# Browse Dissertations and Theses - Mathematics by Title

• (2004)
We conclude with a preliminary description of some joint work with Nigel Boston on the asymptotic distributions of non-abelian G with respect to the discriminant.

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• (1981)
1-generic sets possess all properties which can be obtained through "sufficiently simple" Kleene-Post constructions, but no recursively enumerable (r.e.) set can be 1-generic. P-genericity is the result of a ...

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• (2015-05-28)
After briefly discussing classical results of Farey fractions and Ford circles, we define and study a new family of parabolas in connection with Ford circles and discover some interesting properties that they have. Using ...

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• (1977)

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• (2002)
The strength of this notion of uniformity can be exhibited by way of "representation results". We show that the possible parametric transformations of certain type correspond to the intuitively uniform families of functions ...

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• (2008)
Earlier work demonstrated a finite number of Pareto-optimal classes of motion plans when the robots are subjected to velocity bounds but no acceleration bounds. We prove that, when velocity and acceleration are bounded, ...

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• (1965)

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• (2006)
The spectrum of the integral operator whose kernel is the covariance function of a random variable plays an important role in finding the distribution of the random variable. We consider methods for producing estimates of ...

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• (2004)
We also study Ramsey degrees, i.e. those Turing degrees which are able to compute homogeneous sets for every computable 2-coloring of pairs of natural numbers, in an attempt to further understand the effective content of ...

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• (1977)

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• (1966)

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• (1955)

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• (1979)

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• (2003)
We consider a delay equation whose delay is perturbed by a small periodic fluctuation. In Particular, it is assumed that the delay equation exhibits a Hopf bifurcation when its delay Is unperturbed. The periodically perturbed ...

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• (1965)

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• (1960)

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• (1978)

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• (1980)
The Pettis integral of a weakly measurable vector-valued function is the most natural integral for use in Banach spaces. Although first defined over forty years ago, the integral has stubbornly defied analysis and has long ...

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• (1974)

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• (2002)
We prove the planar triple bubble conjecture that the standard triple bubble is the unique least-perimeter way to enclose and separate three regions of given areas. We also prove a bound on the number of convex components ...

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