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Publications

This page lists recent publications and preprints of the applied group. For a comprehesive list of older publications please consult the archive.

2007 2008 2009 2010 Preprints & papers in press

 

  1. P. Cameron, T. Prellberg, and D. Stark, Asymptotic enumeration of 2-covers and line graphs, Discrete Mathematics 310 (2010) 230-240.
  2. T. Stemler, J.P. Werner, H. Benner, W. Just, Stochastic Modelling of Intermittency, Phil. Trans. Roy. Soc. A 368 (2010), 273-284.
  3. W. Just, A. Pelster, M. Schanz, and E Schöll (Eds.), Delayed complex systems, Phil. Trans. Roy. Soc. A 368 (2010), 301-513.
  4. J. Krawczyk, A. L. Owczarek, and T. Prellberg, A Semi-flexible attracting-segment model of two-dimensional polymer collapse, Physica A 389 (2010) 1619-1624.

 

  1. C. Guill, B. Drossel, W. Just, E. Carmack, Cyclic dominance of pacific salmon is due to a strong resonance
  2. D.K. Arrowsmith, F.M. Bhatti, and J.W. Essam, Maximal Fermi walk configurations on the directed square lattice and standard Young Tableaux , J. Phys. A (2010) in print.
  3. C. Beck, Possible measurable effects of dark energy in rotating superconductors, to appear in Adv. Astron. (2009)
  4. U. Tirnakli, C. Tsallis, C. Beck, Comment on `Proposed central limit behavior in deterministic dynamical systems', (preprint 2009)
  5. M. Schaefer, C. Beck, Discrete symmetries of chaotic strings, (preprint 2009)
  6. H. Grzeschik, R. J. Harris, L. Santen, Traffic of cytoskeletal motors with disordered attachment rates, submitted to Phys. Rev. E (2009).
  7. T. Platini, R.J. Harris and D. Karevski, Out-of-equilibrium bosons on a one-dimensional optical random lattice, (preprint 2009)
  8. Yi Wei and B. A. Khoruzhenko, O(N) colour-flavour transformations and characteristic polynomials of real random matrices, preprint (2009).
  9. B.A. Khoruzhenko, H.-J. Sommers, Non-Hermitian Random Matrix Ensembles, preprint, to appear in the Oxford Handbook of Random Matrix Theory (2009).
  10. R.Klages, From Deterministic Chaos to Anomalous Diffusion, in Reviews of Nonlinear Dynamics and Complexity Vol. 3, H.G.Schuster (Ed.), Wiley-VCH, Weinheim, (2009 in print).
  11. R. F. Bailey and T. Prellberg, Decoding generalized octahedral groups and asymptotic analysis of successful error-correction, (preprint 2009).
  12. S. Corteel, M. Josuat-Vergès, T. Prellberg, and M. Rubey, Matrix Ansatz, lattice paths and rook placements, submitted to Proceedings of the 2009 International Conference on Formal Power Series and Algebraic Combinatorics.
  13. K. M. Briggs, L. Song, and T. Prellberg, A note on the distribution of the maximum of a set of Poisson random variables,, submitted to Electron. Commun. Prob. (2009)
  14. O. F. Bandtlow, J. Fiala, P. Kleban, and T. Prellberg, Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point, J. Stat. Phys. (2009), in print.
  15. Erik Van der Straeten and Christian Beck, Dynamical modelling of superstatistical complex systems, (preprint 2009).
  16. John H. Lowenstein and Franco Vivaldi, Approach to a rational rotation number in a piecewise isometric system, Submitted to Nonlinearity (2009)

 

