Dr Rainer KlagesReader in Applied MathematicsEmail: r.klages@qmul.ac.ukTelephone: +44 (0)20 7882 5448Room Number: Mathematical Sciences Building, Room: MB-425Website: http://www.maths.qmul.ac.uk/~klages/Support Hours: Thu 7/12 and Thu 14/12, 15.30-16.30h: online on https://whereby.com/rainerklages\nor by e-mail appointmentProfileTeachingResearchPublicationsSupervisionProfile 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. TeachingEssential Mathematical Skills (foundation year)Undergraduate TeachingCalculus 2, Calculus 1, Differential Equations, Quantum TheoryPostgraduate TeachingIntroduction to Dynamical Systems (MSc), Applied Dynamical Systems (PhD)ResearchExamples of research funding:Office of Naval Research Global, Mercator Foundation, London Mathematical Laboratory, Max Planck Society, EPSRC, German Research Foundation, German Academic Exchange ServicePublicationsSelected publications: M.Giona, A.Cairoli, R.Klages, Extended Poisson-Kac theory: A unifying framework for stochastic processes with finite propagation velocity, Phys. Rev. X 12, 021004/1--24 (2022)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 pagesP.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 pagesR.Klages, J.R.Dorfman, Simple maps with fractal diffusion coefficients, Phys. Rev. Lett. 74, 387-390 (1995) Klages R (2023). Search for Food of Birds, Fish, and Insects journal nameOfConference. 10.1007/978-3-031-05946-9_4 qmroHref Khadem M, Klages R, Klapp S (2022). Stochastic thermodynamics of fractional Brownian motion Physical Review Research nameOfConference. 10.1103/PhysRevResearch.4.043186 https://qmro.qmul.ac.uk/xmlui/handle/123456789/83671 Giona M, Cairoli A, Klages R (2022). In the folds of the Central Limit Theorem: Lévy walks, large deviations and higher-order anomalous diffusion Journal of Physics A: Mathematical and Theoretical nameOfConference. 10.1088/1751-8121/aca3e0 https://qmro.qmul.ac.uk/xmlui/handle/123456789/83463 Dieterich P, Lindemann O, Moskopp ML et al. (2022). Anomalous diffusion and asymmetric tempering memory in neutrophil chemotaxis. PLoS Computational Biology nameOfConference. 10.1371/journal.pcbi.1010089 https://qmro.qmul.ac.uk/xmlui/handle/123456789/79018 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. 10.1103/physrevx.12.021004 https://qmro.qmul.ac.uk/xmlui/handle/123456789/78724 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. 10.3390/e24020201 https://qmro.qmul.ac.uk/xmlui/handle/123456789/77029 Khadem SMJ, Klapp SHL, Klages R (2021). Search efficiency of discrete fractional Brownian motion in a random distribution of targets Physical Review Research nameOfConference. 10.1103/physrevresearch.3.023169 https://qmro.qmul.ac.uk/xmlui/handle/123456789/72724 Watkins NW, Chapman SC, Chechkin A et al. (2021). On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature journal nameOfConference. 10.1007/978-3-030-67318-5_29 qmroHref 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. 10.1088/1367-2630/ab41bb https://qmro.qmul.ac.uk/xmlui/handle/123456789/60824 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. 10.1088/1751-8121/ab38eb https://qmro.qmul.ac.uk/xmlui/handle/123456789/59769 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. 10.1140/epjst/e2019-800136-8 https://qmro.qmul.ac.uk/xmlui/handle/123456789/57600 Sato Y, Klages R (2019). Anomalous Diffusion in Random Dynamical Systems Physical Review Letters nameOfConference. 10.1103/physrevlett.122.174101 https://qmro.qmul.ac.uk/xmlui/handle/123456789/57294 KLAGES RG, Gallegos SSG, Solanpaa J et al. (2019). Normal and anomalous diffusion in soft Lorentz gases Physical Review Letters nameOfConference. 10.1103/PhysRevLett.122.064102 https://qmro.qmul.ac.uk/xmlui/handle/123456789/55064 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. 10.1073/pnas.1717292115 https://qmro.qmul.ac.uk/xmlui/handle/123456789/38304 KLAGES R (2018). Search for food of birds, fish and insects journal nameOfConference. 