List of Publications
Holger Kantz
May 2011

Articles in journals and peer-reviewed book chapters

[1] H. Kantz and P. Grassberger, Repellers, Semi-Attractors and Long-Lived Chaotic Transients, Physica 17D, 75-86 (1985).

[2] P. Grassberger and H. Kantz, Universal Scaling of Long-Time Tails in Hamiltonian Systems?, Phys. Lett. A 113, 167-171 (1985).

[3] P. Grassberger and H. Kantz, Generating Partitions for the Dissipative Hénon Map, Phys. Lett. A 113, 235-238 (1985).

[4] H. Kantz and P. Grassberger, Chaos in Low Dimensional Hamiltonian Maps,
Phys. Lett. A 123, 437-443 (1987).

[5] H. Kantz and P. Grassberger, Internal Arnold Diffusion and Chaos Thresholds in Coupled Symplectic Maps, J. Phys. A 21, L127-133 (1988).

[6] H. Kantz, Vanishing Stability Thresholds in the Thermodynamic Limit of Nonintegrable Conservative Systems, Physica D 39, 322-335 (1989).

[7] P. Grassberger, H. Kantz, and U. Moenig, On the Symbolic Dynamics of the Hénon Map, J. Phys. A 22 5217-5230 (1989).

[8] P. Grassberger und H. Kantz, On a Forest Fire Model with Supposed Self-Organized Criticallity, J. Stat. Phys. 63, 685-700 (1991).

[9] S. Isola, H. Kantz, and R. Livi, On the Quantization of the Three-Particle Toda Lattice, J. Phys A 24, 3061-3076 (1991).

[10] P. Grassberger, R. Hegger, H. Kantz, C. Schaffrath, and T. Schreiber, On Noise Reduction Methods for Chaotic Data, CHAOS 3, 127-141 (1993),
reprinted in: E. Ott, T. Sauer, and J. A. Yorke, eds., COPING WITH CHAOS, Wiley, New York (1994).

[11] H. Kantz, Noise Reduction by Local Reconstruction of the Dynamics, in Time Series Prediction: Forecasting the Future and Understanding the Past, Eds. A.S. Weigend and N.A. Gershenfeld, SFI Studies in the Science of Complexity, Proc. Vol. XVII, Addison-Wesley, 1993.

[12] H. Kantz, T. Schreiber, I. Hoffmann, T. Buzug, G. Pfister, L.G. Flepp, J. Simonet, R. Badii, and E. Brun, Nonlinear Noise Reduction: A Case Study on Experimental Data, Phys. Rev. E 48, 1529 (1993).

[13] H. Kantz, A Robust Method to Estimate the Maximal Liapunov Exponent of a Time Series, Phys. Lett. A 185, 77-87 (1994).

[14] D. Escande, H. Kantz, R. Livi, and S. Ruffo, Gibbsian Check of the Validity of Gibbsian Calculation Through Dynamical Observables, in: HAMILTONIAN MECHANICS: INTEGRABILITY AND CHAOTIC BEHAVIOUR, J. Seimenis, ed., Plenum, New York, 1994.

[15] D. Escande, H. Kantz, R. Livi, and S. Ruffo, Self-Consistent Check of the Validity of Gibbs Calculus Using Dynamical Variables, J. Stat. Phys. 76, 605-626 (1994).

[16] H. Kantz, R. Livi und S. Ruffo, Equipartition Thresholds in Chains of Anharmonic Oscillators, J. Stat. Phys. 76, 627-643 (1994).

[17] H. Kantz, Quantifying the closeness of fractal measures, Phys. Rev. E 49 5091-5097 (1994).

[18] T. Schreiber and H. Kantz, Noise in Chaotic Data: Diagnosis and treatment, CHAOS 5, 133-142 (1995).
reprinted in: J. Bélair, L. Glass, U. an der Heiden, and J. Milton, eds., DYNAMICAL DISEASE, AIP Press (1995).

[19] H. Kantz and T. Schreiber, Dimension Estimates and Physiological Data, CHAOS 5, 143-154 (1995).
reprinted in: J. Bélair, L. Glass, U. an der Heiden, and J. Milton, eds., DYNAMICAL DISEASE, AIP Press (1995).

