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 |
- P. Cameron, T. Prellberg, and D. Stark, Asymptotic enumeration of 2-covers and line graphs, Discrete Mathematics 310 (2010) 230-240.
- T. Stemler, J.P. Werner, H. Benner, W. Just, Stochastic Modelling of Intermittency, Phil. Trans. Roy. Soc. A 368 (2010), 273-284.
- W. Just, A. Pelster, M. Schanz, and E Schöll (Eds.), Delayed complex systems, Phil. Trans. Roy. Soc. A 368 (2010), 301-513.
- 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.
- C. Guill, B. Drossel, W. Just, E. Carmack, Cyclic dominance of pacific salmon is due to a strong resonance
- 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.
- C. Beck, Possible measurable effects of dark energy in rotating superconductors, to appear in Adv. Astron. (2009)
- U. Tirnakli, C. Tsallis, C. Beck, Comment on `Proposed central limit behavior in deterministic dynamical systems', (preprint 2009)
- M. Schaefer, C. Beck, Discrete symmetries of chaotic strings, (preprint 2009)
- H. Grzeschik, R. J. Harris, L. Santen, Traffic of cytoskeletal motors with disordered attachment rates, submitted to Phys. Rev. E (2009).
- T. Platini, R.J. Harris and D. Karevski, Out-of-equilibrium bosons on a one-dimensional optical random lattice, (preprint 2009)
- Yi Wei and B. A. Khoruzhenko, O(N) colour-flavour transformations and characteristic polynomials of real random matrices, preprint (2009).
- B.A. Khoruzhenko, H.-J. Sommers, Non-Hermitian Random Matrix Ensembles, preprint, to appear in the Oxford Handbook of Random Matrix Theory (2009).
- 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).
- R. F. Bailey and T. Prellberg, Decoding generalized octahedral groups and asymptotic analysis of successful error-correction, (preprint 2009).
- 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.
- 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)
- 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.
- Erik Van der Straeten and Christian Beck, Dynamical modelling of superstatistical complex systems, (preprint 2009).
- John H. Lowenstein and Franco Vivaldi, Approach to a rational rotation number in a piecewise isometric system, Submitted to Nonlinearity (2009)
- C. Beck, Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation, Eur. Phys. J. A 40, 267 (2009)
- C. Beck, Generalized information and entropy measures in physics, Contemp. Phys. 50, 495-510 (2009)
- C. Beck, Axiomatic approach to the cosmological constant, Physica A 388, 3384 (2009)
- 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)
- C. Beck, Recent developments in superstatistics, Braz. J. Phys. 39, 357 (2009)
- 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.
- H. Erzgräber and W. Just; Global view on a generic nonlinear oscillator subject to time-delayed feedback control, Physica D 238 (2009) 1680-1687.
- 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)
- 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.
- A.V.Chechkin and R.Klages, Fluctuation relations for anomalous dynamics, J. Stat. Mech. L03002 (2009)
- 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
- 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
- H.-J. Sommers and B.A. Khoruzhenko: Schur function averages for the real Ginibre ensemble, J. Phys. A: Math. Theor. 42 (2009) 222002
- J. Krawczyk, A. L. Owczarek, and T. Prellberg, Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers, Physica A 388 (2009) 104-112.
- 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.
- 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.
- F. J. Cao, M. Feito and H. Touchette, Information and flux in a feedback controlled Brownian ratchet, Physica A 388, 113-119, 2009.
- H. Touchette, The large deviation approach to statistical mechanics, Phys. Rep. 478, 1-69, 2009.
- H. Touchette and E. G. D. Cohen, Anomalous fluctuation properties, Phys. Rev. E 80, 011114 (1-11), 2009.
- E. Van der Straeten, C. Beck, Superstatistical fluctuations in time series: Application to share price dynamics and turbulence, Phys. Rev. E 80, 036108 (2009).
- E. Van der Straeten, Maximum Entropy Estimation of Transition Probabilities of Reversible Markov Chains, Entropy, 11(4), 867-887 (2009).