10.1007/978-3-319-67798-9_4 qmroHref KLAGES RG, Nava-Sedeno JM, Hatzikirou H et al. (2017). Cellular automaton models for time-correlated random walks: derivation and analysis Scientific Reports nameOfConference. 10.1038/s41598-017-17317-x https://qmro.qmul.ac.uk/xmlui/handle/123456789/29183 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. 10.1140/epjb/e2017-80372-4 https://qmro.qmul.ac.uk/xmlui/handle/123456789/25304 Dieterich P, Lindemann O, Moskopp ML et al. (2017). Asymmetric anomalous diffusion of chemotacting neutrophils ACTA PHYSIOLOGICA nameOfConference. doi qmroHref Klages R (2017). Chaos in Statistical Physics journal nameOfConference. 10.1142/9781786341044_0001 qmroHref 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. 10.1088/1751-8113/49/39/394002 https://qmro.qmul.ac.uk/xmlui/handle/123456789/15547 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. 10.1103/PhysRevE.94.012104 https://qmro.qmul.ac.uk/xmlui/handle/123456789/13058 KLAGES RG (2015). Extrem gesucht Physik Journal nameOfConference. doi https://qmro.qmul.ac.uk/xmlui/handle/123456789/13759 Salari L, Rondoni L, Giberti C et al. (publicationYear). A simple non-chaotic map generating subdiffusive, diffusive and superdiffusive dynamics Chaos nameOfConference. 10.1063/1.4926621 https://qmro.qmul.ac.uk/xmlui/handle/123456789/10930 Dieterich P, Klages R, Chechkin AV (2015). Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations New Journal of Physics nameOfConference. 10.1088/1367-2630/17/7/075004 https://qmro.qmul.ac.uk/xmlui/handle/123456789/10779 Rodrigues CS, Chechkin AV, De Moura APS et al. (2014). Diffusion in randomly perturbed dissipative dynamics EPL nameOfConference. 10.1209/0295-5075/108/40002 https://qmro.qmul.ac.uk/xmlui/handle/123456789/6733 Klages R (2013). Nonequilibrium Statistical Physics of Small Systems - Fluctuation Relations and Beyond journal nameOfConference. 10.1002/9783527658701 qmroHref KLAGES RG, Wolfram J, Jarzynski C et al. (2013). Anomalous fluctuation relations journal nameOfConference. 10.1002/9783527658701.ch8 qmroHref Lenz F, Chechkin AV, Klages R (2013). Constructing a stochastic model of bumblebee flights from experimental data. PLoS One nameOfConference. 10.1371/journal.pone.0059036 https://qmro.qmul.ac.uk/xmlui/handle/123456789/5119 KLAGES RG (2013). Weak chaos, infinite ergodic theory, and anomalous dynamics journal nameOfConference. 10.1007/978-1-4614-6962-9_1 qmroHref Chechkin AV, Lenz F, Klages R (2012). Normal and anomalous fluctuation relations for Gaussian stochastic dynamics JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT nameOfConference. 10.1088/1742-5468/2012/11/L11001 qmroHref Knight G, Georgiou O, Dettmann CP et al. (2012). Dependence of chaotic diffusion on the size and position of holes. Chaos nameOfConference. 10.1063/1.4721887 qmroHref Lenz F, Ings TC, Chittka L et al. (2012). Spatiotemporal Dynamics of Bumblebees Foraging under Predation Risk PHYSICAL REVIEW LETTERS nameOfConference. 10.1103/PhysRevLett.108.098103 https://qmro.qmul.ac.uk/xmlui/handle/123456789/17122 Waldner F, Klages R (2012). Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisited CHAOS SOLITONS & FRACTALS nameOfConference. 10.1016/j.chaos.2011.12.014 qmroHref 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. doi qmroHref Knight G, Klages R (2011). Capturing correlations in chaotic diffusion by approximation methods PHYS REV E nameOfConference. 10.1103/PhysRevE.84.041135 qmroHref 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. 10.1088/1742-5468/2011/04/P04021 qmroHref KLAGES RG (2011). Chaos -- The Science of Predictable Random Motion Physik Journal nameOfConference. doi qmroHref Knight G, Klages R (2011). Linear and fractal diffusion coefficients in a family of one-dimensional chaotic maps NONLINEARITY nameOfConference. 10.1088/0951-7715/24/1/011 qmroHref Klages R (2010). From Deterministic Chaos to Anomalous Diffusion journal nameOfConference. 