Carl Dettmann - Publications


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    Notes: The definitive version is usually available at the publisher's website for those with access - click on the journal name or try google scholar. Many are available at arXiv, not necessarily in the final form. Publications other than those in or intended for refereed journals are noted in RED, and animations in ORANGE (gallery). Large postscript files are gzipped. The numbering of journal articles is by date of the printed publication, and may be permuted until then.

    Coauthors: Here and below, links are to home pages. E. G. Altmann, C. Antoine, Y. Aoyagi, M. Barthelemy, S. Bernardi, J. P. Bird, M. Z. Bocus, L. A. Bunimovich, I. L. Caldas, M. A. J. Chaplain, N. I. Chernov, V. V. Chetlur, W. H. Chin, E. G. D. Cohen, P. T. Coleridge, J. P. Coon, N. J. Cornish, D. R. Costa, P. Cvitanovic', P. Dahlqvist, A. Delage, H. S. Dhillon, M. Dianati, G. Diaz Iturry, P. A. Dmochowski, S. Drake, V. Fain, Y. Feng, N. E. Frankel, F. Frascoli, T. M. Fromhold, R. M. Gailis, A. Ganesh, O. Georgiou, R. Green, H. Guo, J. S. Hansen, S. Hauert, E. R. Hunt, D. J. Isbister, G. Jenkinson, R. M. Jungers, A. P. Kartun-Giles, J. P. Keating, P. J. Kelly, R. Klages, G. Knight, K. Koufos, V. Kowalenko, T. Kroetz, E. D. Leonel, D. Lippolis, A. L. P. Livorati, R. Mainieri, J. Marklof, P. Mason, A. P. Micolich, G. V. Morozov, G. P. Morriss, R. Newbury, J. A. de Oliveira, G. Page, M. S. Palmero, S. D. Prado, P. Pratt, M. R. Rahman, A. Rajanna, L. Rondoni, M. K. Roychowdhury, A. S. Sachrajda, A. A. Samoletov, M. M. A. Sieber, I. Singh, P. J. Smith, N. Sondergaard, A. Strombergsson, T. Sugano, J. Talbot, T. Taniguchi, T. Taucher, R. P. Taylor, L. Taylor-West, C. R. Tench, B. D. Todd, D. Turaev, H. van Beijeren, G. Vattay, A. Voros, H. Waalkens, S. Wang, Z. Wasilewski, M. Wilsher, R. Wirtz, N. Zhu

    Topics: Top ten, Billiards, Diffusion, Fractals, Music, Networks, Number theory, Open systems, Periodic orbits, Relativity and cosmology, Thermostats, Time dependent dynamics

    Journal articles

  1. Potential theory and analytic properties of a Cantor set C. P. Dettmann and N. E. Frankel, J. Phys. A.: Math. Theor. 26,1009-1022 (1993)pdf animation (1.4M)
  2. Structure factor of deterministic fractals with rotations C. P. Dettmann and N. E. Frankel, Fractals 1, 253-261 (1993) pdf
  3. Potential theory and analytic properties of self-similar fractal and multifractal distributions. C. P. Dettmann and N. E. Frankel, J. Stat. Phys. 72, 241-275 (1993)
  4. Plasma electrodynamics in the expanding Universe. C. P. Dettmann, N. E. Frankel and V. Kowalenko, Phys. Rev. D 48, 5655-5667 (1993) pdf
  5. Structure factor of Cantor sets C. P. Dettmann, N. E. Frankel and T. Taucher, Phys. Rev. E 49, 3171-3178 (1994) pdf
  6. Fractal basins and chaotic trajectories in multi-black-hole space-times. C. P. Dettmann, N. E. Frankel and N. J. Cornish, Phys. Rev. D, 50, R618-R621 (1994) pdf arxiv
  7. Magnetized plasmas in the early universe R. M. Gailis, C. P. Dettmann, N. E. Frankel and V. Kowalenko, Phys. Rev. D 50,3847-3858 (1994) pdf
