School of Mathematical Sciences


The members of the Dynamical Systems and Statistical Physics group publish about 20-40 papers each year. In total, group members have received more than 20000 citations. 

List of publications 2013-2018 

Recent preprints

Pulications 2018

  • B. Schaefer, C. Beck, K. Aihara, D. Witthaut, and M. Timme, Non-Gaussian power grid frequency fluctuations characterized by Levy-stable laws and superstatistics, Nature Energy, 3, 119-126 (2018)
  • P. Jizba, J. Korbel, H. Lavicka, M. Proks, V. Svoboda, and C. Beck, Transitions between superstatistical regimes: Validity, breakdown and applications, Physica A 493, 29 (2018)
  • G.C. Yalcin and C. Beck, Generalized statistical mechanics of cosmic rays: Application to positron-electron spectral indices, Scientific Reports 8, 1764 (2018)
  • J. Roberts, G. Popli and R. J. Harris, Do environmental concerns affect commuting choices?: hybrid choice modelling with household survey data, J. R. Stat. Soc. A 181, 299 (2018)
  • R. Klages, Search for food of birds, fish and insects, invited book chapter in: A.Bunde, J.Caro, J.Kaerger, G.Vogl (Eds.), Diffusive Spreading in Nature, Technology and Society. (Springer, Berlin, 2018), p.49-69; ISBN 978-3-319-67798-9
  • C. J. Bradly, A. L. Owczarek and T. Prellberg, Universality of crossover scaling for the adsorption transition of lattice polymers, Phys. Rev. E 97 (2018) 022503
  • A. Narros, A. L. Owczarek and T. Prellberg, Anomalous polymer collapse winding angle distributions, J. Phys. A 51 (2018) 114001
  • T. J. Oliveira, W. G. Dantas, T. Prellberg and J. F. Stilck, Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares, J. Phys. A 51 (2018) 054001

