**Overview**

The members of the group publish about 20-40 papers each year, a detailed list of publications for the period 2013-2015 is given below. Publications prior to 2013 can be found here. In total, the published papers and books of the group members have received more than 20000 citations.

**List of publications 2013-2016 **

**Recent preprints**

- O.F. Bandtlow and Hans Henrik Rugh, Entropy-continuity for interval maps with holes, in press (2016)
- O.F. Bandtlow and F.Naud, Lower bounds for the Ruelle spectrum of analytic expanding circle maps, preprint (2016)
- K. Kosta, O. F. Bandtlow, E. Chew, Dynamics and Relativity: Practical Implications of Dynamic Markings in the Score, submitted to Journal of New Music Research (2017).
- J. Roberts, G. Popli, and R.J. Harris, Do environmental concerns affect commuting choices? Hybrid choice modelling with houshold survey data, (preprint, 2016).
- R. J. Harris and H. Touchette, Phase transitions in large deviations of reset processes, preprint (2016).
- T. Prellberg, The combinatorics of the leading root of the partial Theta function, submitted to Adv. Math (2016)
- E. Dagrosa, A. L. Owczarek and T. Prellberg, Writhe induced phase transition in unknotted self-avoiding polygons, submitted to JSTAT (2016)
- E. Dagrosa, A. L. Owczarek and T. Prellberg, Phase Diagram of Twist Storing Lattice Polymers in Variable Solvent Quality, submitted to JSTAT (2016)
- A. Bedini, A. L. Owczarek and T. Prellberg, Self-attracting polymers in two dimensions with three low-temperature phases, submitted to J. Phys. A (2016)
- N. Haug, A. Olde Daalhuis and T. Prellberg, Higher-order Airy scaling in deformed Dyck paths, submitted to J. Stat. Phys. (2016)
- N. Haug, T. Prellberg and G. Siudem, Scaling in area-weighted generalised Motzkin paths, submitted to J. Phys. A (2016).
- J.H. Lowenstein and F. Vivaldi, Renormalization of a one-parameter family of piecewise isometries, to appear in Dynamical Systems (2016)
- P. M. Geffert and W. Just; Nonequilibrium dynamics of a pure dry friction model subjected to coloured noise, preprint (2016).
- L. Lacasa and W. Just;Visibility graphs and symbolic dynamics, preprint (2017)

**Pulications 2017**

- O.F. Bandtlow, W. Just, and J. Slipantschuk, Spectral structure of transfer operators for expanding circle maps,
*Ann. Inst. H. Poinc. C***34**31 (2017) - J. Slipantschuk, O.F. Bandtlow, and W. Just, Complete spectral data for analytic Anosov maps of the torus,
*Nonlinarity***30**2667 (2017) - L. Tumash, A. Zakharova, J. Lehnert, W. Just, and E. Schöll; Stability of amplitude chimeras in oscillator networks,
*Europhys. Lett.***117**20001 (2017)