  8. Chaos and fractals around black holes C. P. Dettmann, N. E. Frankel and N. J. Cornish, Fractals 3 161-181 (1995) pdf arxiv
  9. Conjugate Pairing in the three dimensional periodic Lorentz gas C. P. Dettmann, G. P. Morriss and L. Rondoni, Phys. Rev. E 52, R5746-R5748 (1995) pdf
  10. Magnetohydrodynamics in the expanding Universe R. M. Gailis, C. P. Dettmann and N. E. Frankel, Phys. Rev. D 52, 6901-6917 (1995) pdf (large: 1.2M)
  11. Chaos in special relativistic dynamics S. Drake, C. P. Dettmann, N. E. Frankel and N. J. Cornish, Phys. Rev. E 53,1351-1361 (1996) pdf
  12. Stochastic dynamics of relativistic turbulence. C. P. Dettmann and N. E. Frankel, Phys. Rev. E 53, 5502-5505 (1996) pdf
  13. Proof of Lyapunov exponent pairing for systems at constant kinetic energy. C. P. Dettmann and G. P. Morriss, Phys. Rev. E, 53, R5545-R5548 (1996) pdf ps["Dettmann-Morriss theorem"]
  14. Hamiltonian formulation of the Gaussian isokinetic thermostat. C. P. Dettmann and G. P. Morriss, Phys. Rev. E, 54, 2495-2500 (1996) pdf ps
  15. The field dependence of Lyapunov exponents for nonequilibrium systems G. P. Morriss, C. P. Dettmann and D. J. Isbister, Phys. Rev. E, 54 4748-4654 (1996) pdf
  16. Crisis in the periodic Lorentz gas. C. P. Dettmann and G. P. Morriss, Phys. Rev. E 54, 4782-4790 (1996) pdf (4.9M)
  17. Hamiltonian reformulation and pairing of Lyapunov exponents for Nose-Hoover dynamics C. P. Dettmann and G. P. Morriss, Phys. Rev. E, 55, 3693-3696 (1997) pdf ps arxiv [Origin of the "Nose-Poincare" symplectic integrator]
  18. Self-similar magnetoresistance of a semiconductor Sinai billiard, R. P. Taylor, R. Newbury, A. S. Sachrajda, Y. Feng, P. T. Coleridge, C. P. Dettmann, N. Zhu, H. Guo, A. Delage, P. J. Kelly and Z. Wasilewski, Phys. Rev. Lett., 78, 1952-1955 (1997) pdf ps[Physical experiment demonstrating tunable chaos and self-similar magnetoresistance fluctuations]
  19. Stability ordering of cycle expansions C. P. Dettmann and G. P. Morriss, Phys. Rev. Lett. 78, 4201-4204 (1997) pdf ps arxiv
  20. Irreversibility, diffusion and multifractal measures in thermostatted systems, C. P. Dettmann, G. P. Morriss, and L. Rondoni, Chaos, Solitons and Fractals 8, 783-792 (1997)
  21. Recent results for the thermostatted Lorentz gas, G. P. Morriss, C. P. Dettmann and L. Rondoni, Physica A 240, 84-95 (1997)
  22. Fractal behavior in the magnetoresistance of chaotic billiards, R. Newbury, R. P. Taylor, A. S. Sachrajda, Y. Feng, P. T. Coleridge, C. P. Dettmann and T. M. Fromhold, Jpn. J. Appl. Phys. 36,3991-3995 (1997)
  23. Cycle expansions for intermittent diffusion C. P. Dettmann and P. Cvitanovic', Phys. Rev. E 56, 6687-6692 (1997) pdf ps arxiv
  24. Fractal transistors, R. P. Taylor, A. P. Micolich, R. Newbury, C. P. Dettmann and T. M. Fromhold, Semicond. Sci. Tech. 12,1459-1464 (1997)
  25. Geometry-induced fractal behavior in a semiconductor billiard, A. P. Micolich, R. P. Taylor, R. Newbury, J. P. Bird, R. Wirtz, C. P. Dettmann, Y. Aoyagi and T. Sugano, J. Phys.: Cond. Mat. 10,1339-1347 (1998)
