Corpus ID: 14830045

p-adic discrete dynamical systems and their applications in physics and cognitive sciences

@inproceedings{Khrennikov2008padicDD,
  title={p-adic discrete dynamical systems and their applications in physics and cognitive sciences},
  author={Andrei Khrennikov},
  year={2008}
}
  • Andrei Khrennikov
  • Published 2008
  • Physics
  • This review is devoted to dynamical systems in fields of p-adic numbers: origin of p-adic dynamics in p-adic theoretical physics (string theory, quantum mechanics and field theory, spin glasses), continuous dynamical systems and discrete dynamical systems. The main attention is paid to discrete dynamical systems - iterations of maps in the field of p-adic numbers (or their algebraic extensions): ergodicity, behaviour of cycles, holomorphic dynamics. We also discuss applications of p-adic… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 127 REFERENCES

    and I

    • I. M. Gelfand, M. I. Grae
    • I. Pjatetskii-Shapiro, Representation theory and automorphic functions, London: Saunders,
    • 1966
    VIEW 8 EXCERPTS
    HIGHLY INFLUENTIAL

    Cycles of monomial dynamical systems over the field of p−adic numbers

    • M. Nilsson
    • Reports from Växjö University, no. 20,
    • 1999
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Khrennikov, M

    • A. Yu
    • Nilsson, R. Nyqvist, The asymptotic number of periodic points of discrete polynomial p-adic dynamical systems. Contemporary Math.,
    • 2003
    VIEW 1 EXCERPT

    Khrennikov, Quantum-like formalism for cognitive measurements, Biosystems

    • A. Yu
    • 2003

    Khrennikov, S

    • A. Yu
    • Ludkovsky, Stochastic processes in nonArchimedean spaces with values in non-Archimedean fields, Markov Processes and Related Fields,
    • 2003
    VIEW 1 EXCERPT

    Khrennikov, p-adic model of hierarchical intelligence, Dokl

    • A. Yu
    • Akad. Nauk.,
    • 2003

    Random Dynamical Systems

    VIEW 1 EXCERPT