and combined search strategies for single and multiple targets European Physical Journal B: Condensed Matter and Complex Systems $nameOfConference
    • Klages R (2016), Chaos in Statistical Physics $journal $nameOfConference
    • Palyulin VV, Chechkin AV, Klages R et al. (2016), Search reliability and search efficiency of combined Lévy-Brownian motion: long relocations mingled with thorough local exploration $journal $nameOfConference
    • Palyulin VV, KLAGES RG, Chechkin AV et al. (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
    • Taylor-King JP, KLAGES R, Van Gorder RA et al. (2016), A Fractional Diffusion Equation for an n-Dimensional Correlated Levy Walk Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics $nameOfConference
    • Taylor-King JP, Klages R, Fedotov S et al. (2016), A Fractional Diffusion Equation for an n-Dimensional Correlated Levy Walk $journal $nameOfConference
    • KLAGES RG (2015), Extrem gesucht Physik Journal $nameOfConference
    • Salari L, Rondoni L, Giberti C et al. (2015), A simple non-chaotic map generating subdiffusive, diffusive and superdiffusive dynamics $journal $nameOfConference
    • Dieterich P, Klages R, Chechkin AV (2015), Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations $journal $nameOfConference
    • Klages R (2015), Weak chaos, infinite ergodic theory, and anomalous dynamics $journal $nameOfConference
    • Salari L, Rondoni L, Giberti C et al. (publicationYear), A simple non-chaotic map generating subdiffusive, diffusive and superdiffusive dynamics Chaos $nameOfConference
    • Dieterich P, Klages R, Chechkin AV (2015), Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations New Journal of Physics $nameOfConference
    • Rodrigues CS, Chechkin AV, de Moura APS et al. (2014), Diffusion in randomly perturbed dissipative dynamics $journal $nameOfConference
    • Rodrigues CS, Chechkin AV, De Moura APS et al. (2014), Diffusion in randomly perturbed dissipative dynamics EPL $nameOfConference
    • Klages R, Chechkin AV, Dieterich P (2013), Anomalous fluctuation relations $journal $nameOfConference
    • Klages R (2013), Nonequilibrium Statistical Physics of Small Systems - Fluctuation Relations and Beyond $journal $nameOfConference
    • Lenz F, Chechkin AV, Klages R (2013), Constructing a Stochastic Model of Bumblebee Flights from Experimental Data $journal $nameOfConference
    • KLAGES RG, Wolfram J, Jarzynski C et al. (2013), Anomalous fluctuation relations $journal $nameOfConference
    • Lenz F, Chechkin AV, Klages R (2013), Constructing a stochastic model of bumblebee flights from experimental data. PLoS One $nameOfConference
    • KLAGES RG (2013), Weak chaos, infinite ergodic theory, and anomalous dynamics $journal $nameOfConference
    • Chechkin AV, Lenz F, Klages R (2012), Normal and anomalous fluctuation relations for Gaussian stochastic dynamics JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT $nameOfConference
    • Chechkin AV, Lenz F, Klages R (2012), Normal and Anomalous Fluctuation Relations for Gaussian Stochastic Dynamics $journal $nameOfConference
    • Knight G, Georgiou O, Dettmann CP et al. (2012), Dependence of chaotic diffusion on the size and position of holes. Chaos $nameOfConference
    • Lenz F, Ings TC, Chittka L et al. (2012), Spatiotemporal Dynamics of Bumblebees Foraging under Predation Risk PHYSICAL REVIEW LETTERS $nameOfConference
    • Waldner F, Klages R (2012), Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisited CHAOS SOLITONS & FRACTALS $nameOfConference
    • Knight G, Georgiou O, Dettmann CP et al. (2011), Dependence of chaotic diffusion on the size and position of holes $journal $nameOfConference
    • Klages R, Knight G (2011), Reply to the comment of T.Gilbert and D.P.Sanders on "Capturing correlations in chaotic diffusion by approximation methods" $journal $nameOfConference
    • Knight G, Klages R (2011), Capturing correlations in chaotic diffusion by approximation methods PHYS REV E $nameOfConference
    • Lenz F, Ings TC, Chittka L et al. (2011), Spatio-temporal dynamics of bumblebees foraging under predation risk $journal $nameOfConference
    • Knight G, Klages R (2011), Capturing correlations in chaotic diffusion by approximation methods $journal $nameOfConference
    • Colangeli M, Klages R, De Gregorio P et al. (2011), Steady state fluctuation relations and time reversibility for non-smooth chaotic maps J STAT MECH-THEORY E $nameOfConference
    • Colangeli M, Klages R, De Gregorio P et al. (2011), Steady state fluctuation relation and time-reversibility for non-smooth chaotic maps $journal $nameOfConference
    • KLAGES RG (2011), Chaos -- The Science of Predictable Random Motion Physik Journal $nameOfConference
    • Knight G, Klages R (2011), Linear and fractal diffusion coefficients in a family of one-dimensional chaotic maps NONLINEARITY $nameOfConference
    • Knight G, Klages R (2010), Linear and fractal diffusion coefficients in a family of one dimensional chaotic maps $journal $nameOfConference