Pulications 2017

Pulications 2016

Pulications 2015

  • O.F. Bandtlow and A. Gueven, Explicit upper bounds for the spectral distance of two trace class operators, Linear Algebra Appl. 466, 329 (2015)
  • K. Kosta, O.F. Bandtlow, and E. Chew, A change-point approach towards representing musical dynamics, in: T. Collins et al. (eds) MCM2015, LNAI 9110, 1 (2015)
  • K. Kosta, R. Ramirez, O. Bandtlow, E. Chew, Predicting loudness levels and classifying dynamic markings in recorded music. In Proceedings of 8th International Workshop on Machine Learning and Music (MML2015), Machine Learning for Music Generation, Vancouver (2015).
  • A. Cairoli and A. Baule, Langevin formulation of a subdiffusive continuous-time random walk in physical time(link is external), Phys. Rev. E 92, 012102 (2015).
  • W. Lie, S. Li, A. Baule, and H.A. Makse, Adhesive loose packings of small particles(link is external), Soft matter 11 (2015) 6492.
  • A. Cairoli and A. Baule, Anomalous processes with general waiting times: functionals and multi-point structure(link is external), Phys. Rev. Lett. 115 110601 (2015)
  • P. Rabassa and C. Beck, Superstatistical analysis of sealevel fluctuations, Physica A 417, 18 (2015)
  • G. Akram and C. Beck, Hierarchical cascade model leading to 7th-order initial value problem, Appl. Num. Math 91, 89 (2015)
  • C. Beck, Axion mass estimates from resonant Josephson junctions, Phys. Dark Universe 7-8, 6 (2015)
  • Yan V. Fyodorov, Dmitry V. Savin, Resonance width distribution in RMT: Weak coupling regime beyond Porter-Thomas, Europhys. Lett. Volume 110, 40006 (2015)
  • Yan V. Fyodorov, André Nock, On Random Matrix Averages Involving Half-Integer Powers of GOE Characteristic Polynomials, J Stat Phys, Volume 159, Issue 4, Pages 731-751 (2015)
  • Yan Fyodorov, Olivier Giraud, High values of disorder-generated multifractals and logarithmically correlated processes, Chaos, Solitons & Fractals, Volume 74, 15-26 (2015)
  • Yan Fyodorov, Antonio Lerario, Erik Lundberg, On the number of connected components of random algebraic hypersurfaces, J. Geom. Phys., Volume 95, Pages 1-20 (2015)
  • Yan V. Fyodorov, Anthony Perret, and Gregory Schehr, Large time zero temperature dynamics of the spherical p=2-spin model of finite size(link is external), J. Stat. Mech. 11 P11017 (2015)
  • R.J. Harris, Random walkers with extreme value memory: modelling the peak-end rule, New J. Phys. 17, 053049 (2015)
  • R.J. Harris, Fluctuations in interacting particle systems with memory(link is external), J. Stat. Mech. P07021 (2015)
  • M. Cavallaro, R.J. Mondragon, and R.J. Harris,Temporally correlated zero-range process with open boundaries: steady state and fluctuations(link is external),Phys. Rev. E 92, 022137 (2015)
  • M. Maitland, S. Grosskinsky and R. J. Harris, Large deviation analysis of a simple information engine(link is external), Phys. Rev. E92, 052136 (2015).
  • L. Salari, L. Rondoni, C. Gilberti, R. Klages, A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamics, Chaos 25, 073113/1-11 (2015)
  • C. H. Joyner and U. Smilansky, Spectral statistics of Bernoulli matrix ensembles: a random walk approach (I), J. Phys. A: Math. and Theor. , Vol. 48, No. 25 (2015)
  • P. Dieterich, R. Klages, and A.V. Chechkin, Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Plack equations, New J. Phys. 17, 075004/1-14 (2015)
  • N. Haug and T. Prellberg, Uniform asymptotics of area-weighted Dyck paths, J. Math. Phys. 56, 043301 (2015)
  • J. Krawczyk, A.L. Owczarek, and T. Prellberg, A semi-flexible attracting segment model of three-dimensional  polymer collapse, Physica A 431, 74 (2015)
  • P.R.G. Mortimer and T. Prellberg, On the number of walks in a triangular domain, Electron. J. Combinat. 22, P1.64 (2015)
  • E. Dagrosa, A.L. Owczarek and T. Prellberg, Writhe-induced knotting in a lattice polymer, J. Phys. A 48, 065002 (2015)
  • C. Marschler, J. Sieber, P. Hjorth, and J. Starke,  Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow. Pages 423-439 in M. Chraibi, M. Boltes, A. Schadschneider, A. Seyfried, (Eds.): Traffic and Granular Flow 13. Springer International Publishing, Heidelberg, New York (2015).
  • F. Schilder, E. Bureau, I. Santos, J. Thomsen, and J. Starke, Experimental Bifurcation Analysis: Continuation for Noise-Contaminated Zero Problems, Journal of Sound and Vibration 358, 251-266 (2015).
  • C. Marschler.,J. Starke, M.P. Sørensen.,Y. Gaididei, and P.L. Christiansen, Pattern formation in annular systems of repulsive particles, Physics Letters A 380, 166-170 (2015).
  • H. Reeve-Black and F. Vivaldi, Asymptotics in a family of linked strip maps, Physica D 290, 57 (2015)
  • J.A.G.R. Roberts and F. Vivaldi, Arithmetic exponents for piecewise-affine planar maps(link is external), Physica D 298 (2015)
  • T. Jüngling, I. Fischer, E. Schöll, and W. Just; Synchronisation of heterogeneous oscillators by non-invasive time delayed cross-coupling, Phys. Rev. Lett. 115 (2015) 194101.