10.1002/9783527630967.ch6 qmroHref Klages R, Radons G, Sokolov IM (2010). Anomalous Transport: Experimental Results and Theoretical Challenges Physik Journal nameOfConference. doi qmroHref KLAGES RG (2010). From deterministic chaos to anomalous diffusion journal nameOfConference. doi qmroHref Chechkin AV, Klages R (2009). Fluctuation relations for anomalous dynamics J STAT MECH-THEORY E nameOfConference. 10.1088/1742-5468/2009/03/L03002 qmroHref Klages R, Radons G, Sokolov IM (2008). Preface journal nameOfConference. 10.1002/9783527622979 qmroHref Keller G, Howard PJ, Klages R (2008). Continuity properties of transport coefficients in simple maps NONLINEARITY nameOfConference. 10.1088/0951-7715/21/8/003 qmroHref Dieterich P, Klages R, Preuss R et al. (2008). Anomalous dynamics of cell migration. Proc Natl Acad Sci U S A nameOfConference. 10.1073/pnas.0707603105 qmroHref Klages R (2008). Anomalous transport - Foundations and Applications journal nameOfConference. 10.1002/9783527622979 qmroHref Klages R (2007). Chaos: A Very Short Introduction Journal of Physics A: Mathematical and Theoretical nameOfConference. 10.1088/1751-8121/40/29/b03 qmroHref 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. 10.1103/PhysRevE.75.036213 qmroHref KLAGES RG (2007). Chaos -- A very short introduction Physik Journal nameOfConference. doi qmroHref KLAGES RG (2007). Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics journal nameOfConference. 10.1142/5945 qmroHref 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. 10.1209/epl/i2004-10460-6 qmroHref 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. doi qmroHref KLAGES RG (2005). Deterministic chaos and diffusion: from theory to experiment journal Diffusion Fundamentals, Leipziger Universitaetsverlag, Leipzig. doi qmroHref 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. 10.1016/j.physleta.2004.09.085 qmroHref Korabel N, Klages R (2004). Deterministic diffusion in smooth nonlinear maps journal nameOfConference. doi qmroHref Korabel N, Klages R (2004). Fractality of deterministic diffusion in the nonhyperbolic climbing sine map Physica D-Nonlinear Phenomena nameOfConference. doi qmroHref Matyas L, Klages R (2004). Irregular diffusion in the bouncing ball billiard PHYSICA D-NONLINEAR PHENOMENA nameOfConference. 10.1016/j.physd.2003.09.008 qmroHref Klages R, van Beijeren H, Gaspard P et al. (2004). Microscopic chaos and transport in many-particle systems - Preface PHYSICA D nameOfConference. 10.1016/j.physd.2003.09.025 qmroHref KLAGES RG, Gaspard P, van Beijeren H et al. (2004). Special issue on Microscopic Chaos and Transport in Many-Particle Systems journal nameOfConference. doi qmroHref 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. doi qmroHref Klages R, Klauss T (2003). Fractal fractal dimensions of deterministic transport coefficients J PHYS A-MATH GEN nameOfConference. 10.1088/0305-4470/36/21/305 qmroHref KLAGES RG, Korabel N (2003). Fractality of deterministic diffusion in nonhyperbolic maps journal Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38. doi qmroHref KLAGES RG (2003). Irregular diffusion in the bouncing ball billiard journal Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38. doi qmroHref KLAGES RG (2003). Transitions from deterministic to stochastic diffusion journal Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38. doi qmroHref Korabel N, Klages R (2002). Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems PHYS REV LETT nameOfConference. 10.1103/PhysRevLett.89.214102 qmroHref Groeneveld J, Klages R (2002). Negative and nonlinear response in an exactly solved dynamical model of particle transport J STAT PHYS nameOfConference. 10.1023/A:1020487219455 qmroHref Harayama T, Klages R, Gaspard P (2002). Deterministic diffusion in flower-shaped billiards PHYS REV E nameOfConference. 10.1103/PhysRevE.66.026211 qmroHref Klages R (2002). Comment on "Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map" PHYS REV E nameOfConference. 