List of Publications
Holger Kantz
January 2016
(Articles in journals and peer-reviewed book chapters only)
[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 Criticality
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

[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).

[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),

[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 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] Jochen Bröcker, Stefan Siegert, and Holger Kantz
Comment on “Conditional Exceedance Probabilities”
Monthly Weather Review 139, 3322-3324 (2011) doi: 10.1175/2011MWR3658.1.

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

[132] S.I. Denisov and H. Kantz
Continuous-time random walk with a superheavy-tailed distribution of waiting times
Phys. Rev. E 83 041132 (2011).

[133] S. Siegert, J. Bröcker, H. Kantz
Predicting outliers in ensemble forecasts
Quarterly Journal of the Royal Meteorological Society 137, 1887-1897 (2011).

[134] L. Granger and H. Kantz
Thermodynamic cost of measurements
Phys. Rev. E 84, 061110 (2011).

[135] S. I. Denisov, S. B. Yuste, Yu. S. Bystrik, H. Kantz, and K. Lindenberg
Asymptotic solutions of decoupled continuous-time random walks with superheavy-tailed waiting time and heavy-tailed jump length distributions
Phys. Rev. E 84 061143 (2011).

[136] J. Serra, H. Kantz, X. Serra, R.G. Andrzejak
Predictability of Music Descriptor Time Series and its Application to Cover Song Detection
IEEE Transactions on Audio, Speech, and Language Processing 20, 514-525 (2012).

[137] S. Siegert, J. Bröcker, and H. Kantz
On the predictability of outliers in ensemble forecasts
Adv. Sci. Res., 8, 53-57 (2012),

[138] Stefan Siegert, Jochen Bröcker, Holger Kantz
Rank histograms of stratified Monte-Carlo ensembles
Monthly Weather Review 140 1558-1571 (2012).

[139] Alexandra Kruscha, Roland Ketzmerick, and Holger Kantz
Biased diffusion inside regular islands under random symplectic perturbations
Phys. Rev. E 85, 066210 (2012).

[140] Hong-liu Yang, G. Radons, H. Kantz
Covariant Lyapunov Vectors from Reconstructed Dynamics: The Geometry behind True and Spurious Lyapunov Exponents
Phys. Rev. Lett. 109 244101 (2012).

[141] S. I. Denisov, Yu. S. Bystrik, and H. Kantz
Limiting distributions of continuous-time random walks with superheavy-tailed waiting times
Phys. Rev. E. 87 022117 (2013).

[142] N.K. Vitanov, Z.I. Dimitrova, H. Kantz
Application of the method of simplest equation for obtaining exact traveling-wave solutions
for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation

Applied Mathematics and Computation 219 (2013) 7480-7492.

[143] Holger Kantz, Günter Radons, and Hongliu Yang
The problem of spurious Lyapunov exponentes in time series analysis and its solution by covariant Lyapunov vectors
J. Phys. A: Math. Theor. 46 254009 (2013).

[144] Markus Niemann, Holger Kantz, and Eli Barkai
Fluctuations of 1/f noise and the low-frequency cutoff paradox
Phys. Rev. Lett. 110 140603 (2013).

[145] Léo Granger and Holger Kantz
Differential Landauer's principle
EPL 101 50004 (2013).

[146] Julia Gundermann, Holger Kantz, and Jochen Bröcker
Crooks' fluctuation theorem for a process on a two dimensional fluid field
Phys. Rev. Lett. 110, 234502 (2013).

[147] Julia Gundermann, Stefan Siegert, and Holger Kantz,
Improved predictions of rare events using the Crooks fluctuation theorem,
Phys. Rev. E 89, 032112 (2014).

[148] Rene C. Batac and Holger Kantz,
Observing spatio-temporal clustering and separation using interevent distributions of regional earthquakes,
Nonlin. Processes Geophys., 21, 735-744 (2014).

[149] Aljaz Godec, Aleksei V. Chechkin, Eli Barkai, Holger Kantz, and Ralf Metzler,
Localisation and universal fluctuations in ultraslow diffusion processes,
J. Phys. A: Math. Theor. 47 (2014) 492002 (10pp).