Publications 2014

  • R. Villavicencio-Sanchez, R.J. Harris and H. Touchette, Fluctuation relations for anisotropic systems, EPL 105, 30009 (2014)
  • D. Khoromskaia, R.J. Harris, and S.W. Grosskinsky, Dynamics of non-Markovian exclusion processes, J. Stat. Mech. P12013 (2014)
  • F. Vivaldi, Mathematical Writing, Springer, London (2014)
  • G. M. Schütz, R. J. Harris and A. Rákos, Fluctuation theorems for stochastic interacting particle systems, Markov Processes and Related Fields 20, 3 (2014)
  • P. Rabassa and C. Beck, Extreme value laws for superstatistics, Entropy 16, 5523 (2014)
  • S. Miah and C. Beck, Lagrangian quantum turbulence model based on alternating superfluid/normal fluid stochastic dynamics, EPL 108, 40004 (2014)
  • S. Groote, H. Veermae, and C. Beck, Renormalization aspects of chaotic strings, J. Phys. Conf. Ser. 532, 012008 (2014)
  • P.R.G Mortimer and T. Prellberg, A Bijection on Dyck Paths, Australas. J. Combinat. 59, 72 (2014)
  • A. Bedini, A.L. Owczarek and T. Prellberg, Lattice polymers with two competing interactions, J. Phys. A 47, 145002 (2014)
  • A.L. Owczarek and T. Prellberg, Pressure exerted by a vesicle on a surface, J. Phys. A 47, 215001 (2014)
  • A. Baule and H. Makse, Fundamental challenges in the packing problem: from sperical to non-sperical particles, Soft Matter 10, 4423 (2014)
  • C.S. Rodrigues, A.V. Chechkin, A.P.S. de Moura, C. Grebogi, and R. Klages, Diffusion in randomly perturbed dissipative dynamics, EPL 108, 40002 (2014)
  • O.F. Bandtlow, O. Jenkinson, and M. Pollicott, Periodic points, escape rates and escape measures, in: W. Bahsoun, C. Bose, G. Froyland (eds), Ergodic Theory, Open Dynamics, and Coherent Structures, Springer, New York, pp 41-58 (2014)
  • O.F. Bandtlow and O. Jenkinson, Eigenvalues of transfer operators for dynamical systems with holes, in: W. Bahsoun, C. Bose, G. Froyland (eds), Ergodic Theory, Open Dynamics, and Coherent Structures, Springer, New York, pp 31-39 (2014)
  • K. Kosta, O. Bandtlow, E. Chew, Practical Implications of Dynamic Markings in the Score: Is piano always piano? In Proceedings of the 53rd Audio Engineering Society (AES) Meeting on Semantic Audio, Jan 26-29, London, UK. (2014).
  • K. Kosta, O. Bandtlow and E. Chew, A Study of Score Context-dependent Dynamics in Piano Performance. In Proceedings of the Performance Studies Network International Conference (PSN3), Jul 17-20, Cambridge, UK. (2014)
  • Y. Chen and W. Just: First-passage time of Brownian motion with dry friction, Phys Rev. E 89 (2014) 022103.
  • Y. Chen and W. Just: On large deviation properties of Brownian motion with dry friction, Phys Rev. E 90 (2014) 042101.
  • P. M. Geffert, A. Zakharova, A. Vüllings, W.Just, and E. Schöll: Modulating coherence resonance in non-excitable systems by time-delayed feedback, Eur. J. Phys. B 87(2014) 291.

