I. Antoniou

Articles in Scholarly Journals [Incomplete List]

  1. Statistical Analysis of Weighted Networks
    Discrete Dynamics in Nature and Society, vol. 2008, Article ID 375452, 16 pages, 2008
  2. Jump-start in the analytic perturbation procedure for the Friedrichs model
    Journal of Physics A: Mathematical and General, vol. 38, no. 22, pp. 4811–4823, 2005
  3. The Hamiltonian Formalism in Fluid Dynamics
    Theoretical and Mathematical Physics, vol. 141, no. 3, pp. 1670–1685, 2004
  4. Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 7, no. 2, p. 261, 2004
  5. Relativity and irreversibility
    Discrete Dynamics in Nature and Society, vol. 2004, no. 1, pp. 35–49, 2004
  6. On a kinetic model of the internet traffic
    Discrete Dynamics in Nature and Society, vol. 2004, no. 1, pp. 19–34, 2004
  7. Robust methods for stock market data analysis
    Physica A: Statistical and Theoretical Physics, vol. 336, no. 3-4, pp. 538–548, 2004
  8. On the log-normal distribution of stock market data
    Physica A: Statistical Mechanics and its Applications, vol. 331, no. 3-4, pp. 617–638, 2004
  9. Probability from chaos
    International Journal of Quantum Chemistry, vol. 98, no. 2, pp. 150–159, 2004
  10. Fractal analysis of high burn-up structures in UO2
    Chaos, Solitons & Fractals, vol. 19, no. 4, pp. 731–737, 2004
  11. On Computability of Decaying and Nondecaying States in Quantum Systems with Cantor Spectra
    International Journal of Theoretical Physics, vol. 42, no. 10, pp. 2255–2263, 2003
  12. Journal of Statistical Physics, vol. 111, no. 1/2, pp. 355–369, 2003
  13. Gamow Vectors in Exactly Solvable Models
    International Journal of Theoretical Physics, vol. 42, no. 10, pp. 2389–2402, 2003
  14. Oscillating Decay of an Unstable System
    International Journal of Theoretical Physics, vol. 42, no. 10, pp. 2403–2421, 2003
  15. Resonances and time operator for the cusp map
    Chaos, Solitons & Fractals, vol. 17, no. 2-3, pp. 445–448, 2003
  16. New technology for the control of narrow-gap semiconductors
    Chaos, Solitons & Fractals, vol. 17, no. 2-3, pp. 219–223, 2003
  17. Decoherence and Zeno time in quantum computations
    Chaos, Solitons & Fractals, vol. 17, no. 2-3, pp. 311–315, 2003
  18. Time operators, innovations and approximations
    Chaos, Solitons & Fractals, vol. 17, no. 2-3, pp. 337–342, 2003
  19. Cellular automata study of high burn-up structures
    Chaos, Solitons & Fractals, vol. 18, no. 5, pp. 1111–1128, 2003
  20. Non-locality and quantum nanostructures
    Chaos, Solitons & Fractals, vol. 17, no. 2-3, pp. 277–281, 2003
  21. Internet traffic dynamics: local area network study
    Chaos, Solitons & Fractals, vol. 17, no. 2-3, pp. 305–309, 2003
  22. Wavelet filtering of network traffic measurements
    Physica A: Statistical Mechanics and its Applications, 2003
  23. On Serre's Problem for RIT Algebras
    Communications in Algebra, vol. 31, no. 12, pp. 6037–6050, 2003
  24. Unstable relativistic quantum fields: two models
    Journal of Physics A: Mathematical and General, vol. 36, no. 48, pp. 12109–12127, 2003
  25. Journal of Physics A: Mathematical and General, vol. 35, no. 12, pp. 2833–2844, 2002
  26. Elastic Neural Net for the Earthquake Epicenter Search
    Discrete Dynamics in Nature and Society, vol. 7, no. 1, pp. 1–6, 2002
  27. The resonance spectrum of the cusp map in the space of analytic functions
    Journal of Mathematical Physics, vol. 43, no. 7, p. 3746, 2002
  28. Quantum systems with fractal spectra
    Chaos, Solitons & Fractals, vol. 14, no. 6, pp. 799–807, 2002