  26. Experimental and theoretical investigations of clusters in the magneto-fingerprints of Sinai billiards, R. P. Taylor, A. P. Micolich, R. Newbury, T. M. Fromhold, C. P. Dettmann and C. R. Tench, Mat. Sci. Eng. B 51, 212-215 (1998)
  27. Computing the diffusion coefficient for intermittent maps: Resummation of stability ordered cycle expansions C. P. Dettmann and P. Dahlqvist, Phys. Rev. E 57, 5303-5310 (1998) pdf ps.gz arxiv
  28. Experimental and theoretical investigations of electron dynamics in a semiconductor Sinai billiard, A. P. Micolich, R. P. Taylor, R. Newbury, C. P. Dettmann and T. M. Fromhold, Aust. J. Phys. 51, 547-555 (1998)
  29. Thermostats: Analysis and application G. P. Morriss and C. P. Dettmann, Chaos 8,321-336 (1998) ps pdf
  30. Trace formulas for stochastic evolution operators: Weak noise perturbation theory P. Cvitanovic', C. P. Dettmann, R. Mainieri, and G. Vattay, J. Stat. Phys. 93, 981-999 (1998) ps.gz (1.2M when uncompressed) arxiv
  31. Traces and determinants of strongly stochastic operators C. P. Dettmann, Phys. Rev. E 59, 5231-5234 (1999) pdf ps html arxiv
  32. Trace formulas for stochastic evolution operators: Smooth conjugation method P. Cvitanovic', C. P. Dettmann, R. Mainieri, and G. Vattay, Nonlinearity 12, 939-953 (1999) ps arxiv
  33. Spectrum of stochastic evolution operators: Local matrix representation approach P. Cvitanovic', N. Sondergaard, G. Palla, G. Vattay, and C. P. Dettmann, Phys. Rev. E 60, 3936-3941 (1999) pdf ps Two distinct arxiv versions:arxiv arxiv
  34. Microscopic chaos from Brownian motion? C. P. Dettmann, E. G. D. Cohen and H. van Beijeren, Nature 401, 875-875 (1999) ps.gz (1.0M when uncompressed) arxiv
  35. Hamiltonian for a restricted isoenergetic thermostat C. P. Dettmann, Phys. Rev. E 60,7576-7577 (1999) pdf ps arxiv
  36. The existence of Burnett coefficients in the periodic Lorentz gas, N. I. Chernov and C. P. Dettmann, Physica A 279, 37-44 (2000) ps arxiv
  37. Microscopic chaos and diffusion C. P. Dettmann and E. G. D. Cohen, J. Stat. Phys. 101, 775-817 (2000) ps.gz (28 pages; 2.1M when uncompressed) arxiv
  38. Noise corrections to stochastic trace formulas G. Palla, G. Vattay, A. Voros, N. Sondergaard, C. P. Dettmann, Found. Phys. 31, 641-657 (2001). arxiv
  39. Note on chaos and diffusion C. P. Dettmann and E. G. D. Cohen, J. Stat. Phys. 103, 589-599 (2001) ps arxiv
  40. Stable synchronised states of coupled Tchebyscheff maps, C. P. Dettmann, Physica D 172 88-102 (2002). ps.gz(1.3M when uncompressed) animation (0.3M) arxiv
  41. Lyapunov spectra of periodic orbits for a many-particle system, T. Taniguchi, C. P. Dettmann and G. P. Morriss, J. Stat. Phys. 109 747-764 (2002). pdf ps.gz(1.0M when uncompressed). arxiv
  42. The Burnett expansion of the periodic Lorentz gas, C. P. Dettmann, Ergod. Th. Dyn. Sys. 23, 481-491 (2003) ps arxiv
  43. Fractal asymptotics, C. P. Dettmann, Physica D 187, 214-222 (2004). ps arxiv
  44. Stochastic stabilization of cosmological photons. C. P. Dettmann, J. P. Keating, and S. D. Prado, J. Phys. A.: Math. Theor.37 L377-L383 (2004) pdf. arxiv animation (0.3M) [Featured in the June 2010 issue of Mathematics Today, pdf available here.]