  1. C. Beck, Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation, Eur. Phys. J. A 40, 267 (2009)
  2. C. Beck, Generalized information and entropy measures in physics, Contemp. Phys. 50, 495-510 (2009)
  3. C. Beck, Axiomatic approach to the cosmological constant, Physica A 388, 3384 (2009)
  4. U. Tirnakli, C. Tsallis, C. Beck, A closer look at time averages of the logistic map at the edge of chaos, Phys. Rev. E 79, 056209 (2009)
  5. C. Beck, Recent developments in superstatistics, Braz. J. Phys. 39, 357 (2009)
  6. R. Carvalho, L. Buzna, F. Bono, E. Gutiérrez, W. Just, and D. Arrowsmith, Robustness of Trans-European Gas Networks, , Phys. Rev. E 80 (2009) 016106.
  7. H. Erzgräber and W. Just; Global view on a generic nonlinear oscillator subject to time-delayed feedback control, Physica D 238 (2009) 1680-1687.
  8. G. M. Schütz, F. Pigeard de Almeida Prado, R. J. Harris and V. Belitsky, Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents, Physica A 388, 4126-4144 (2009)
  9. R. J. Harris and H. Touchette, Current fluctuations in stochastic systems with long-range memory, J. Phys. A: Math. Theor. 42, 342001 (1-9), 2009.
  10. A.V.Chechkin and R.Klages, Fluctuation relations for anomalous dynamics, J. Stat. Mech. L03002 (2009)
  11. B. A. Khoruzhenko, D. V. Savin, and H.-J. Sommers, Systematic approach to statistics of conductance and shot-noise in chaotic cavities, Phys. Rev. B 80 (2009) 125301
  12. Yi Wei, B.A. Khoruzhenko and Y,V. Fyodorov: Integral formulae for eigenvalue distribution of complex random matrices, J. Phys. A: Math. Theor. 42 (2009) 462002
  13. H.-J. Sommers and B.A. Khoruzhenko: Schur function averages for the real Ginibre ensemble, J. Phys. A: Math. Theor. 42 (2009) 222002
  14. J. Krawczyk, A. L. Owczarek, and T. Prellberg, Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers, Physica A 388 (2009) 104-112.
  15. R. Brak, P. Dyke, J. Lee, A.L. Owczarek, T. Prellberg, A. Rechnitzer, and S.G. Whittington, A self-interacting partially directed walk subject to a force, J. Phys. A 42 (2009) 085001.
  16. A. L. Owczarek and T. Prellberg, Exact Solution of the Discrete (1+1)-Dimensional RSOS Model with Field and Surface Interactions, J. Phys. A 42 (2009) 495003.
  17. F. J. Cao, M. Feito and H. Touchette, Information and flux in a feedback controlled Brownian ratchet, Physica A 388, 113-119, 2009.
  18. H. Touchette, The large deviation approach to statistical mechanics, Phys. Rep. 478, 1-69, 2009.
  19. H. Touchette and E. G. D. Cohen, Anomalous fluctuation properties, Phys. Rev. E 80, 011114 (1-11), 2009.
  20. E. Van der Straeten, C. Beck, Superstatistical fluctuations in time series: Application to share price dynamics and turbulence, Phys. Rev. E 80, 036108 (2009).
  21. E. Van der Straeten, Maximum Entropy Estimation of Transition Probabilities of Reversible Markov Chains, Entropy, 11(4), 867-887 (2009).
  22. J.A.G. Roberts and F. Vivaldi, A combinatorial model for reversible rational maps over finite fields, Nonlinearity 22 (2009) 1965-1982.

 