  29. Open Systems and Information Dynamics, vol. 9, no. 4, pp. 301–313, 2002
  30. Analysis of resources distribution in economics based on entropy
    Physica A: Statistical Mechanics and its Applications, vol. 304, no. 3-4, pp. 525–534, 2002
  31. Foundations of Physics, vol. 32, no. 4, pp. 627–641, 2002
  32. The time operator of the cusp map
    Chaos, Solitons & Fractals, vol. 12, no. 9, pp. 1619–1627, 2001
  33. Non-factorizable extensions of the Liouville operator: the Friedrichs model
    Chaos, Solitons, & Fractals, vol. 12, no. 14-15, pp. 2603–2611, 2001
  34. The connection between the rigged Hilbert space and the complex scaling approaches for resonances. The Friedrichs model
    Chaos, Solitons, & Fractals, vol. 12, no. 14-15, pp. 2683–2688, 2001
  35. Examples of Gamow vectors
    Chaos, Solitons, & Fractals, vol. 12, no. 14-15, pp. 2707–2717, 2001
  36. Gamow vectors for barrier wells
    Chaos, Solitons, & Fractals, vol. 12, no. 14-15, pp. 2719–2736, 2001
  37. Gamow vectors for an unstable relativistic quantum field
    Chaos, Solitons, & Fractals, vol. 12, no. 14-15, pp. 2737–2746, 2001
  38. Gamov algebras
    Chaos, Solitons, & Fractals, vol. 12, no. 14-15, pp. 2757–2775, 2001
  39. On the torus automorphisms: analytic solution, computability and quantization
    Chaos, Solitons, & Fractals, vol. 12, no. 14-15, pp. 2805–2814, 2001
  40. Embedding the torus automorphisms to Hamiltonian flows
    Chaos, Solitons, & Fractals, vol. 12, no. 14-15, pp. 2815–2819, 2001
  41. Quantum Interference Processes on One-Dimensional Arrays
    physica status solidi (b), vol. 225, no. 2, pp. 317–329, 2001
  42. Decay spectrum and decay subspace of normal operators
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 131, no. 06, p. 1245, 2001
  43. Decay measures on locally compact abelian topological groups
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 131, no. 06, p. 1257, 2001
  44. Foundations of Physics, vol. 31, no. 11, pp. 1641–1655, 2001
  45. Identification of discrete chaotic maps with singular points
    Discrete Dynamics in Nature and Society, vol. 6, no. 3, pp. 147–156, 2001
  46. POINCARE-HILBERT SERIES, PI, AND NOETHERIANITY OF THE ENVELOPING OF THE RIT ALGEBRA
    Communications in Algebra, vol. 29, no. 9, pp. 4183–4196, 2001
  47. International Journal of Modern Physics C [Computational Physics and Physical Computation], vol. 11, no. 2, p. 213, 2000
  48. Stochastic filtering of digital images of skin micro-structure
    Computer Physics Communications, vol. 126, no. 1-2, pp. 1–11, 2000
  49. Identification and prediction of discrete chaotic maps applying a Chebyshev neural network
    Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 337–344, 2000
  50. Probabilistic control of chaos through small perturbations
    Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 359–371, 2000
  51. Extended spectral decompositions of the Renyi map
    Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 393–421, 2000
  52. Author reply to “Comments on 'Generalized spectral decomposition and intrinsic irreversibility of the Arnold Cat Map'”
    Chaos, Solitons & Fractals, vol. 11, no. 9, pp. 1475–1477, 2000
  53. Burridge–Knopoff model and self-similarity
    Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 207–222, 2000
  54. Forecasting financial derivative prices
    Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 223–229, 2000
  55. Non-uniform time operator, chaos and wavelets on the interval
    Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 423–435, 2000
  56. The Time operator of wavelets
    Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 443–452, 2000
  57. Comments on “Generalized spectral decomposition and intrinsic irreversibility of the Arnold Cat Map” by I. Antoniou, B. Qiao and Z. Suchanecki [Chaos, Solitons & Fractals 8 (1997) 77–90]
    Chaos, Solitons & Fractals, vol. 11, no. 9, pp. 1473–1474, 2000
  58. Time operator for diffusion
    Chaos, Solitons & Fractals, vol. 11, no. 4, pp. 465–477, 2000
  59. Wavelets and stochastic processes
    Mathematics and Computers in Simulation, vol. 49, no. 1-2, pp. 81–104, 1999
  60. New extended spectral decompositions of the Renyi map
    Physics Letters A, vol. 258, no. 4-6, pp. 237–243, 1999
  61. Modern Physics Letters A [Particles and Fields; Gravitation; Cosmology and Nuclear Physics], vol. 14, no. 33, p. 2287, 1999
  62. Emergence of collective behavior in a system of autonomous agents
    Discrete Dynamics in Nature and Society, vol. 3, no. 1, pp. 15–23, 1999
  63. Laws of Nature and Time Symmetry Breaking
    Annals of the New York Academy of Sciences, vol. 879, no. 1 TEMPOS IN SCI, pp. 8–28, 1999
  64. The spectrum of the Liouville–von Neumann operator in the Hilbert–Schmidt space
    Journal of Mathematical Physics, vol. 40, no. 8, p. 4106, 1999
  65. Time operators and shift representation of dynamical systems
    Physica A: Statistical Mechanics and its Applications, vol. 269, no. 2-4, pp. 299–313, 1999
  66. Relativistic Gamow vectors
    Journal of Mathematical Physics, vol. 39, no. 6, p. 2995, 1998
  67. Gamow vectors for degenerate scattering resonances
    Journal of Mathematical Physics, vol. 39, no. 5, p. 2459, 1998
  68. Simulation of earthquakes with cellular automata
    Discrete Dynamics in Nature and Society, vol. 2, no. 4, pp. 267–279, 1998
  69. Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 1, no. 1, p. 127, 1998
  70. International Journal of Bifurcation and Chaos [In Applied Sciences and Engineering], vol. 8, no. 2, p. 409, 1998
  71. On the inverse problem of statistical physics: from irreversible semigroups to chaotic dynamics
    Physica A: Statistical and Theoretical Physics, vol. 252, no. 3-4, pp. 345–361, 1998
  72. Spectral decomposition of expanding probabilistic dynamical systems
    Physics Letters A, vol. 239, no. 3, pp. 153–158, 1998
  73. International Journal of Theoretical Physics, vol. 37, no. 5, pp. 1641–1654, 1998
  74. Spectral decomposition of contracting probabilistic dynamical systems
    Chaos, Solitons & Fractals, vol. 9, no. 3, pp. 401–418, 1998
  75. Master equation for a quantum system driven by a strong periodic field in the quasienergy representation
    Physica A: Statistical and Theoretical Physics, vol. 246, no. 1-2, pp. 97–114, 1997
  76. Quantum systems with diagonal singularity: Their logic and intrinsic irreversibility
    Computers & Mathematics with Applications, vol. 34, no. 5-6, pp. 509–531, 1997
  77. The uniform over the whole line ? estimates of spectral expansions related to the selfadjoint extensions of the Hill operator and of the Schrödinger operator with a bounded and measurable potential
    Computers & Mathematics with Applications, vol. 34, no. 5-6, pp. 627–632, 1997
  78. Absolute and convective superradiance: Dynamics and macroscopic quantum fluctuations
    Computers & Mathematics with Applications, vol. 34, no. 7-8, pp. 751–771, 1997
  79. Probabilistic control of Chaos: Chaotic maps under control,
    Computers & Mathematics with Applications, vol. 34, no. 2-4, pp. 373–389, 1997
  80. Decay of correlations and control of chaotic billiards
    Computers & Mathematics with Applications, vol. 34, no. 2-4, pp. 391–398, 1997