    • Klages R (2010), From Deterministic Chaos to Anomalous Diffusion $journal $nameOfConference
    • Klages R, Radons G, Sokolov IM (2010), Anomalous Transport: Experimental Results and Theoretical Challenges Physik Journal $nameOfConference
    • KLAGES RG (2010), From deterministic chaos to anomalous diffusion $journal $nameOfConference
    • Dieterich P, Klages R, Preuss R et al. (2009), Anomalous dynamics of cell migration $journal $nameOfConference
    • Chechkin AV, Klages R (2009), Fluctuation relations for anomalous dynamics $journal $nameOfConference
    • Chechkin AV, Klages R (2009), Fluctuation relations for anomalous dynamics J STAT MECH-THEORY E $nameOfConference
    • Klages R, Radons G, Sokolov IM (2008), Preface $journal $nameOfConference
    • Keller G, Howard PJ, Klages R (2008), Continuity properties of transport coefficients in simple maps NONLINEARITY $nameOfConference
    • Klages R (2008), From Deterministic Chaos to Anomalous Diffusion $journal $nameOfConference
    • Keller G, Howard PJ, Klages R (2008), Continuity properties of transport coefficients in simple maps $journal $nameOfConference
    • Dieterich P, Klages R, Preuss R et al. (2008), Anomalous dynamics of cell migration. Proc Natl Acad Sci U S A $nameOfConference
    • Klages R (2008), Anomalous transport - Foundations and Applications $journal $nameOfConference
    • Klages R (2007), Chaos: A Very Short Introduction Journal of Physics A: Mathematical and Theoretical $nameOfConference
    • Korabel N, Klages R, Chechkin AV et al. (2007), Fractal properties of anomalous diffusion in intermittent maps. Phys Rev E Stat Nonlin Soft Matter Phys $nameOfConference
    • KLAGES RG (2007), Chaos -- A very short introduction Physik Journal $nameOfConference
    • KLAGES RG (2007), Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics $journal $nameOfConference
    • Korabel N, Klages R, Chechkin AV et al. (2006), Fractal Properties of Anomalous Diffusion in Intermittent Maps $journal $nameOfConference
    • Korabel N, Chechkin AV, Klages R et al. (2005), Understanding anomalous transport in intermittent maps: From continuous-time random walks to fractals EUROPHYS LETT $nameOfConference
    • KLAGES RG, Schwab A, Stock C et al. (2005), Brownian motion of migrating cells?, in: E.Schoell, K.Luedge (Eds.), XXV $journal Dynamics Days Europe 2005: Book of Abstracts. Europhysics Conference
    • KLAGES RG (2005), Deterministic chaos and diffusion: from theory to experiment $journal Diffusion Fundamentals, Leipziger Universitaetsverlag, Leipzig
    • Klages R, Barna IF, Matyas L (2004), Spiral modes in the diffusion of a single granular particle on a vibrating surface PHYS LETT A $nameOfConference
    • Klages R, Barna IF, Matyas L (2004), Spiral modes in the diffusion of a granular particle on a vibrating surface $journal $nameOfConference
    • Korabel N, Chechkin AV, Klages R et al. (2004), Understanding Anomalous Transport in Intermittent Maps: From Continuous Time Random Walks to Fractals $journal $nameOfConference
    • Korabel N, Klages R (2004), Deterministic diffusion in smooth nonlinear maps $journal $nameOfConference
    • Korabel N, Klages R (2004), Fractality of deterministic diffusion in the nonhyperbolic climbing sine map Physica D-Nonlinear Phenomena $nameOfConference
    • Matyas L, Klages R (2004), Irregular diffusion in the bouncing ball billiard PHYSICA D-NONLINEAR PHENOMENA $nameOfConference
    • Klages R, van Beijeren H, Gaspard P et al. (2004), Microscopic chaos and transport in many-particle systems - Preface PHYSICA D $nameOfConference
    • KLAGES RG, Gaspard P, van Beijeren H et al. (2004), Special issue on Microscopic Chaos and Transport in Many-Particle Systems $journal $nameOfConference
    • Klages R (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
    • Klages R, Klauss T (2003), Fractal fractal dimensions of deterministic transport coefficients J PHYS A-MATH GEN $nameOfConference
    • Klages R, Klauss T (2003), Fractal fractal dimensions of deterministic transport coefficients $journal $nameOfConference
    • KLAGES RG, Korabel N (2003), Fractality of deterministic diffusion in nonhyperbolic maps $journal Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38
    • KLAGES RG (2003), Irregular diffusion in the bouncing ball billiard $journal Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38
    • KLAGES RG (2003), Transitions from deterministic to stochastic diffusion $journal Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38
    • Korabel N, Klages R (2002), Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems PHYS REV LETT $nameOfConference
    • Matyas L, Klages R (2002), Irregular diffusion in the bouncing ball billiard $journal $nameOfConference
    • Korabel N, Klages R (2002), Fractality of deterministic diffusion in the nonhyperbolic climbing sine map $journal $nameOfConference
