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Filtering by: Subject Differentiable dynamical systems Remove constraint Subject: Differentiable dynamical systems Advisor Petsche, Clayton Remove constraint Advisor: Petsche, Clayton

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  • Arithmetic dynamical questions with local rationality conditions

    Creator:
    Noytaptim, Chatchai
    Abstract:
    We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...
    Resource Type:
    Dissertation
    Full Text:
    ) ∈ K[x] of degree d > 1. For a dynamical system f ∶ K → K, we usually denote by fn, the n-fold