  1. Oscar F. Bandtlow, Resolvent estimates for operators belonging to exponential classes, Integr. Equ. Oper. Theory 61 (2008) 21-43
  2. O.F.Bandtlow and O.Jenkinson, Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions, Advances in Mathematics, 218 (2008), 902-925
  3. L. Leon Chen, C. Beck, A superstatistical model of metastasis and cancer survival, Physica A 387, 3162 (2008)
  4. M. Maher, C. Beck, Chaotic quantization and the mass spectrum of fermions, Chaos, Solitons and Fractals 37, 9 (2008)
  5. C. Beck, Superstatistics: Theoretical concepts and physical applications, in R. Klages et al. (eds.): Anomalous transport: Foundations and Applications (Wiley-VCH, 2008) p.433-457
  6. C. Beck and M.C. Mackey, Electromagnetic dark energy, Int. J. Mod. Phys. D (2008) 71-80 (2008)
  7. E. van der Straeten, C. Beck, Superstatistical distributions from a maximum entropy principle, Phys. Rev. E 78, 051101 (2008)
  8. C. Beck, Complexity of chaotic fields and standard model parameters, in: 'The logic of nature, complexity and new physics: From quark-gluon plasma to superstrings, quantum gravity and beyond', ed. A. Zichichi, p. 1-37 (World Scientific, 2008)
  9. H. Erzgräber, F. Strozzi, J.-M. Zaldívar, Hugo Touchette, E. Gutiérrez, and D. K. Arrowsmith, Time series analysis and long range correlations of Nordic spot electricity market data, Physica A 387 (2008) 6567-6574.
  10. I. Goldsheid, Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a strip, Prob. Theo. & Rel. Fields, Vol. 141, No. 3-4, (2008), pp. 471-511(41).
  11. E. Bolthausen and I. Goldsheid, Lingering Random Walks in Random Environment on a Strip, Comm. in Math. Phys. 278 (2008), 253-288.
  12. A. Ràkos and R. J. Harris, On the range of validity of the fluctuation theorem for stochastic Markovian dynamics, J. Stat. Mech. (2008) P05005.
  13. O. Jenkinson, On sums of powers of inverse complete quotients, Proceedings of the American Mathematical Society, 136 (2008), 1023-1027.
  14. O. Jenkinson & I.D. Morris, Lyapunov optimizing measures for C1 expanding maps of the circle, Ergodic Theory & Dynamical Systems, 28 (2008), 1849-1860.
  15. O. Jenkinson A partial order on ×2-invariant measures, Mathematical Research Letters, 15 (2008), 893-900.
  16. O. Bandtlow and O. Jenkinson, On the Ruelle eigenvalue sequence, Ergodic Theory & Dynamical Systems, 28 (2008), 1701-1711.
  17. P.Dieterich, R.Klages, R.Preuss, A.Schwab, Anomalous dynamics of cell migration, PNAS 105, 459-463 (2008).
  18. G. Keller, P.Howard, R.Klages, Continuity properties of transport coefficients in simple maps, Nonlin. 21, 1719-1743 (2008)
  19. R. Klages, G.Radons, I.M.Sokolov (Eds.), Anomalous transport, (Wiley VCH, Weinheim, 2008)
  20. A. L. Owczarek, T. Prellberg, and A. Rechnitzer, Finite-size scaling functions for directed polymers confined between attracting walls, J. Phys. A 41 (2008) 035002.
  21. E. J. Janse van Rensburg, T. Prellberg, and A. Rechnitzer, Partially directed paths in a wedge, J. Comb. Th. A 115 (2008) 623-650, doi:10.1016/j.jcta.2007.08.003
  22. P. J. Cameron, D. Johannsen, T. Prellberg, and P. Schweitzer, Counting defective parking functions, Electron. J. Combinat. 15 (2008) R92
  23. A. L. Owczarek and T. Prellberg, Scaling of the atmosphere of self-avoiding walks, J. Phys. A 41 (2008) 375004
  24. M. Costeniuc, R.S. Ellis, H. Touchette, B. Turkington, Global optimization, the Gaussian ensemble, and universal ensemble equivalence, in M. Pinsky and B. Birnir (eds), Geometry, Probability, and Integrable Systems. Cambridge University Press, 2008.
  25. H. Touchette, A simple spin model with nonequivalent microcanonical and canonical ensembles, Am. J. Phys. 76, 26-30, 2008.
  26. J H Lowenstein and F Vivaldi, Scaling dynamics of a cubic interval-exchange transformation, Dynamical Systems 23 (2008) 283-298.
  27. G Poggiaspalla, J H Lowenstein and F Vivaldi, Geometric representation of interval exchange maps over algebraic number fields, Nonlinearity 21 (2008) 149-177.
  28. T. Jüngling, H. Benner, T. Stemler, and W. Just, Noise-free Stochastic Resonance at an Interior Crisis, Phys. Rev. E 77 (2008) 036216.

