No description available.

No description available.

Proefschrift Universiteit van Amsterdam. / Met lit. opg. - Met samenvatting in het Nederlands.

Thesis (Ph. D.)--Tohoku University, 2004. / "June 2004." Includes bibliographical references (p. 69-72).

A method of integrating over difficult sets in Eⁿ by replacing the characteristic function of the set with a discontinuous integral has been used by Markov, Chandrasekhar, Melzak, and others. This thesis employs this method in some problems arising from random walks. A discussion of the difficulties encountered and suggestions for further study are included. / Science, Faculty of / Mathematics, Department of / Graduate

A stock market speculation scheme proposed by Sidney S. Alexander was tested and was found to be more profitable than would be predicted on the assumption that stock prices perform a random walk with a Gaussian distribution and linear trend. The difference between empirical and theoretical gains was found to be statistically significant. By means of an F-ratio, it was demonstrated that the statistical estimate of the variance of the population of price fluctuations tends to increase as the size of sample is increased. This is consistent with the assumption that the population actually has an infinite variance, but is not consistent with the behavior which would be predicted by any variety of Gaussian random walk. The sophisticated quantity theory of money was found to be unable to account for any non-random movements in stock market price indices. / Business, Sauder School of / Graduate

No description available.

No description available.

No description available.

Self-avoiding walks on a d-dimensional hypercubic lattice are used to model a polymer interacting with a surface. One can choose to weight the walk by the number of vertices or the number of edges on the surface and define the free energy of the polymer using equilibrium statistical mechanics. We look at the behaviour of the free energy in the limit that temperature goes to zero and also derive inequalities relating the critical points of the two weighting schemes. A combined model with weights associated with both the number of vertices and the number of edges on the surface is investigated and the properties of its phase diagram are explored. Finally, we look at Motzkin paths and partially-directed walks in the combined edge and vertex model and compare their results to the self-avoiding walk’s.