Search for dissertations about: "p-adic numbers"

Found 5 swedish dissertations containing the words p-adic numbers.

  1. 1. P-adic dynamical systems and van der Put basis technique

    Author : Ekaterina Yurova Axelsson; Andrei Khrennikov; Franco Vivaldi; Linnéuniversitetet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; dynamical systems; p-adic; 1-Lipschitz; measure-preserving; ergodicity; spheres; uniformly differentiable; Tillämpad matematik; Applied Mathematics;

    Abstract : Theory of dynamical systems in fields of p-adic numbers is  an important part of algebraic and arithmetic dynamics. The study of p-adic dynamical systems is motivated by their applications in various areas of mathematics, e.g., in physics, genetics, biology, cognitive science, neurophysiology, computer science, cryptology, etc. READ MORE

  2. 2. Monomial Dynamical Systems in the Fields of p-adic Numbers and Their Finite Extensions

    Author : Marcus Nilsson; Andrei Khrennikov; Bertin Diarra; Växjö universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; p-adic numbers; discrete dynamical systems; number of cycles; perturbation; roots of unity; Möbius inversion; distribution of prime numbers; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : .... READ MORE

  3. 3. Study of ergodicity of p-adic dynamical systems with the aid of van der Put basis

    Author : Ekaterina Yurova; Andrei Khrennikov; Valery Maksimov; Linnéuniversitetet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; p-adic numbers; van der Put basis; 1-Lipschitz; measure-preserving; ergodicity; sphere; T-function; Tillämpad matematik; Applied Mathematics;

    Abstract : The study of p-adic dynamical systems is motivated by their applications in various (and surprisingly diverse) areas of mathematics, e.g., in physics, genetics, biology, cognitive science, neurophysiology, computer science, cryptology, etc. READ MORE

  4. 4. Algebraic Dynamical Systems, Analytical Results and Numerical Simulations

    Author : Robert Nyqvist; Andrei Khrennikov; Vladimir Anashin; Växjö universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; discrete dynamical systems; p-adic numbers; finite fields; number of periodic points; Chebotarev s Density Theorem; computational number theory; MATHEMATICS; MATEMATIK; algebraic dynamical systems;

    Abstract : In this thesis we study discrete dynamical system, given by a polynomial, over both finite extension of the fields of p-adic numbers and over finite fields. Especially in the p-adic case, we study fixed points of dynamical systems, and which elements that are attracted to them. We show with different examples how complex these dynamics are. READ MORE

  5. 5. On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point

    Author : Karl-Olof Lindahl; Andrei Khrennikov; Franco Vivaldi; Växjö universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; dynamical system; linearization; conjugation; non-Archimedean field; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; Matematik;

    Abstract : We consider the problem of local linearization of power series defined over complete valued fields. The complex field case has been studied since the end of the nineteenth century, and renders a delicate number theoretical problem of small divisors related to diophantine approximation. READ MORE