  45. Stochastic stabilization of chaos and the cosmic microwave background. C. P. Dettmann, J. P. Keating and S. D. Prado, Int. J. Mod. Phys. D 13 1461-1468 (2004). pdf
  46. Periodic orbit theory of two coupled Tchebyscheff maps, C. P. Dettmann and D. Lippolis, Chaos, Solitons and Fractals 23 43-54 (2005). ps pdf arxiv
  47. Open circular billiards and the Riemann hypothesis, L. A. Bunimovich and C. P. Dettmann, Phys. Rev. Lett. 94 100201 (2005) ps pdf RH day slides
  48. Thermostats for "slow" configurational modes A. A. Samoletov, C. P. Dettmann and M. A. J. Chaplain, J. Stat. Phys. 128 1321-1336 (2007) [Origin of the "Nose-Hoover-Langevin" thermostat] pdf arxiv
  49. Peeping at chaos: Nondestructive monitoring of chaotic systems by measuring long-time escape rates L. A. Bunimovich and C. P. Dettmann, EPL, 80 40001 (2007). pdf arxivanimation (6.1M)
  50. Directional emission from an optical microdisk resonator with a point scatterer C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, EPL, 82 34002 (2008). pdf arxiv
  51. Internal and external resonances of dielectric disks, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, EPL, 87, 34003 (2009). pdf arxiv
  52. Product of n independent uniform random variables, C. P. Dettmann and O. Georgiou, Stat. Prob. Lett., 79, 2501-2503 (2009). pdf
  53. Survival probability for the stadium billiard, C. P. Dettmann and O. Georgiou, Physica D, 238, 2395-2403 (2009). pdf arxiv animation (30.5M)
  54. Unidirectional Emission from Circular Dielectric Microresonators with a Point Scatterer, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, Phys. Rev. A, 80, 063813 (2009). [Selected to appear in the PRA "Kaleidoscope"] pdf arxiv poster
  55. Notes on configurational thermostat schemes, A. A. Samoletov, C. P. Dettmann and M. A. J. Chaplain, J. Chem. Phys. 132 246101 (2010) pdf arxiv
  56. Transmission and reflection in the stadium billiard: Time-dependent asymmetric transport, C. P. Dettmann and O. Georgiou, Phys. Rev. E 83 036212 (2011). [Selected to appear in the PRE "Kaleidoscope"] pdf arxiv poster
  57. Open mushrooms: Stickiness revisited, C. P. Dettmann and O. Georgiou, J. Phys. A.: Math. Theor. 44 195102 (2011). [Highlighted in a JPA Insights article.] pdf arxiv poster
  58. Escape of particles in a time-dependent potential well, D. R. Costa, C. P. Dettmann and E. D. Leonel, Phys. Rev. E, 83 066211 (2011). pdf
  59. Scaling invariance for the escape of particles from a periodically corrugated waveguide, E. D. Leonel, D. R. Costa and C. P. Dettmann, Phys. Lett. A 376 421-425 (2012). pdf
  60. New horizons in multidimensional diffusion: The Lorentz gas and the Riemann Hypothesis, C. P. Dettmann, J. Stat. Phys. 146 181-204 (2012). pdf arxiv animation (4.8M)
  61. Escape and transport for an open bouncer: Stretched exponential decays, C. P. Dettmann and E. D. Leonel, Physica D 241 403-408 (2012). pdf arxiv
  62. Impact of boundaries on fully connected random geometric networks, J. P. Coon, C. P. Dettmann and O. Georgiou, Phys. Rev. E 85 011138 (2012). pdf arxiv
  63. Recurrence of particles in static and time varying oval billiards, E. D. Leonel and C. P. Dettmann, Phys. Lett. A 376 1669-1674 (2012). pdf arxiv
  64. Dependence of chaotic diffusion on the size and position of holes, G. Knight, O. Georgiou, C. P. Dettmann, R. Klages, Chaos 22 023132 (2012). pdf arxiv
  65. Full Connectivity: Corners, edges and faces, J. P. Coon, C. P. Dettmann and O. Georgiou, J. Stat. Phys. 147 758-778 (2012). pdf arxiv poster
  66. Quantifying intermittency in the open drivebelt billiard, C. P. Dettmann and O. Georgiou, Chaos 22 026113 (2012). pdf arxiv
  67. Stickiness in a bouncer model: A slowing mechanism for Fermi acceleration, A. L. P. Livorati, T. Kroetz, C. P. Dettmann, I. L. Caldas, E. D. Leonel, Phys. Rev. E 86 036203 (2012). pdf arxiv
  68. Ergodicity of a single particle confined in a nanopore, S. Bernardi, J. S. Hansen, F. Frascoli, B. D. Todd and C. P. Dettmann, J. Stat. Phys. 148 1156-1169 (2012). pdf
  69. Faster than expected escape for a class of fully chaotic maps, O. Georgiou, C. P. Dettmann, E. G. Altmann, Chaos 22 043115 (2012). arxiv pdf
  70. Open circle maps: Small hole asymptotics, C. P. Dettmann, Nonlinearity 26 307-317 (2013). pdf arxiv
  71. On the connectivity of 2-D random networks with anisotropically radiating nodes, J. P. Coon and C. P. Dettmann, IEEE Commun. Lett. 17 321-324 (2013). pdf
  72. An approximation of the first order Marcum Q-function with application to network connectivity analysis, M. Z. Bocus, C. P. Dettmann and J. P. Coon, IEEE Commun. Lett. 17 499-502 (2013). arxiv pdf
  73. Scaling invariance of the diffusion coefficient in a family of two-dimensional Hamiltonian mappings, J. A. de Oliveira, C. P. Dettmann, D. R. Costa and E. D. Leonel, Phys. Rev. E 87 062904 (2013). pdf
  74. k-connectivity for confined random networks, O. Georgiou, C. P. Dettmann and J. P. Coon, EPL 103 28006 (2013). arxiv pdf.