[20] P. Poggi, S. Ruffo, and H. Kantz, Shock waves and time scales to reach equipartition in the Fermi-Pasta-Ulam model, Phys. Rev. E 52, 307-315 (1995).

[21] T. Schreiber and H. Kantz, Observing and Predicting chaotic signals: Is 2% noise too much?, in: PREDICTABILITY OF COMPLEX DYNAMICAL SYSTEMS, Y. Kravtsov & J. Kadtke eds., Springer Series in Synergetics No. 69, Springer, New York, 1996.

[22] H. Kantz and T. Schürmann, Enlarged scaling ranges in entropy and dimension estimates, CHAOS 6, 167-171 (1996).

[23] L. Jaeger and H. Kantz, Unbiased reconstruction of the dynamics underlying a noisy chaotic time series, CHAOS 6, 440 (1996).

[24] L. Jaeger and H. Kantz, Homoclinic tangencies and non-normal Jacobians - effects of noise in non-hyperbolic systems, Physica D 105 (1997) 79-96.

[25] L. Jaeger and H. Kantz, Effective deterministic models for chaotic motion perturbed by interactive noise, Phys. Rev. E 55 5234-5247 (1997).

[26] R. Hegger and H. Kantz, Embedding of sequences of time intervals, Europhys. Lett. 38 267-272 (1997).

[27] R. Hegger, H. Kantz, and E. Olbrich, Dimension estimates for intermittent signals, Phys. Rev. E 56 199-203 (1997).

[28] H. Kantz and L. Jaeger, Improved cost functions for modelling noisy chaotic time series, Physica D 109 (1997) 59-69.

[29] H. Kantz and E. Olbrich, Scalar observations from a class of high-dimensional chaotic systems: Limitations of the time delay embedding, CHAOS 7 423-429 (1997).

[30] E. Olbrich and H. Kantz, Inferring chaotic dynamics from time series: On which length scale determinism becomes visible, Phys. Lett. A 232 (1997) 63-69.

[31] L. Jaeger and H. Kantz, The structure of generating paritions for two-dimensional maps, J. Phys. A 30 L567-L576 (1997).

[32] H. Kantz and E. Olbrich, The transition from deterministic chaos to a stochastic process, Physica A 253, 105-117 (1998).

[33] E. Olbrich, R. Hegger and H. Kantz, Analysing local observations of weakly coupled maps, Phys. Lett. A 244, 538-544 (1998).

[34] R. Hegger, H. Kantz, F. Schmüser, M. Diestelhorst, R.P. Kapsch, H. Beige, Dynamical properties of a ferroelectric capacitor observed through nonlinear time series analysis, CHAOS 8, 727-736 (1998).

[35] R. Hegger, M. Bünner, H. Kantz, A. Giaquinta, Identifying and modelling delay feedback systems, Phys. Rev. Lett. 81, 558 (1998).

[36] H. Kantz and T. Schreiber, Human ECG: nonlinear deterministic versus stochastic aspects, IEE Proc. Sci. Measurement Technol. 145, 279 (1998).

[37] M. Bär, R. Hegger, and H. Kantz, Fitting partial differential equations to space-time dynamics, Phys. Rev. E 59, 337 (1999).

[38] R. Hegger, H. Kantz, and T. Schreiber, Practical implementation of nonlinear time series methods: The TISEAN package, CHAOS 9, 413-435 (1999).

[39] M. Diestelhorst, R. Hegger, L. Jaeger, H. Kantz, R.-P. Kapsch, Experimental verification of noise induced attractor deformation, Phys. Rev. Lett. 82, 2274 (1999).

[40] R. Hegger and H. Kantz, Improved false nearest neighbour method to detect determinism in time series data, Phys. Rev. E 60, 4970 (1999).

[41] H. Kantz and T. Letz, Characterization of sensitivity to finite perturbations, Phys. Rev E 61, 2533-2538 (2000).

[42] S. Güttler and H. Kantz, Induction motor failure detection using geometric signal separation, Electric Machines and Power Systems, 28 : (6), 515-536 (2000).

[43] W. Just and H. Kantz, Some considerations on Poincaré maps for chaotic flows, J. Phys. A 33, 163-170 (2000).