[150]Colm Mulhern, Stephan Bialonski, and Holger Kantz,
Extreme events due to localization of energy,
Phys. Rev. E 91, 012918 (2015).

[151] S. Siegert and H. Kantz,
Predicting complex systems - who cares about chaos?
C. Skokos, G.A. Gottwald, J. Laskar (Eds.), Lecture Notes in Physics Vol 915, Springer (2016).

[152] Trifce Sandev, Alexander Iomin, and Holger Kantz,
Fractional diffusion on a fractal grid comb,
Phys. Rev. E 91, 032108 (2015).

[153] M. Höll and H. Kantz,
The fluctuation function of the detrended fluctuation analysis - Investigation on the AR(1) process,
Eur. Phys. J. B 88, 126 (2015).

[154] Stephan Siegert, Jochen Bröcker, H. Kantz,
Skill of data based predictions versus dynamical models - case study on extreme temperature anomalies
Chavez, M., M. Ghil and J. Urrutia Fucugauchi, Eds., AGU Monograph, Washington, DC (2015).

[155]Elizabeth Bradley, Holger Kantz,
Nonlinear time-series analysis revisited,
CHAOS 25, 097610 (2015).

[156] T. Sandev, A. Chechkin, H. Kantz, R. Metzler,
Diffusion and Fokker-Planck-Smoluchowski equations with generalised memory kernel,
Fract. Calc. Appl. Anal. 18, 1006 - 1038 (2015).

[157]L. Granger, J. Mehlis, E. Roldan, S. Ciliberto, and H. Kantz,
Fluctuation theorem between non-equilibrium states in an RC-circuit,
New J. Phys. 17 065005 (2015).

[158] Ming Luo, Holger Kantz, Ngar-Cheung Lau, Wenwen Huang, and Yu Zhou,
Questionable dynamical evidence for causality between galactic cosmic rays and interannual variation in global temperature,
Proc Natl Acad Sci 112(34), E4638-9 (2015).

[159] Trifce Sandev, Aleksei V. Chechkin, Nikolay Korabel, Holger Kantz, Igor Sokolov, and Ralf Metzler,
Distributed-order diffusion equations and multifractality: Models and solutions,
Phys. Rev. E 92, 042117 (2015).

[160] S. Bialonski, G. Ansmann, H. Kantz,
Data-driven prediction and prevention of extreme events in a spatially extended excitable system,
Phys. Rev. E 92, 042910 (2015).

[161] Marc Höll & H. Kantz,
The relationship between the detrendend fluctuation analysis and the autocorrelation function of a signal,
Eur. Phys. J B 88, 327 (2015)

[162] S. Bialonski, D. Caron, J. Schloen, U. Feudel, H. Kantz, and S.D. Moorthi,
Phytoplankton dynamics in the Southern California Bight indicate a complex mixture of transport and biology,
Journal of Plankton Research 38, 1077–1091. (2016).

[163] M. Niemann, E. Barkai, H. Kantz,
Renewal theory for a system with internal states
, Math. Model. Nat. Phenom. Vol. 11, No. 3, pp. 191-239 (2016).

[164] Yu Zhou, Aleksei Chechkin, Igor M. Sokolov and Holger Kantz,
A model of return intervals between earthquake events
, EPL 114 (2016) 60003.

[165] T. Sandev, A. Iomin, H. Kantz, R. Metzler, A. Chechkin,
Comb model with slow and ultraslow diffusion,
Math. Model. Nat. Phenom., 11 3 (2016) 18-33.

[166] J. Schwabedal, H. Kantz,
Optimal extraction of collective oscillations from unreliable measurements,
Phys. Rev. Lett. 116, 104101 (2016).

[167] M. Höll, H. Kantz, Y. Zhou,
Detrended fluctuation analysis and the difference between external drifts and intrinsic diffusionlike nonstationarity,
Phys. Rev. E 94, 042201 (2016).