    • Groeneveld J, Klages R (2002), Negative and nonlinear response in an exactly solved dynamical model of particle transport J STAT PHYS $nameOfConference
    • Harayama T, Klages R, Gaspard P (2002), Deterministic diffusion in flower-shaped billiards PHYS REV E $nameOfConference
    • Groeneveld J, Klages R (2002), Negative and Nonlinear Response in an Exactly Solved Dynamical Model of Particle Transport $journal $nameOfConference
    • Klages R (2002), Comment on "Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map" PHYS REV E $nameOfConference
    • Korabel N, Klages R (2002), Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems $journal $nameOfConference
    • Klages R, Korabel N (2002), Understanding deterministic diffusion by correlated random walks J PHYS A-MATH GEN $nameOfConference
    • Klages R (2002), Suppression and enhancement of diffusion in disordered dynamical systems. Phys Rev E Stat Nonlin Soft Matter Phys $nameOfConference
    • Harayama T, Klages R, Gaspard P (2002), Deterministic diffusion in flower shape billiards $journal $nameOfConference
    • Klages R (2002), Comment on ``Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map'' $journal $nameOfConference
    • Rateitschak K, Klages R (2002), Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering PHYS REV E $nameOfConference
    • Klages R (2002), Transitions from deterministic to stochastic diffusion EUROPHYS LETT $nameOfConference
    • Klages R, Korabel N (2002), Understanding deterministic diffusion by correlated random walks $journal $nameOfConference
    • Korabel N, Klages R (2002), Fractal Structures of Normal and Anomalous Diffusion in Nonlinear Nonhyperbolic Dynamical Systems Physical Review Letters $nameOfConference
    • KLAGES RG (2002), Suppression and enhancement of deterministic diffusion in disordered dynamical systems Phys. Rev. E $nameOfConference
    • KLAGES RG, Klages R (2002), Transitions from deterministic to stochastic diffusion Europhys. Lett. $nameOfConference
    • Klages R, Korabel N (2002), Understanding deterministic diffusion by correlated random walks J. Phys. A: Math. Gen. $nameOfConference
    • Klages R (2001), Transitions from deterministic to stochastic diffusion $journal $nameOfConference
    • Rateitschak K, Klages R (2001), Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering $journal $nameOfConference
    • Klages R (2001), Suppression and Enhancement of Diffusion in Disordered Dynamical Systems $journal $nameOfConference
    • KLAGES RG (2001), Zufallsbewegung und deterministische Diffusion im periodischen Lorentzgas $journal University of Hamburg, Hamburg, Germany Verhandl. DPG (VI) 38
    • Klages R, Dellago C (2000), Density-dependent diffusion in the periodic Lorentz gas JOURNAL OF STATISTICAL PHYSICS $nameOfConference
    • Rateitschak K, Klages R, Hoover WG (2000), The Nose-Hoover thermostated Lorentz gas JOURNAL OF STATISTICAL PHYSICS $nameOfConference
    • Klages R, Rateitschak K, Nicolis G (publicationYear), Thermostating by Deterministic Scattering: Construction of Nonequilibrium Steady States Physical Review Letters $nameOfConference
    • KLAGES RG, Dellago C (2000), Density-dependent diffusion in the periodic Lorentz gas J. Stat. Phys. $nameOfConference
    • Rateitschak K, KLAGES RG, Hoover WG (2000), The Nosé-Hoover thermostated Lorentz gas J. Stat. Phys. $nameOfConference
    • KLAGES RG, Rateitschak K, Nicolis G (2000), Thermostating by deterministic scattering: Construction of Nonequilibrium Steady States Phys. Rev. Lett. $nameOfConference
    • Rateitschak K, KLAGES RG, Nicolis G (2000), Thermostating by deterministic scattering: the periodic Lorentz gas J. Stat. Phys. $nameOfConference
    • Rateitschak K, Klages R, Hoover WG (1999), The Nose-hoover thermostated Lorentz gas $journal $nameOfConference
    • Klages R, Dellago C (1999), Density-dependent diffusion in the periodic Lorentz gas $journal $nameOfConference
    • KLAGES RG, Dorfman JR (1999), Simple deterministic dynamical systems with fractal diffusion coefficients Phys. Rev. E $nameOfConference
    • Wagner C, KLAGES RG, Nicolis G (1999), Thermostating by deterministic scattering: heat and shear flow Phys. Rev. E $nameOfConference
    • Gaspard P, KLAGES RG (1998), Chaotic and fractal properties of deterministic diffusion-reaction processes Chaos $nameOfConference
    • KLAGES RG, Dorfman JR (1997), Dynamical crossover in deterministic diffusion Phys. Rev. E $nameOfConference
    • Klages R, Dorfman JR (1996), Backscattering-Induced Crossover in Deterministic Diffusion Published to ArXiv.org $nameOfConference
    • KLAGES R (1996), Deterministic Diffusion in One-Dimensional Chaotic Dynamical Systems $journal $nameOfConference
    • KLAGES RG, Dorfman JR (1995), Simple maps with fractal diffusion coefficients Phys. Rev. Lett. $nameOfConference

Supervision

 5 postdocs, 6 PhD students, 17 masters students

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