  75. Periodic compression of an adiabatic gas: Intermittency enhanced Fermi acceleration, C. P. Dettmann and E. D. Leonel, EPL 103 40003 (2013). pdf
  76. Escape through a time-dependent hole in the doubling map, A. L. P. Livorati, O. Georgiou, C. P. Dettmann and E. D. Leonel, Phys. Rev. E, 89 052913 (2014). arxiv pdf
  77. Connectivity of confined 3D networks with anisotropically radiating nodes, O. Georgiou, C. P. Dettmann and J. P. Coon, IEEE Trans. Wireless Commun. 13 4534-4546 (2014). pdf
  78. Separation of particles leading to decay and unlimited growth of energy in a driven stadium-like billiard, A. L. P. Livorati, M. S. Palmero, C. P. Dettmann, I. L. Caldas, E. D. Leonel, J. Phys. A.: Math. Theor., 47 365101 (2014). arxiv
  79. Diffusion in the Lorentz gas, C. P. Dettmann, Commun. Theor. Phys. 62 521-540 (2014). pdf arxiv
  80. Survival probability for open spherical billiards, C. P. Dettmann and M. R. Rahman, Chaos 24 043130 (2014). arxiv pdf
  81. Transport and dynamical properties for a bouncing ball model with regular and stochastic perturbations, D. R. Costa, C. P. Dettmann and E. D. Leonel, Commun. Nonlin. Sci. Numer. Sim. 20 871-881 (2015). pdf
  82. Circular, elliptic and oval billiards in a gravitational field, D. R. Costa, C. P. Dettmann and E. D. Leonel, Commun. Nonlin. Sci. Numer. Sim., 22 731-746 (2015). pdf
  83. Dynamics of classical particles in oval or elliptic billiards with a dispersing mechanism, D. R. Costa, C. P. Dettmann, J. A. de Oliveira and E. D. Leonel, Chaos 25 033109 (2015). pdf.
  84. Network connectivity in non-convex domains with reflections, O. Georgiou, M. Z. Bocus, M. R. Rahman, C. P. Dettmann and J. P. Coon, IEEE Commun. Lett. 19 427-430 (2015). pdf arxiv.
  85. On the statistical and transport properties of a non-dissipative Fermi-Ulam model, A. L. P. Livorati, C. P. Dettmann, I. L. Caldas, E. D. Leonel, Chaos 25 103107 (2015). pdf.
  86. Crises in a dissipative bouncing ball model, A. L. P. Livorati, I. L. Caldas, C. P. Dettmann and E. D. Leonel, Phys. Lett. A 379 2830-2838 (2015). arxiv.
  87. Connectivity scaling laws in wireless networks, J. P. Coon, O. Georgiou and C. P. Dettmann, IEEE Wireless Commun. Lett. 4 629-632 (2015). pdf.
  88. Connectivity of soft random geometric graphs over annuli, A. P. Kartun-Giles, O. Georgiou and C. P. Dettmann, J. Stat. Phys. 162 1068-1083 (2016). arxiv pdf.
  89. Random geometric graphs with general connection functions, C. P. Dettmann and O. Georgiou, Phys. Rev. E 93 032313 (2016). pdf arxiv.
  90. Temporal correlation of interference in bounded mobile ad hoc networks with blockage, K. Koufos and C. P. Dettmann, IEEE Commun. Lett. 20 2494-2497 (2016). pdf arxiv.