- J.A.G. Roberts and F. Vivaldi, A combinatorial model for reversible rational maps over finite fields, Nonlinearity 22 (2009) 1965-1982.
- Oscar F. Bandtlow, Resolvent estimates for operators belonging to exponential classes, Integr. Equ. Oper. Theory 61 (2008) 21-43
- 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
- L. Leon Chen, C. Beck, A superstatistical model of metastasis and cancer survival, Physica A 387, 3162 (2008)
- M. Maher, C. Beck, Chaotic quantization and the mass spectrum of fermions, Chaos, Solitons and Fractals 37, 9 (2008)
- 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
- C. Beck and M.C. Mackey, Electromagnetic dark energy, Int. J. Mod. Phys. D (2008) 71-80 (2008)
- E. van der Straeten, C. Beck, Superstatistical distributions from a maximum entropy principle, Phys. Rev. E 78, 051101 (2008)
- 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)
- 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.
- 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).
- E. Bolthausen and I. Goldsheid, Lingering Random Walks in Random Environment on a Strip, Comm. in Math. Phys. 278 (2008), 253-288.
- A. Ràkos and R. J. Harris, On the range of validity of the fluctuation theorem for stochastic Markovian dynamics, J. Stat. Mech. (2008) P05005.
- O. Jenkinson, On sums of powers of inverse complete quotients, Proceedings of the American Mathematical Society, 136 (2008), 1023-1027.
- O. Jenkinson & I.D. Morris, Lyapunov optimizing measures for C1 expanding maps of the circle, Ergodic Theory & Dynamical Systems, 28 (2008), 1849-1860.
- O. Jenkinson A partial order on ×2-invariant measures, Mathematical Research Letters, 15 (2008), 893-900.
- O. Bandtlow and O. Jenkinson, On the Ruelle eigenvalue sequence, Ergodic Theory & Dynamical Systems, 28 (2008), 1701-1711.
- P.Dieterich, R.Klages, R.Preuss, A.Schwab, Anomalous dynamics of cell migration, PNAS 105, 459-463 (2008).
- G. Keller, P.Howard, R.Klages, Continuity properties of transport coefficients in simple maps, Nonlin. 21, 1719-1743 (2008)
- R. Klages, G.Radons, I.M.Sokolov (Eds.), Anomalous transport, (Wiley VCH, Weinheim, 2008)
- 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.
- 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
- P. J. Cameron, D. Johannsen, T. Prellberg, and P. Schweitzer, Counting defective parking functions, Electron. J. Combinat. 15 (2008) R92
- A. L. Owczarek and T. Prellberg, Scaling of the atmosphere of self-avoiding walks, J. Phys. A 41 (2008) 375004
- 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.
- H. Touchette, A simple spin model with nonequivalent microcanonical and canonical ensembles, Am. J. Phys. 76, 26-30, 2008.
- J H Lowenstein and F Vivaldi, Scaling dynamics of a cubic interval-exchange transformation, Dynamical Systems 23 (2008) 283-298.
- G Poggiaspalla, J H Lowenstein and F Vivaldi, Geometric representation of interval exchange maps over algebraic number fields, Nonlinearity 21 (2008) 149-177.
- T. Jüngling, H. Benner, T. Stemler, and W. Just, Noise-free Stochastic Resonance at an Interior Crisis, Phys. Rev. E 77 (2008) 036216.
- U. Tirnakli, C. Beck, and C. Tsallis, Central limit behavior of deterministic dynamical systems, Phys. Rev. E 75, 040106(R) (2007) (cond-mat/0701622)
- K. Briggs and C. Beck, Modelling train delays with q-exponential functions, Physica A 378, 498 (2007) (physics/0611097)
- C. Beck, Statistics of 3-dimensional Lagrangian turbulence, Phys. Rev. Lett. 98, 064502 (2007) (cond-mat/0606655)
- C. Beck and M.C. Mackey, Measurability of vacuum fluctuations and dark energy, Physica A 379, 101 (2007) (astro-ph/0605418)
- S. Groote and C. Beck, Scaling properties of invariant densities of coupled Chebyshev maps, Dyn. Systems 22, 219-248 (2007) (nlin.CD/0609052)
- S. Abe, C. Beck, and E.G.D. Cohen, Superstatistics, thermodynamics, and fluctuations, Phys. Rev. E 76, 031102 (2007).