[168] S. Siegert, J. Bröcker, H. Kantz,
Skill of Data-based Predictions versus Dynamical Models - A Case Study on Extreme Temperature Anomalies,
in: Mario Chavez, Michael Ghil and Jaime Urrutia-Fucugauchi, eds., EXTREME EVENTS: OBSERVATIONS, MODELING, AND ECONOMICS,
John Wiley & Sons, Inc, Hoboken, NJ. doi: 10.1002/9781119157052.ch4, Print ISBN: 9781119157014, 35-49

[169] M Massah, H Kantz,
Confidence intervals for time averages in the presence of long-range correlations, a case study on Earth surface temperature anomalies,
Geophysical Research Letters, Volume 43, Issue 17 16 September 2016, Pages 9243–9249.

[170] Falk Böttcher & H. Kantz,
Die Niederschl\uml age auf dem Fichtelberg,
Annalen der Meteorologie 49 (2016) 90-99.

[171] H. Kantz,
Rare and Extreme Events,
in: REPRODUCIBILITY: PRINCIPLES, PROBLEMS, PRACTICES, AND PROSPECTS, H. Atmanspacher, S. Maasen eds., John Wiley & Sons, 2016, ISBN 1118864972, p.251-268

[172] André Liemert, Trifce Sandev, Holger Kantz
Generalized Langevin equation with tempered memory kernel,
Physica A, Volume 466, 15 January 2017, Pages 356-369.

[173] Aleksei V. Chechkin, Holger Kantz, and Ralf Metzler,
Ageing effects in ultraslow continuous time random walks,
Eur. Phys. J. B (2017) 90: 205, DOI: 10.1140/epjb/e2017-80270-9.

[174] T Sandev, A Schulz, H Kantz, A Iomin,
Heterogeneous diffusion in comb and fractal grid structures,
Chaos, Solitons & Fractals 114, 551-555 (2018).

[175] T Sandev, A Iomin, H Kantz,
Anomalous diffusion on a fractal mesh,
Phys. Rev. E 95, 052107 (2017).

[176] JM Miotto, H Kantz, EG Altmann,
Stochastic dynamics and the predictability of big hits in online videos,
Phys. Rev. E 95, 032311 (2017).

[177] Rajat Karnatak, Holger Kantz, and Stephan Bialonski,
Early warning signal for interior crises in excitable systems,
Phys. Rev. E 96 042211 (2017).

[178]P Meyer, H Kantz,
Infinite invariant densities due to intermittency in a nonlinear oscillator,
Phys. Rev. E 96, 022217 (2017).

[179] Philipp Meyer, Eli Barkai, and Holger Kantz,
Scale-invariant Green-Kubo relation for time-averaged diffusivity,
Phys. Rev. E 96, 062122 (2017).

[180] Benedict Lünsmann, and Holger Kantz
An extended transfer operator approach to identify separatrices in open flows,
Chaos 28, 053101 (2018); doi: 10.1063/1.5001667.

[181] Mozhdeh Massah, Matthew Nicol, and Holger Kantz
Large-deviation probabilities for correlated Gaussian processes and intermittent dynamical systems,
Phys. Rev E 97, 052147 (2018).

[182] Philipp Meyer, Marc Höll, Holger Kantz,
Reproducing Long-Range Correlations in Global Mean Temperatures in Simple Energy Balance Models,
Journal of Geophysical Research: Atmospheres, 123, 4413–4422 (2018).

[183] Philipp G Meyer, Vidushi Adlakha, Holger Kantz and Kevin E Bassler,
Anomalous diffusion and the Moses effect in an aging deterministic model,
New J. Phys. 20 113033 (2018).

[184] Trifce Sandev, Alexander Schulz, Holger Kantz, Alexander Iomin,
Heterogeneous diffusion in comb and fractal grid structures,
Chaos, Solitons & Fractals 114 551-555 (2018).

[185] J Gajda, A Wylomanska, H Kantz, AV Chechkin, G. Sikora
Large deviations of time-averaged statistics for Gaussian processes, Statistics & Probability Letters 143, 47-55 (2018).

[186] Marc Höll, Ken Kiyono, and Holger Kantz,
Theoretical foundation of detrending methods for fluctuation analysis such as detrended fluctuation analysis and detrending moving average,
Phys. Rev. E 99, 033305 (2018).

[187]Philipp G Meyer and Holger Kantz,
Inferring characteristic timescales from the effect of autoregressive dynamics on detrended fluctuation analysis,
New Journal of Physics 21 033022 (2019).

Holger Kantz 2019-05-20