  91. Universal hitting time statistics for integrable flows, C. P. Dettmann, J. Marklof and A. Strombergsson, J. Stat. Phys. 166 714-749 (2017). arxiv pdf.
  92. Quantization for uniform distributions on equilateral triangles, C. P. Dettmann and M. K. Roychowdhury, Real Analysis Exchange 42 149-166 (2017). arxiv.
  93. Counting geodesic paths in 1D VANETs, G. Knight, A. P. Kartun-Giles, O. Georgiou and C. P. Dettmann, IEEE Wireless Commun. Lett. 6 110-113 (2017). arxiv.
  94. Correlated interference from uncorrelated users in bounded ad hoc networks with blockage, K. Koufos, C. P. Dettmann and J. P. Coon, IEEE Wireless Commun. Lett. 6 114-117 (2017). arxiv.
  95. Linear and nonlinear stability of periodic orbits in annular billiards, C. P. Dettmann and V. Fain, Chaos 27 043106 (2017). arxiv.
  96. Optimal non-uniform deployments in ultra-dense finite-area cellular networks P. Pratt, C. P. Dettmann and O. Georgiou, IEEE Commun. Lett. 21 1139-1142 (2017). arxiv.
  97. Spectral statistics of random geometric graphs, C. P. Dettmann, O. Georgiou and G. Knight, EPL 118 18003 (2017). arxiv pdf
  98. Isolation statistics in temporal spatial networks, C. P. Dettmann and O. Georgiou, EPL 119 28002 (2017). arxiv pdf.
  99. Investigation of stickiness influence in the anomalous transport and diffusion for a non-dissipative Fermi-Ulam model, A. L. P. Livorati, M. S. Palmero, G. Diaz Iturry, C. P. Dettmann, I. L. Caldas and E. D. Leonel, Commun. Nonlin. Sci. Numer. Sim. 55 225-236 (2018).
  100. Temporal correlation of interference and outage in mobile networks over one-dimensional finite regions, K. Koufos and C. P. Dettmann, IEEE Trans. Mobile Comput. 17 475-487 (2018). pdf arxiv.
  101. Symmetric motifs in random geometric graphs, C. P. Dettmann and G. Knight, J. Complex Networks 6 95-105 (2018). arxiv.
  102. Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse, C. P. Dettmann, V. Fain and D. Turaev, Nonlinearity 31 667-700 (2018). arxiv.
  103. Transition from normal to ballistic diffusion in a one-dimensional impact system, A. L. P. Livorati, T. Kroetz, C. P. Dettmann, I. L. Caldas and E. D. Leonel, Phys. Rev. E 97 032205 (2018). pdf.
  104. Entropy of spatial network ensembles, J. P. Coon, C. P. Dettmann and O. Georgiou, Phys. Rev. E 97 042319 (2018). arxiv pdf.
  105. Isolation and connectivity in random geometric graphs with self-similar intensity measures, C. P. Dettmann, J. Stat. Phys. 172 679-700 (2018). arxiv.
  106. Spatial networks with wireless applications, C. P. Dettmann, O. Georgiou, P. Pratt, Comptes Rendus Physique 19 187-204 (2018). arxiv.
  107. Temporal connectivity in finite networks with non-uniform measures, P. Pratt, C. P. Dettmann and W. H. Chin, Phys. Rev. E 98 052310 (2018). arxiv.
  108. Moments of interference in vehicular networks with hardcore headway distance, K. Koufos and C. P. Dettmann, IEEE Trans. Wireless Commun. 17 8330-8341 (2018). arxiv.
  109. Boundaries as an enhancement technique for physical layer security, K. Koufos and C. P. Dettmann, IEEE Trans. Information Forensics and Security 14 61-74 (2019). arxiv.
  110. Temporal correlation of interference in vehicular networks with shifted-exponential time headways, K. Koufos and C. P. Dettmann, IEEE Wireless Commun. Lett. 8 189-192 (2019). arxiv.
  111. Adaptive transmission in cellular networks: Fixed-rate codes with power control vs rateless codes A. Rajanna and C. P. Dettmann, IEEE Trans. Wireless Commun. 18 3005-3018 (2019). arxiv.
  112. Distribution of cell area in bounded Poisson Voronoi tessellations with application to secure local connectivity K. Koufos and C. P. Dettmann, J. Stat. Phys. 176 1296-1315 (2019). arxiv SharedIt.