10.1103/PhysRevE.66.018201 qmroHref Klages R, Korabel N (2002). Understanding deterministic diffusion by correlated random walks J PHYS A-MATH GEN nameOfConference. 10.1088/0305-4470/35/23/302 qmroHref Klages R (2002). Suppression and enhancement of diffusion in disordered dynamical systems. Phys Rev E Stat Nonlin Soft Matter Phys nameOfConference. 10.1103/PhysRevE.65.055203 qmroHref Rateitschak K, Klages R (2002). Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering PHYS REV E nameOfConference. 10.1103/PhysRevE.65.036209 qmroHref Klages R (2002). Transitions from deterministic to stochastic diffusion EUROPHYS LETT nameOfConference. 10.1209/epl/i2002-00581-4 qmroHref Korabel N, Klages R (2002). Fractal Structures of Normal and Anomalous Diffusion in Nonlinear Nonhyperbolic Dynamical Systems Physical Review Letters nameOfConference. 10.1103/PhysRevLett.89.214102 qmroHref KLAGES RG (2002). Suppression and enhancement of deterministic diffusion in disordered dynamical systems Phys. Rev. E nameOfConference. doi qmroHref KLAGES RG, Klages R (2002). Transitions from deterministic to stochastic diffusion Europhys. Lett. nameOfConference. 10.1209/epl/i2002-00581-4 qmroHref Klages R, Korabel N (2002). Understanding deterministic diffusion by correlated random walks J. Phys. A: Math. Gen. nameOfConference. 10.1088/0305-4470/35/23/302 qmroHref KLAGES RG (2001). Zufallsbewegung und deterministische Diffusion im periodischen Lorentzgas journal University of Hamburg, Hamburg, Germany Verhandl. DPG (VI) 38. doi qmroHref Klages R, Dellago C (2000). Density-dependent diffusion in the periodic Lorentz gas JOURNAL OF STATISTICAL PHYSICS nameOfConference. 10.1023/a:1026445601619 https://qmro.qmul.ac.uk/xmlui/handle/123456789/37043 Rateitschak K, Klages R, Hoover WG (2000). The Nose-Hoover thermostated Lorentz gas JOURNAL OF STATISTICAL PHYSICS nameOfConference. 10.1023/a:1026447620778 qmroHref Klages R, Rateitschak K, Nicolis G (publicationYear). Thermostating by Deterministic Scattering: Construction of Nonequilibrium Steady States Physical Review Letters nameOfConference. 10.1103/physrevlett.84.4268 qmroHref KLAGES RG, Dellago C (2000). Density-dependent diffusion in the periodic Lorentz gas J. Stat. Phys. nameOfConference. doi qmroHref Rateitschak K, KLAGES RG, Hoover WG (2000). The Nosé-Hoover thermostated Lorentz gas J. Stat. Phys. nameOfConference. doi qmroHref KLAGES RG, Rateitschak K, Nicolis G (2000). Thermostating by deterministic scattering: Construction of Nonequilibrium Steady States Phys. Rev. Lett. nameOfConference. 10.1103/PhysRevLett.84.4268 qmroHref Rateitschak K, KLAGES RG, Nicolis G (2000). Thermostating by deterministic scattering: the periodic Lorentz gas J. Stat. Phys. nameOfConference. 10.1023/a:1018645007533 qmroHref KLAGES RG, Dorfman JR (1999). Simple deterministic dynamical systems with fractal diffusion coefficients Phys. Rev. E nameOfConference. 10.1103/PhysRevE.59.5361 qmroHref Wagner C, KLAGES RG, Nicolis G (1999). Thermostating by deterministic scattering: heat and shear flow Phys. Rev. E nameOfConference. 10.1103/PhysRevE.60.1401 qmroHref Gaspard P, KLAGES RG (1998). Chaotic and fractal properties of deterministic diffusion-reaction processes Chaos nameOfConference. 10.1063/1.166323 qmroHref KLAGES RG, Dorfman JR (1997). Dynamical crossover in deterministic diffusion Phys. Rev. E nameOfConference. 10.1103/PhysRevE.55.R1247 qmroHref Klages R, Dorfman JR (1996). Backscattering-Induced Crossover in Deterministic Diffusion Published to ArXiv.org nameOfConference. doi https://qmro.qmul.ac.uk/xmlui/handle/123456789/13743 KLAGES R (1996). Deterministic Diffusion in One-Dimensional Chaotic Dynamical Systems journal nameOfConference. doi qmroHref KLAGES RG, Dorfman JR (1995). Simple maps with fractal diffusion coefficients Phys. Rev. Lett. nameOfConference. 10.1103/PhysRevLett.74.387 qmroHref Supervision 5 postdocs, 7 PhD students, 17 masters students