 

  1. U. Tirnakli, C. Beck, and C. Tsallis, Central limit behavior of deterministic dynamical systems, Phys. Rev. E 75, 040106(R) (2007) (cond-mat/0701622)
  2. K. Briggs and C. Beck, Modelling train delays with q-exponential functions, Physica A 378, 498 (2007) (physics/0611097)
  3. C. Beck, Statistics of 3-dimensional Lagrangian turbulence, Phys. Rev. Lett. 98, 064502 (2007) (cond-mat/0606655)
  4. C. Beck and M.C. Mackey, Measurability of vacuum fluctuations and dark energy, Physica A 379, 101 (2007) (astro-ph/0605418)
  5. S. Groote and C. Beck, Scaling properties of invariant densities of coupled Chebyshev maps, Dyn. Systems 22, 219-248 (2007) (nlin.CD/0609052)
  6. S. Abe, C. Beck, and E.G.D. Cohen, Superstatistics, thermodynamics, and fluctuations, Phys. Rev. E 76, 031102 (2007).
  7. C. Beck, Correlations in superstatistical systems, AIP Conference Proceedings 965, 60-67 (2007).
  8. C. Beck and M.C. Mackey, Zeropoint fluctuations and dark energy in Josphson junctions, Fluct. Noise Letters 7, C27 (2007).
  9. Shaun Bullett and Peter Haissinsky, Pinching holomorphic correspondences, AMS Journal of Conformal Geometry and Dynamics, 11 (2007), 65-89.
  10. Marianne Freiberger, Conformal measures and matings between Kleinian groups and quadratic polynomials, Fundamenta Mathematicae, 193 (2007), 95-132.
  11. Ilya Goldsheid, Simple transient random walks in one-dimensional random environment: the central limit theorem. Prob. Theor. & Rel. Fields 139, 41-64 (2007).
  12. R. J. Harris and R. B. Stinchcombe, Scaling approach to related disordered stochastic and free-fermion models, Phys. Rev. E 75 031104 (2007).
  13. G. M. Schütz and R. J. Harris, Hydrodynamics of the zero-range process in the condensation regime, J. Stat. Phys. 127 419-430 (2007).
  14. R. J. Harris and G. M. Schütz, Fluctuation theorems for stochastic dynamics, J. Stat. Mech., P07020 (2007).
  15. O. Jenkinson, Optimization and majorization of invariant measures, Electronic Research Announcements of the American Mathematical Society, 13 (2007), 1-12.
  16. O. Jenkinson and M. Pollicott, A dynamical approach to accelerating numerical integration with equidistributed points, Proceedings of the Steklov Institute, 256 (2007), 275-289.
  17. O. Bandtlow and O. Jenkinson, Explicit a priori bounds on transfer operator eigenvalues, Communications in Mathematical Physics, 276 (2007), 901-905.
  18. O. Bandtlow and O. Jenkinson, Invariant measures for real analytic expanding maps, Journal of the London Mathematical Society, 75 (2007), 343-368.
  19. E. Harriss and O. Jenkinson, Flattening functions on flowers, Ergodic Theory & Dynamical Systems, 27 (2007), 1865-1886.
  20. O. Jenkinson, R. D. Mauldin and M. Urbanski, Ergodic optimization for non-compact dynamical systems, Dynamical Systems, 22 (2007), 379-388.
  21. Y.V. Fyodorov and B.A.Khoruzhenko, Averages of spectral determinants and 'Single Ring Theorem' of Feinberg and Zee, Acta Phys. Pol. B 38 (2007), 4067-4078.
  22. Yan V Fyodorov and Boris A Khoruzhenko, On absolute moments of characteristic polynomials of a certain class of complex random matrices, Comm. Math. Phys. 273 (2007) 561-599
  23. Yan V Fyodorov and Boris A Khoruzhenko, A few remarks on Colour-Flavour Transformations, truncations of random unitary matrices, Berezin reproducing kernels and Selberg type integrals, J. Phys. A 40 (2007) 669-700.
  24. N. Korabel, R. Klages, A.V. Chechkin, I.M. Sokolov, V.Yu. Gonchar, Fractal properties of anomalous diffusion in intermittent maps, Phys. Rev. E 75, 036213-1-14 (2007)
  25. R.Klages, Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics, Advanced Series in Nonlinear Dynamics Vol.24, (World Scientific, Singapore, 2007), 456 pages; ISBN 978-981-256-507-5