  113. The shape of shortest paths in random spatial networks, A. P. Kartun-Giles, M. Barthelemy and C. P. Dettmann, Phys. Rev. E 100 032315 (2019). arxiv pdf.
  114. The meta distribution of the SIR in linear motorway VANETs, K. Koufos and C. P. Dettmann, IEEE Trans. Commun., 67 8696-8706 (2019). arxiv doi.
  115. Rate Statistics in Cellular Downlink: A Per-User Analysis of Rateless Coded Transmission, A. Rajanna and C. P. Dettmann, IEEE Commun. Lett. 24 1221-1225 (2020). arxiv.
  116. Lower bounds and dense discontinuity phenomena for the stabilizability radius of linear switched systems, C. P. Dettmann, R. M. Jungers and P. Mason, Systems & Control Lett. 142 104737 (2020). arxiv.
  117. Shortest path distance in Manhattan Poisson line Cox process, V. V. Chetlur, H. S. Dhillon and C. P. Dettmann, J. Stat. Phys. 181 2109-2130 (2020). arxiv.
  118. The Iris billiard: Critical geometries for global chaos, G. Page, C. Antoine, C. P. Dettmann and J. Talbot, Chaos 30 123105 (2020). pdf.
  119. Connectivity in one-dimensional soft random geometric graphs, M. Wilsher, C. P. Dettmann and A. Ganesh, Phys. Rev. E 102 062312 (2020). arxiv pdf.
  120. Outage in motorway multi-lane VANETs with hardcore headway distance using synthetic traces, K. Koufos and C. P. Dettmann, IEEE Trans. Mobile Comput. 20 2445-2456 (2021). arxiv.
  121. An algorithm to compute CVTs for finitely generated Cantor distributions, C. P. Dettmann and M. K. Roychowdhury, Southeast Asian Bull. Math. 45 173-188 (2021). arxiv.
  122. Spherical billiards with almost complete escape, C. P. Dettmann and M. R. Rahman, Chaos 31 123119 (2021). pdf.
  123. Performance of a link in a field of vehicular interferers with hardcore headway distance, K. Koufos and C. P. Dettmann, IEEE Trans. Intell. Transport Sys. 23 1717-1726 (2022). arxiv.
  124. The distribution of the number of isolated nodes in the 1-dimensional soft random geometric graph M. Wilsher, C. P. Dettmann and A. Ganesh, Stat. Prob. Lett. 193 109695 (2023). arxiv pdf.
  125. On the k nearest-neighbor path distance from the typical intersection in the Manhattan Poisson line Cox process, K. Koufos, H. S. Dhillon, M. Dianati and C. P. Dettmann, IEEE Trans. Mobile Comput. 22 1659-1671 (2023). pdf arxiv.
  126. Control mechanisms for mobile devices P. J. Smith, I. Singh, P. A. Dmochowski, C. P. Dettmann and J. P. Coon, IEEE Trans. Vehic. Tech. 72 6001-6008 (2023). pdf.
  127. Sunflower hard disk graphs C. P. Dettmann and O. Georgiou, Physica A 629 129180 (2023). pdf.
  128. Algebraic tunings C. P. Dettmann and L. Taylor-West, J. Math. Music 18 203-216 (2024). pdf supp.7z.
  129. Kronecker sequences with many distances C. P. Dettmann, Exper. Math. (published online). pdf.
  130. A billiard in an open circle and the Riemann zeta function L. A. Bunimovich and C. P. Dettmann, Exper. Math. (published online). pdf.
  131. Rounded triangular billiards C. P. Dettmann, Pure Appl. Func. Anal. (to appear).

    132. Conference papers

  132. Conference paper: Stochastic stabilization of the cosmic microwave background radiation, C. P. Dettmann, J. P. Keating and S. D. Prado, Proceedings of the Tenth Marcel Grossmann Meeting on General Relativity, ed M. Novello, S. Perez-Bergliaffa and R. Ruffini, World Scientific, Singapore (2006) ps pdf.