[44] E. Olbrich, R. Hegger, H. Kantz, Local estimates for entropy densities in coupled map lattices, Phys. Rev. Lett. 84, 2132 (2000).

[45] F. Schmüser, W. Just and H. Kantz, On the relation between coupled map lattices and kinetic Ising models, Phys. Rev. E. 61 3675 (2000).

[46] H. Kantz and E. Olbrich, Coarse grained dynamical entropies - investigation of high-entropic dynamical systems, Physica A 280, 34-48 (2000).

[47] M.J. Bünner, M. Ciofini, A. Giaquinta, R. Hegger, H. Kantz, R. Meucci and A. Politi, Identification and characterization of systems with delayed feedback: (I) Theory, Eur. Phys. J. D 10 (2000) 165-176.

[48] M.J. Bünner, M. Ciofini, A. Giaquinta, R. Hegger, H. Kantz, R. Meucci and A. Politi, Identification and characterization of systems with delayed feedback: (II) Application, Eur. Phys. J. D 10 (2000) 177-187.

[49] R. Hegger, H. Kantz, and L. Matassini, Denoising human speech signals using chaoslike features, Phys. Rev. Lett. 84, 3197 (2000).

[50] R. Hegger, H. Kantz, L. Matassini, T. Schreiber, Coping with non-stationarity by overembedding, Phys. Rev. Lett. 84, 4092 (2000).

[51] M. Cencini, M. Falcioni, H. Kantz, E. Olbrich and A. Vulpiani Chaos or Noise - Difficulties of a Distinction, Phys. Rev. E 62, 427-437 (2000).

[52] M. Ragwitz and H. Kantz, Detecting nonlinear structure and predicting turbulent gusts in surface wind velocities, Europhys. Lett. 51 595-601 (2000).

[53] R.P. Kapsch, H. Kantz, R. Hegger and M. Diestelhorst, Determination of the Dynamical Properties of Ferroelectrics using Nonlinear Time Series Analysis, Intl. J. Bifurc. Chaos 11 1019-1034 (2001).

[54] L. Matassini, C. Manfredi, R. Hegger, and H. Kantz, Analysis of vocal disorder in feature spaces, Medical Engineering and Physics 22, 413-418 (2000).

[55] S. Güttler and H. Kantz, The auto-synchronized wavelet transform analysis for automatic accoustic quality control, Journal of Sound and Vibration, 243(1), 3-22 (2001).

[56] E.F. Manffra, H. Kantz, W. Just, Periodic orbits and topological entropy of delayed maps, Phys. Rev. E 63 046203 (2001).

[57] H. Kantz, Time series analysis in reconstructed phase spaces, Stochastics and Dynamics 1, 85-111 (2001).

[58] S. Güttler, H. Kantz, E. Olbrich, Reconstruction of the parameter spaces of dynamical systems, Phys. Rev. E 63 056215 (2001).

[59] W. Just, H. Kantz, C. Rödenbeck, M. Helm, Stochastic Modelling: Replacing fast degrees of freedom by stochastic processes, J. Phys. A: Math. Gen. 34, 3199 (2001).

[60] H. Kantz. R. Hegger, L. Matassini, Noise reduction for human voice by local projections in reconstructed phase spaces, IEEE Transactions on Circuits and Systems I, 48, 1454 (2001).

[61] M. Ragwitz and H. Kantz, Indispensible finite time corrections for Fokker-Planck equations from time series data, Phys. Rev. Lett. 87 254501 (2001).

[62] E. Ferretti-Manffra, W. Just, H. Kantz, Invariant densities of delayed maps with large delay, Phys. Rev. E 65 016211 (2002).

[63] H. Kantz, C. Grebogi, A. Prasad, Ying-Cheng Lai, E. Sinde, Unexpected robustness-against-noise of a class of nonhyperbolic chaotic attractors, Phys. Rev. E 65 026209 (2002).

[64] L. Matassini, H. Kantz, J. Holyst, R. Hegger, Optimizing of Recurrence Plots for Noise Reduction, Phys. Rev. E 65 021102 (2002).

[65] M. Ragwitz and H. Kantz, Markov models from data by simple nonlinear time series predictors in delay embedding spaces, Phys. Rev. E 65 056201 (2002).