Publications 2013 

  • A Baule, R. Mari, L. Bo, L. Portal, and H.A. Makse, Mean field theory of random close packings of axisymmetric particles, Nature Commun. 4, 1294 (2013)
  • L. Portal, M. Danisch, A. Baule, R. Mari, and H.A. Makse, Calculation of the Voronoi boundary for lens-shaped particles and spherocylinders, J. Stat. Mech. P1109 (2013)
  • A. Baule and P. Sollich, Rectification of asymmetric surface vibrations with dry friction: An exactly solvable model, Phys. Rev. E 87,  032112 (2013)
  • C. Beck, Possible resonance effect of axionic dark matter in Josephson junctions, Phys. Rev. Lett. 111 231801 (2013)
  • G.C. Yalcin and C. Beck, Environmental Superstatistics, Physica A 392 5431 (2013)
  • S. Groote, H. Veermae, and C. Beck, Renormalization group approach to chaotic strings, Chaos Sol. Fractals 53, 18 (2013)
  • C. Beck and S. Miah, Statistics of Lagrangian quantum turbulence, Phys Rev. E 87, 031002(R) (2013)
  • R.J. Harris, V. Popkov and G.M. Schütz, Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current,   Entropy 15, 5065 (2013)
  • F.Lenz, A.V.Chechkin, R.Klages, Constructing a stochastic model of bumblebee flights from experimental data, PLoS ONE 8 e59036/1-7 (2013)
  • R.Klages, Weak chaos, infinite ergodic theory, and anomalous dynamics, book chapter in: X.Leoncini and M.Leonetti (Eds.), From Hamiltonian Chaos to Complex Systems (Springer, Berlin, July 2013), p.3-42
  • R.Klages, A.V.Chechkin, P.Dieterich, Anomalous fluctuation relations, book chapter in: R.Klages, W.Just, C.Jarzynski (Editors), Nonequilibrium Statistical Physics of Small Systems (Wiley-VCH, Weinheim, February 2013), p.259-282
  • R. Klages, W. Just, C. Jarzynski (Editors), Nonequilibrium statistical physics of small systems: Fluctuation relations and beyond (Wiley-VCH, Weinheim, February 2013)
  • A. Bedini, A.L. Owczarek and T. Prellberg, Weighting of topologically different interactions in a model of two-dimensional polymer collapse, Phys. Rev. E 87, 012142 (2013)
  • A. Bedini, A.L. Owczarek and T. Prellberg, Semi-flexible interacting self-avoiding trails on the square lattice, Physica A 392, 1602 (2013)
  • A. Bedini, A.L. Owczarek and T. Prellberg, Self-avoiding trails with nearest neighbour interactions on the square lattice, J. Phys. A 46, 085001 (2013)
  • A. Bedini, A.L. Owczarek and T. Prellberg, Numerical simulation of a lattice polymer model at its integrable point, J. Phys. A 46,  265003 (2013)
  • E. J. Janse van Rensburg and T. Prellberg, The pressure of adsorbing directed lattice paths and staircase polygons,' J. Phys. A 46,  115202 (2013)
  • H. Reeve-Black and F. Vivaldi, Near-integrable behaviour in a family of discretised rotations, (link is external) Nonlinearity 26,  1227 (2013)
  • J. Slipantschuk, O. Bandtlow, and W. Just, On the relation between Lyapunov exponents and exponential decay of correlations, J. Phys. A. 46, 075101 (2013)
  • J. Slipantschuk, O.F. Bandtlow, and W. Just; Analytic expanding circle maps with explicit spectra, Nonlinearity 26, 3231 (2013)
  • J. Slipantschuk, O.F. Bandtlow, and W. Just; On correlation decay in low-dimensional systems, EPL 104, 20004 (2013)
  • H. Touchette and R. J. Harris, Large deviation approach to nonequilibrium systems, chapter for book [R. Klages, W. Just, C. Jarzynski (Eds.), Nonequilibrium Statistical Physics of Small Systems: Fluctuation Relations and Beyond (Wiley-VCH, Weinheim) (2013); ISBN 978-3-527-41094-1)].
  • Y. Chen, A. Baule, H. Touchette, and W. Just; Weak-noise limit of a piecewise-smooth stochastic differential equation, Phys. Rev. E 88, 052103 (2013) 
  • T. Prellberg, Rare event sampling with stochstic growth algorithm, EPJ Web of Conferences 44, 01001 (2013)