  133. Conference paper: Far-field emission pattern of a dielectric circular microresonator with a point scatterer, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, ICTON 2007, 4 197-200 (2007)
  134. Conference paper: TM and TE directional modes of an optical microdisk resonator with a point scatterer, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, ICTON 2008, 4, 65-68 (2008). pdf
  135. Conference paper: Optical microdisk resonator with a small but finite size scatterer, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, Third International Conference on Mathematical Modelling of Wave Phenomena (MMWP08), 287-289 (2008). pdf
  136. Conference paper: Systematization of All Resonance Modes in Circular Dielectric Cavities, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, ICTON 2009, 763-766 (2009). pdf
  137. Conference paper: Microdisk resonators with two point scatterers, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, ICTON 2011, 462-464 (2011). pdf
  138. Conference paper: Network connectivity through small openings, O. Georgiou, C. P. Dettmann and J. P. Coon, ISWCS 2013, 602-606 (2013). [Best paper award for track 3] arxiv pdf
  139. Conference paper: Network connectivity: Stochastic vs deterministic wireless channels, O. Georgiou, C. P. Dettmann and J. P. Coon, ICC 2014, 77-82 (2014) arxiv
  140. Conference paper: Connectivity in dense networks confined within right prisms, J. P. Coon, O. Georgiou and C. P. Dettmann, SPASWIN 2014, 628-635 (2014). arxiv pdf
  141. Conference paper: Betweenness centrality in dense random geometric networks, A. P. Kartun-Giles, O. Georgiou and C. P. Dettmann ICC 2015, 6450-6455 (2015). arxiv pdf
  142. Conference paper: Location, location, location: Border effects in interference limited ad hoc networks, O. Georgiou, S. Wang, M. Z. Bocus, C. P. Dettmann and J. P. Coon, Wiopt 2015 568-575 (2015). pdf
  143. Conference paper: More is less: Connectivity in fractal regions, C. P. Dettmann, O. Georgiou and J. P. Coon, ISWCS 2015, 636-640 (2015). arxiv
  144. Conference paper: Directional antennas improve the link-connectivity of interference limited ad hoc networks, O. Georgiou, S. Wang, M. Z. Bocus, C. P. Dettmann and J. P. Coon, PIMRC 2015, 1311-1316 (2015). arxiv pdf
  145. Conference paper: How does mobility affect the connectivity of interference-limited ad-hoc networks? P. Pratt, C. P. Dettmann and O. Georgiou, SPASWIN (2016). pdf arxiv
  146. Conference paper: How sticky is the chaos/order boundary? C. P. Dettmann, Contemporary Mathematics 698 111-128 (2017). pdf arxiv.
  147. Conference paper: Rateless coded adaptive transmission in cellular networks: Role of power control A. Rajanna and C. P. Dettmann, ICC 2018. pdf.
  148. Conference paper: SPIDER: A Bioinspired Swarm Algorithm for Adaptive Risk-Taking, E. R. Hunt, G. Jenkinson, M. Wilsher, C. P. Dettmann and S. Hauert, ALIFE 2020. pdf.
  149. Conference paper: 3D Mobility Models and Analysis for UAVs P. J. Smith, P. A. Dmochowski, I. Singh, R. Green, C. P. Dettmann and J. P. Coon, PIMRC 2020 pdf.

    150. Other publications

  150. Book chapter: The Lorentz gas as a paradigm for nonequilibrium stationary states, C. P. Dettmann, pp 315-365 in Hard ball systems and the Lorentz gas (edited by D. Szasz), Encyclopaedia of Mathematical Sciences Vol 101 (Springer, 2000). Full size version, 50 pages pdf. Environmental microscopic version, 25 pages pdf.
  151. Book review: Time reversibility, computer simulation and chaos, W. G. Hoover, (World Scientific, River Edge NJ, 1999); review published in Amer. J. Phys. 70 558-558 (2002) html
  152. Book chapter: Recent advances in open billiards with some open problems, C. P. Dettmann, in Frontiers in the study of chaotic dynamical systems with open problems (Ed. Z. Elhadj and J. C. Sprott, World Scientific, 2011) arxiv [Image featured in Plus magazine]

    153. Unpublished

  153. Web book contribution: "Stability ordering of cycle expansions" in the chapter "cycle expansions" in Classical and Quantum Chaos webbook, P. Cvitanovic' et al chaosbook.org
  154. Poster: Recent developments in periodic orbit theory C. P. Dettmann April 2002. ps
  155. Poster: Quantifying connectivity of ad-hoc networks, O. Georgiou and C. P. Dettmann, selected for presentation in the Houses of Parliament at SET for Britain 2014. pdf

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