  81. Resonances and the extension of dynamics to rigged Hilbert space
    Computers & Mathematics with Applications, vol. 34, no. 5-6, pp. 399–425, 1997
  82. Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spaces
    Computers & Mathematics with Applications, vol. 34, no. 2-4, pp. 95–102, 1997
  83. Initial, non-exponential decay in billiards
    Physics Letters A, vol. 226, no. 3-4, pp. 167–171, 1997
  84. From irreversible Markov semigroups to chaotic dynamics
    Physica A: Statistical and Theoretical Physics, vol. 236, no. 3-4, pp. 296–308, 1997
  85. Intrinsic irreversibility of quantum systems with diagonal singularity
    Physica A: Statistical and Theoretical Physics, vol. 241, no. 3-4, pp. 737–772, 1997
  86. Probabilistic extension and logic of complex unstable dynamical systems
    Nonlinear Analysis, vol. 30, no. 4, pp. 1939–1958, 1997
  87. Chaos and Singularities in the Mixmaster Universe
    Progress of Theoretical Physics, vol. 98, no. 6, pp. 1225–1250, 1997
  88. Generalized spectral decomposition and intrinsic irreversibility of the Arnold Cat Map
    Chaos, Solitons & Fractals, vol. 8, no. 1, pp. 77–90, 1997
  89. Rigged Hilbert spaces for chaotic dynamical systems
    Journal of Mathematical Physics, vol. 37, no. 11, p. 5837, 1996
  90. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 6, no. 8, p. 1563, 1996
  91. Spectral decomposition of the tent maps and the isomorphism of dynamical systems
    Physics Letters A, vol. 215, no. 5-6, pp. 280–290, 1996
  92. Spectral decomposition of Chebyshev maps
    Physica A: Statistical and Theoretical Physics, vol. 233, no. 1-2, pp. 449–457, 1996
  93. Spectral decomposition of piecewise linear monotonic maps
    Chaos, Solitons & Fractals, vol. 7, no. 11, pp. 1895–1911, 1996
  94. A quantum mechanical arrow of time and the semigroup time evolution of Gamow vectors
    Journal of Mathematical Physics, vol. 36, no. 6, p. 2593, 1995
  95. The preparation-registration arrow of time in quantum mechanics
    Physics Letters A, vol. 189, no. 6, pp. 442–448, 1994
  96. The logic of quantum systems with diagonal singularities
    Foundations of Physics, vol. 24, no. 10, pp. 1439–1457, 1994
  97. Spectral decomposition and fractal eigenvectors for a class of piecewise linear maps
    Chaos, Solitons & Fractals, vol. 4, no. 2, pp. 227–254, 1994
  98. The fuzzy logic of chaos and probabilistic inference
    Foundations of Physics, vol. 27, no. 3, pp. 333–362, 1994
  99. Ergodic properties of piecewise linear maps on fractal repellers
    Physics Letters A, vol. 179, no. 2, pp. 103–110, 1993
  100. Deterministic diffusion, De Rham equation and fractal eigenvectors
    Physics Letters A, vol. 179, no. 2, pp. 97–102, 1993
  101. From probabilistic descriptions to deterministic dynamics
    Physica A: Statistical and Theoretical Physics, vol. 197, no. 1-2, pp. 153–166, 1993
  102. Intrinsic irreversibility and integrability of dynamics
    Physica A: Statistical and Theoretical Physics, vol. 192, no. 3, pp. 443–464, 1993
  103. Generalized spectral decomposition of the ß-adic baker's transformation and intrinsic irreversibility
    Physica A: Statistical and Theoretical Physics, vol. 190, no. 3-4, pp. 303–329, 1992
  104. Relativistic internal time operator
    International Journal of Theoretical Physics, vol. 31, no. 1, pp. 119–136, 1992
  105. Characterization of semidirect sum Lie algebras
    Journal of Mathematical Physics, vol. 32, no. 4, p. 864, 1991
  106. The relativistic internal time algebra
    Nuclear Physics B - Proceedings Supplements, vol. 6, pp. 240–242, 1989