[66] M. Kleiner, R. Göbel, H. Kantz, C. Klimmek, W. Homberg , Combined methods for the prediction of dynamic instabilities in sheet metal spinning, CIRP Annals 51, 209-214 (2002).

[67] H. Kantz and M. Ragwitz, Phase space reconstruction and nonlinear predictions for stationary and nonstationary Markovian processes, Int. J. Bifurcation and Chaos 14, 1935 (2004).

[68] M. Ragwitz and H. Kantz, Comment on: Indispensable finite time corrections for Fokker-Planck equations from time series data, Reply, Phys. Rev. Lett. 89, 149402-1 (2002).

[69] R. Marschinski and H. Kantz, Analysing the information flow between financial time series - an improved estimator for transfer entropy, European Physical Journal B 30, 275 - 281 (2002).

[70] J.W. Kim and H. Kantz,Effects of random noise on a simple class of growing network models, Phys. Rev. E 68, 026110 (2003).

[71] G. Hernández-Cruz, H. Kantz, T. Letz, M. Ragwitz, E. Ramos, R. Rechtman, Noise induced fluctuations of period lengths of stable periodic orbits, Phys. Rev. E 67 036210 (2003).

[72] W. Just, H. Kantz, M. Ragwitz, F. Schmüser, Nonequilibrium physics meets time series analysis: measuring probability currents from data series, Europhys. Lett. 62 28-34 (2003).

[73] W. Just, K. Gelfert, N. Baba, A. Riegert, and Holger Kantz, Elimination of fast chaotic degrees of freedom: On the accuracy of the Born approximation, J. Stat. Phys. 112, 277-292 (2003).

[74] H. Kantz, Robustness versus sensitivity - can biological systems behave chaotically?, in: NONLINEAR DYNAMICS AND THE SPATIOTEMPORAL PRINCIPLES OF BIOLOGY, F. Beck, M.T. Hütt, U. Lüttge eds., Acta Nova Leopoldina 88, No.332, 245-253 (2003).

[75] E. Ferretti Manffra, H. Kantz, M. Ragwitz, Genetic distance in sequence space of evolving populations, Complexity 8, 51-56 (2003).

[76] M. Wächter, F. Riess, H. Kantz, J. Peinke, Stochastic analysis of surface roughness, Europhys. Lett. 64 579 (2003).

[77] H. Kantz, W. Just, N. Baba, K. Gelfert, A. Riegert, Fast chaos versus white noise - entropy analysis and Fokker Planck model for the slow dynamics, Physica D 187, 200-213 (2004).

[78] Holger Kantz, Detlef Holstein, Mario Ragwitz, Nikolay K. Vitanov, Markov chain model for turbulent wind speed data, Physica A 342 (2004) 315.

[79] M.S. Santhanam and H. Kantz, Random matrix approach to multivariate correlations: Some limiting cases, Phys. Rev. E 69, 056102 (2004).

[80] V. Reitmann and H. Kantz, Frequency domain conditions for the existence of almost periodic solutions in evolutionary variational inequalities, Stochastics and Dynamics 4, 483 - 499 (2004).

[81] L.H. Juárez, H. Kantz, O. Martínez, E. Ramos, R. Rechtman, Complex dynamics in simple systems with periodic parameter oscillations Phys. Rev. E 70, 056202 (2004).

[82] R. B. Govindan and H. Kantz, Long-term correlations and multifractality in surface wind speed, Eurohys. Lett. 68, 184 (2004).

[83] M.S. Santhanam and H. Kantz, Long range correlations and rare events in boundary layer wind fields, Physica A 345, 713-721 (2005).

[84] K. Urbanovicz, H. Kantz, J.A. Holyst, Anti-deterministic behaviour in discrete systems that are less predictable than noise, Physica A 350, 189-198 (2005).

[85] Anja Riegert, Nilüfer Baba, Katrin Gelfert, Wolfram Just, Holger Kantz, Hamiltonian chaos acts like a finite energy reservoir: Accuracy of the Fokker-Planck approximation, Phys. Rev. Lett. 94 054103 (2005).

[86] A.E. Motter, A.P.S. de Moura, C. Grebogi, H. Kantz, Effective dynamics in Hamiltonian systems with mixed phase space, Phys. Rev. E 71, 036215 (2005)

[87] Eduardo G. Altmann, Holger Kantz, Recurrence time analysis, long-term correlations, and extreme events Phys. Rev. E 71, 056106 (2005).