  26. R.Klages, Book review of 'Chaos - A very short introduction' by L.Smith (Oxford University Press, 2007), J. Phys. A 40 (2007) 8604
  27. A. L. Owczarek and T. Prellberg, Collapse transition of self-avoiding trails on the square lattice, Physica A 373 (2007) 433-438.
  28. A. L. Owczarek, A. Rechnitzer, J. Krawczyk, and T. Prellberg, On the location of the surface-attached globule phase in collapsing polymers, J. Phys. A 40 (2007) 13257-13267.
  29. J. Krawczyk, A. L. Owczarek, and T. Prellberg, The competition of hydrogen-like and isotropic interactions in polymer collapse, Journal of Statistical Mechanics: theory and experiment, JSTAT (2007) P09016.
  30. J. Krawczyk, A. L. Owczarek, T. Prellberg, and A. Rechnitzer, A Lattice Model for Parallel and Orthogonal Beta-Sheets using Hydrogen-Like Bonding, Phys. Rev. E 76 (2007) 051904 (selected for Virt. J. Biol. Phys. Res. 14 (2007))
  31. E. J. Janse van Rensburg, T. Prellberg, and A. Rechnitzer, Directed paths in a wedge, J. Phys. A 40 (2007) 14069-14084.
  32. A. L. Owczarek and T. Prellberg, Exact solution of semi-flexible and super-flexible interacting partially directed walks, Journal of Statistical Mechanics: theory and experiment, JSTAT (2007) P11010
  33. E. J. Janse van Rensburg, T. Prellberg, and A. Rechnitzer, Partially directed paths in a symmetric wedge, Proceedings of the 2007 International Conference on Formal Power Series and Algebraic Combinatorics.
  34. L. Rass, Convergence results for contact branching processes, Mathematical Biosciences 205 (2007) 59-76, doi:10.1016/j.mbs.2006.05.001
  35. L. Rass, Asymptotic results for a multi-type contact birth-death process and related S-I-S epidemic. Mathematical Biosciences 208 (2007), 552-570, doi:10.1016/j.mbs.2006.11.008
  36. H. Touchette and E. G. D. Cohen, Fluctuation relation for a Lévy particle, Phys. Rev. E. 76, 020101(R) (1-4), 2007.
  37. A. Campa, S. Ruffo, H. Touchette, Negative magnetic susceptibility and nonequivalent ensembles for the mean-field Φ4 spin model, Physica A 385, 233-248, 2007.
  38. J H Lowenstein, G Poggiaspalla and F Vivaldi, Interval exchange transformations over algebraic number fields: the cubic Arnoux-Yoccoz model, Dynamical Systems 22 (2007) 73-106.
  39. A. Amann, E. Schöll, and W. Just; Some basic remarks on eigenmode expansions of time-delay dynamics, Physica A 373 (2007) 191-202
  40. T. Stemler, J. P. Werner, H. Benner, and W. Just; Stochastic modelling of experimental chaotic time series, Phys. Rev. Lett. 98 (2007) 044102
  41. K. Höhne, H. Shirahama, C.-U. Choe, H. Benner, K. Pyragas, and W. Just; Global properties in an experimental realisation of time-delayed feedback control with unstable control loop, Phys. Rev. Lett. 98 (2007) 214102
  42. W. Just; On global properties of time-delayed feedback control, in "Handbook of Chaos Control (2nd edition)", E. Schöll and H.G. Schuster (eds.), (Wiley-VCH, Weinheim, 2007), p.85-108.
  43. H. Benner, C.-U. Choe, K. Höhne, C. v. Loewenich, H. Shirahama, and W. Just; Observing global properties of time-delayed feedback control in electronic circuits, in "Handbook of Chaos Control (2nd edition)", E. Schöll and H.G. Schuster (eds.), (Wiley-VCH, Weinheim, 2007), p.559-573.
  44. W. Just, B. Fiedler, M. Georgi, V. Flunkert, P. Hövel, and E. Schöll; Beyond the odd number limitation: a bifurcation analysis of time-delayed feedback control, Phys. Rev. E 76 (2007) 026210
  45. A. Riegert, W. Just, N. Baba, and H. Kantz; Fast Hamiltonian chaos: Heat bath without thermodynamic limit, Phys. Rev. E 76 (2007) 066211