# Browse Dissertations and Theses - Mathematics by Contributor "Palmore, Julian"

• (1993)
We establish the decomposition by the Arnold cat map of a uniform lattice of prime$\sp2$ sites into periodic orbits. We give a first integral (constant of motion) of this dynamical system and use it to find additional ...

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• (1994)
A cellular game is a dynamical system in which cells, placed in some discrete structure, are regarded as playing a game with their immediate neighbors. Individual strategies may be either deterministic or stochastic. ...

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• (1997)
This thesis explores the Hausdorff dimension of fractal sets generated by iterated function systems (IFS). Hutchinson studied IFS and obtained a useful formula to compute the Hausdorff dimension of fractals generated by a ...

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• (2000)
We investigate the iterative dynamics of symplectic piecewise-affine elliptic rotation maps associated with matrices with non-integer entries, 0-11a , where -2 < a < 2. We explain how their singularity and periodicity ...

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• (2000)
This work examines the behavior of meromorphic vector fields k(z) on the plane. The set of trajectories of k(z) whose maximal interval of definition is not all of R is called the incomplete set, and the analysis of ...

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• (1997)
A complex analytic map f always decomposes the complex plane into two dis-joint subsets, the Julia set J(f) on which the family of iterates of f, $\{f\sp{k}\}\sbsp{k=0}{\infty}$, fails to be a normal family, and its ...

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