- C. Beck, Correlations in superstatistical systems, AIP Conference Proceedings 965, 60-67 (2007).
- C. Beck and M.C. Mackey, Zeropoint fluctuations and dark energy in Josphson junctions, Fluct. Noise Letters 7, C27 (2007).
- Shaun Bullett and Peter Haissinsky, Pinching holomorphic correspondences, AMS Journal of Conformal Geometry and Dynamics, 11 (2007), 65-89.
- Marianne Freiberger, Conformal measures and matings between Kleinian groups and quadratic polynomials, Fundamenta Mathematicae, 193 (2007), 95-132.
- Ilya Goldsheid, Simple transient random walks in one-dimensional random environment: the central limit theorem. Prob. Theor. & Rel. Fields 139, 41-64 (2007).
- R. J. Harris and R. B. Stinchcombe, Scaling approach to related disordered stochastic and free-fermion models, Phys. Rev. E 75 031104 (2007).
- G. M. Schütz and R. J. Harris, Hydrodynamics of the zero-range process in the condensation regime, J. Stat. Phys. 127 419-430 (2007).
- R. J. Harris and G. M. Schütz, Fluctuation theorems for stochastic dynamics, J. Stat. Mech., P07020 (2007).
- O. Jenkinson, Optimization and majorization of invariant measures, Electronic Research Announcements of the American Mathematical Society, 13 (2007), 1-12.
- O. Jenkinson and M. Pollicott, A dynamical approach to accelerating numerical integration with equidistributed points, Proceedings of the Steklov Institute, 256 (2007), 275-289.
- O. Bandtlow and O. Jenkinson, Explicit a priori bounds on transfer operator eigenvalues, Communications in Mathematical Physics, 276 (2007), 901-905.
- O. Bandtlow and O. Jenkinson, Invariant measures for real analytic expanding maps, Journal of the London Mathematical Society, 75 (2007), 343-368.
- E. Harriss and O. Jenkinson, Flattening functions on flowers, Ergodic Theory & Dynamical Systems, 27 (2007), 1865-1886.
- O. Jenkinson, R. D. Mauldin and M. Urbanski, Ergodic optimization for non-compact dynamical systems, Dynamical Systems, 22 (2007), 379-388.
- 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.
- 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
- 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.
- 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)
- 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
- R.Klages, Book review of 'Chaos - A very short introduction' by L.Smith (Oxford University Press, 2007), J. Phys. A 40 (2007) 8604
- A. L. Owczarek and T. Prellberg, Collapse transition of self-avoiding trails on the square lattice, Physica A 373 (2007) 433-438.
- 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.
- 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.
- 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))
- E. J. Janse van Rensburg, T. Prellberg, and A. Rechnitzer, Directed paths in a wedge, J. Phys. A 40 (2007) 14069-14084.
- 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
- 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.
- L. Rass, Convergence results for contact branching processes, Mathematical Biosciences 205 (2007) 59-76, doi:10.1016/j.mbs.2006.05.001
- 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
- H. Touchette and E. G. D. Cohen, Fluctuation relation for a Lévy particle, Phys. Rev. E. 76, 020101(R) (1-4), 2007.
- 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.
- 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.
- A. Amann, E. Schöll, and W. Just; Some basic remarks on eigenmode expansions of time-delay dynamics, Physica A 373 (2007) 191-202
- T. Stemler, J. P. Werner, H. Benner, and W. Just; Stochastic modelling of experimental chaotic time series, Phys. Rev. Lett. 98 (2007) 044102
- 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
- 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.
- 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.
- 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
- A. Riegert, W. Just, N. Baba, and H. Kantz; Fast Hamiltonian chaos: Heat bath without thermodynamic limit, Phys. Rev. E 76 (2007) 066211
