Search for dissertations about: "p-adic"
Showing result 1 - 5 of 8 swedish dissertations containing the word p-adic.
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1. P-adic dynamical systems and van der Put basis technique
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
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2. Monomial Dynamical Systems in the Fields of p-adic Numbers and Their Finite Extensions
Abstract : .... READ MORE
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3. Study of ergodicity of p-adic dynamical systems with the aid of van der Put basis
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
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4. Algebraic Dynamical Systems, Analytical Results and Numerical Simulations
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
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5. On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point
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