[88] A. Facchini, H. Kantz, E. Tiezzi, Recurrence plot analysis of nonstationary data: the understanding of curved patterns, Phys. Rev. E 72 021915 (2005).
and September 1, 2005 issue of Virtual Journal of Biological Physics Research http://www.vjbio.org

[89] E.G. Altmann, A.E. Motter, H. Kantz Stickiness in mushroom billiards, Chaos 15 (3), 033105 (2005).

[90] N.K. Vitanov, Z.I. Dimitrova, H. Kantz, On the trap of extinction and its elimination, Phys. Lett. A 349, 350-355 (2006).

[91] E.G. Altmann, A.E. Motter, H. Kantz, Stickiness in Hamiltonian systems: From sharply divided to hierarchical phase space, Phys. Rev. E 73, 026207 (2006)

[92] Nilüfer Baba, Wolfram Just, Holger Kantz, Anja Riegert, Accuracy and efficiency of reduced stochastic models for chaotic Hamiltonian systems with time scale separation, Phys. Rev. E 73 066228, 2006.

[93] E.G. Altmann, S. Hallerberg, H. Kantz, Reactions to extreme events: Moving threshold model Physica A 364 435-444, 2006.

[94] H. Kantz, Extreme events in nature - a challenge to the understanding of complex dynamics, Intl. J. Ecodynamics 1, 173-185 (2006).

[95] N.K. Vitanov, K. Tarnev, H. Kantz, Hölder-exponent-based test for long-range correlations in pseudorandom sequences, J. Theo. Appl. Mech. (Sofia) 36, 47-64 (2006).

[96] Sarah Hallerberg, E.G. Altmann, D. Holstein, H. Kantz, Precursors of extreme increments, Phys. Rev. E 75 016706 (2007).

[97] Astrid S. de Wijn and H. Kantz, Vertical chaos and horizontal diffusion in the bouncing-ball billiard, Phys. Rev. E. 75 046214 (2007).

[98] Angelo Facchini and H. Kantz, Curved structures in recurrence plots: The role of the sampling time, Phys. Rev. E 75, 036215 (2007) (DOI: 10.1103/PhysRevE.75.036215).

[99] Eduardo G. Altmann and H. Kantz, Hypothesis of strong chaos and anomalous diffusion in coupled symplectic maps, Europhys. Lett. 78, 10008 (2007).

[100] K. Urbanowicz and H. Kantz, Improvement of speech recognition by nonlinear noise reduction, Chaos 17, 023121 (2007).

[101] Katrin Gelfert and H. Kantz, Dynamical quantities and their numerical analysis by saddle periodic orbits, Physica D 232, 166 (2007).

[102] Anja Riegert, Wolfram Just, Nilüfer Baba, and Holger Kantz, Fast Hamiltonian chaos: Heat bath without thermodynamic limit, Phys. Rev. E 76, 066211 (2007).

[103] Sarah Hallerberg and Holger Kantz, Influence of the event magnitude on the predictability of an extreme event, Phys. Rev. E 77, 011108 (2008). Erratum: Phys. Rev. E 78, 029902(E) (2008).

[104] Markus Niemann, Thomas Laubrich, Eckehard Olbrich, Holger Kantz, Usage of the Mori-Zwanzig method in time series analysis, Phys. Rev. E 77, 011117 (2008).

[105] E.G. Altmann, T. Friedrich, A.E. Motter, H. Kantz, and A. Richter, Prevalence of marginally unstable periodic orbits in chaotic billiards, Phys. Rev. E 77, 016205 (2008).

[106] A. Bahraminasab, F. Ghasemi, A. Stefanovska, P.V.E. McClintock, H. Kantz, Direction of coupling from phases of interacting oscillators: A permutation information approach, Phys. Rev. Lett. 100, 084101 (2008).

[107] S. Hallerberg and H. Kantz, How Does the Quality of a Prediction Depend on the Magnitude of the Events under Study?, Nonlinear Processes in Geophysics 15, 321-331 (2008).
Open access: http://www.nonlin-processes-geophys.net/15/321/2008/

[108] Ekkehard Ullner, Aneta Koseska, Jürgen Kurths, Evgenii Volkov, Holger Kantz, Jordi García-Ojalvo Multistability of synthetic genetic networks with repressive cell-to-cell communication, PRE 78, 031904 (2008).

