Extended theorems of limit analysis

Extended Limit Design Theorems for Continuous Media

Earlier results [1,2]2 on safe loads for a Prandtl-Reuss material subject to surface tractions or displacements which increase in ratio are here extended to any perfectly plastic material and any history of loading.

Extended Renovation Theory and Limit Theorems for Stochastic Ordered Graphs ∗

We extend Borovkov’s renovation theory to obtain criteria for coupling-convergence of stochastic processes that do not necessarily obey stochastic recursions. The results are applied to an “infinite bin model”, a particular system that is an abstraction of a stochastic ordered graph, i.e., a graph on the integers that has (i, j), i < j, as an edge, with probability p, independently from edge to...

Entropy and Limit Theorems

I hereby declare that my thesis entitled`Entropy and Limit Theo-rems' is not substantially the same as any that I have submitted for a degree or diploma or other qualiication at any other University. I further state that no part of my thesis has already been or is being concurrently submitted for any such degree, diploma or other qualiication. Chapter 3 extends results from a paper co-written w...

Some Limit Theorems

Limit theorems for mergesort

Central and local limit theorems (including large deviations) are established for the number of comparisons used by the standard top-down recursive mergesort under the uniform permutation model. The method of proof utilizes Dirichlet series, Mellin transforms and standard analytic methods in probability theory.