**Pulications 2016**

- K. Kosta, R. Ramirez, O.F. Bandtlow and E. Chew, Mapping between dynamic markings and performed loudness: A machine learning approach,
*Journal of Mathematics and Music***10**149-172 (2016). - K. Kosta, O. Bandtlow, E. Chew, Outliers in Performed Loudness Transitions: An Analysis of Chopin Mazurka Recordings. In Proceedings of the 14th International Conference for Music Perception and Cognition (ICMPC), pp. 601-604, July 5-9, San Francisco, California, USA (2016).
- C. Penrose and C. Beck, Superstatistics of Blaschke products,
*Dyn. Syst.***31**, 89-105 (2016) - C. Beck, Cosmological flux noise and measured noise power spectra in SQUIDs, Scientific Reports 6, 28275 (2016)
- D. Xu and C. Beck, Transitions from lognormal to chi-square superstatistics, Physica A 453, 173 (2016)
- C. Yalcin, P. Rabassa, and C. Beck, Extreme event statistics of daily rainfall: Dynamical systems approach, J. Phys. A Math. Theor. 49, 154001 (2016)
- Yan V. Fyodorov and Boris A. Khoruzhenko, A Nonlinear Analogue of May-Wigner Instability Transition,
*PNAS***113**6827(2016) - Yan. V. Fyodorov, Antti Kupiainen, and Christian Webb, Towards rigorous analysis of the Levitov-Mirlin-Evers recursion,
*Nonlinearity***29**3871 (2016) - Yan V. Fyodorov, Nicholas J. Simm, On the distribution of maximum value of the characteristic polynomial of GUE random matrices,
*Nonlinearity***29**2837(2016) - D. Karevski and R. J. Harris, Defect production in quench from current-carrying non-equilibrium state,
*J. Stat. Mech.*033204 (2016). - R. Villavicencio-Sanchez and R. J. Harris, Local structure of current fluctuations in diffusive systems beyond one dimension,
*Phys. Rev. E***93**, 032134 (2016). - A. Rehemanjiang, M. Allgaier, C. H. Joyner, S. Müller, M. Sieber, U. Kuhl, and H.-J. Stöckmann, Microwave Realization of the Gaussian Symplectic Ensemble,
*Phys. Rev. Lett.***117**064101 (2016) - M. Cavallaro and R. J. Harris, A framework for the direct evaluation of large deviations in non-Markovian processes,
*J. Phys. A: Math. Theor.***49**, 47LT02 (2016). - R. Klages, Extrem gesucht,
*Physik Journal***14**(12), 22-23 (2015) (News and Views article, in German) - J.P. Taylor-King, R. Klages, S. Fedotov, and R.A. Van Gorder, A Fractional Diffusion Equation for an n-Dimensional Correlated Levy Walk,
*Phys. Rev. E***94**, 012104/1 (2016) - V. Palyulin, A. Chechkin, R. Klages, and R. Metzler, Search reliability and search efficiency of combined Levy-Brownian motion: long relocations mingled with thorough local exploration,
*J.Phys.A: Math. Theor.***49**, 394002 (2016) (Marian Smoluchowski special issue) - R. Klages, Chaos in Statistical Physics, invited book chapter in: S.Bullet, T.Fearn, F.Smith (Eds.), Dynamical and complex systems. LTCC Advanced Mathematics Series Vol. 5 (World Scientific, Singapore, 2016)
- 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, 2016);
- A. Narros, A. L. Owczarek and T. Prellberg, Winding angle distributions for two-dimensional collapsing polymers,
*J. Phys.: Conf. Ser.***686**(2016) 012007 - A. Bedini, A. L. Owczarek and T. Prellberg, The role of three-body interactions in two-dimensional polymer collapse,
*J. Phys. A***49**(2016) 214001 - E. J. Janse van Rensburg and T. Prellberg, Forces and pressures in adsorbing partially directed walks,
*J. Phys. A***49**(2016) 205001 - I. Heilmann, J. Starke, K.H. Andersen, U. Høgsbro Thygesen, and M.P. Sørensen, Dynamics of a physiologically structured population in a time-varying environment,
*Ecological Complexity***28**, 54-61 (2016) - W. Just, P.M. Geffert, A. Zakharova, and E. Schöll; Noisy dynamical systems with time delay: some basic analytical perturbation schemes with applications, in
*Control of Self-Organizing Nonlinear Systems*, E. Schöll, S.H.L. Klapp, and P. Hövel (eds.), (Springer 2016), p.147-168.

**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,
*Phys. Rev. E***92**, 012102 (2015). - W. Lie, S. Li, A. Baule, and H.A. Makse, Adhesive loose packings of small particles,
*Soft matter***11**(2015) 6492. - A. Cairoli and A. Baule, Anomalous processes with general waiting times: functionals and multi-point structure,
*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,
*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, 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,Phys. Rev. E 92, 022137 (2015)
- M. Maitland, S. Grosskinsky and R. J. Harris, Large deviation analysis of a simple information engine,
*Phys. Rev. E***92**, 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, 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)