[109] Markus Niemann and Holger Kantz, Joint probability distributions and multipoint correlations of the continuous-time random walk, PRE 78, 051104 (2008).

[110] M.S. Santhanam and Holger Kantz, Return interval distribution of extreme events and long-term memory, PRE 78 051113 (2008).

[111] D. Helbing, J. Jost and H. Kantz Nonlinear Physics Everywhere: From Molecules to Cities, EPJ-B 63, 283 (2008) (Editorial notes of a special issue).

[112] Anja Garber and Holger Kantz, Finite size effects on the statistics of extreme events in the BTW model, Eur. Phys. J. B 67 437-443 (2009).

[113] Stanislav I. Denisov, Peter Hänggi and Holger Kantz, Parameters of the fractional Fokker-Planck equation, EPL 85, 40007 (2009).

[114] Thomas Laubrich and Holger Kantz, Statistical analysis and stochastic modelling of boundary layer wind speed, EPJ-ST 174 197 (2009).

[115] S.I. Denisov, T.V. Lyutyy, E.S. Denisova, P. Hänggi, H. Kantz, Directed transport in periodically rocked random sawtooth potentials, PRE 79 051102 (2009).

[116] Detlef Holstein and Holger Kantz, Optimal Markov approximations and generalized embeddings, PRE 79, 056202 (2009).

[117] Thomas Laubrich and Holger Kantz, A first order geometric auto regressive process for boundary layer wind speed simulation, EPJ-B 70 575 (2009).

[118] Anja Garber, Sarah Hallerberg, Holger Kantz, Predicting extreme avalanches in self-organized critical sandpiles, Phys. Rev. E 80, 026124 (2009)

[119] F. Lenz, D. Herde, A. Riegert, Holger Kantz, Bivariate time-periodic Fokker-Planck model for freeway traffic, EPJ-B 72 467 (2009).

[120] S. I. Denisov and H. Kantz, Anomalous biased diffusion in a randomly layered medium Phys. Rev. E 81, 021117 (2010).

[121] Nikolay K. Vitanov, Z.I. Dimitrova, H. Kantz, Modified method of simplest equation and its application to nonlinear PDEs, Appl. Math. Comput. 216, 2587-2595 (2010).

[122] S.I. Denisov, H. Kantz, P. Hänggi, Langevin equation with super-heavy-tailed noise J. Phys. A 43 285004 (2010).

[123] Léo Granger, Markus Niemann and Holger Kantz, Crooks' fluctuation theorem for the fluctuating lattice-Boltzmann model, J. Stat. Mechanics P06029 (2010) (doi: 10.1088/1742-5468/2010/06/P06029).

[124] Markus Niemann, Ivan G. Szendro, Holger Kantz, $1/f^\beta$ noise in a model for weak ergodicity breaking, Chem. Phys. 375, 370 (2010).

[125] S.I. Denisov, E.S. Denisova, and H. Kantz, Biased diffusion in a piecewise linear random potential, Eur. Phys. J. B 76, 1-11 (2010).

[126] S.I. Denisov and H. Kantz, Continuous-time random walk theory of superslow diffusion, Europhys. Lett. 92, 30001 (2010).

[127] F. Caruso and H. Kantz, Prediction of extreme events in the OFC model on a small world network, Eur. Phys. J. B 79 7-11 (2011).

[128] J. Bröcker and H. Kantz, The concept of exchangeability in ensemble forecasting, Nonlin. Processes Geophys., 18, 1-5, doi:10.5194/npg-18-1-2011, (2011).

[129] A. Garber, N.R. Moloney, H. Kantz, Hopping over a heat barrier, Phys. Rev. E 83 031134 (2011).

[130] S.I. Denisov and H. Kantz, Probability distribution function for systems driven by superheavy-tailed noise, Eur. Phys. J. B 80, 167-175 (2011).

[131] S. Siegert, J. Bröcker, H. Kantz, Predicting outliers in ensemble forecasts, Quarterly Journal of the Royal Meteorological Society, in press (2011).