Certain important concepts from the theory of Gibbs states are
first described in the simple setting of the finite volume case. With
the extension to the infinite volume case, Gibbs states are defined,
exhibiting two different approaches to the subject. The general
structure of the set of Gibbs states is...
In probability and statistics, Simpson’s paradox is an apparent paradox in which a trend is present in different groups, but is reversed when the groups are combined. Joel Cohen (1986) has shown that continuously distributed lifetimes can never have a Simpson’s paradox. We investigate the same question for discrete random...
We introduce a model for the surplus of nonprofit organizations (NPO). We assume two types of spending schemes for an NPO. Type I is a constant spending rate and Type II is a variable rate above and below a cut-off reserve level. Under steady state, we compute and compare the...
Each chapter in this expository paper considers a mathematical model of an aspect of animal behavior, and how it affects the patterns of movement across and within a landscape. These models are all directly or indirectly related to questions in either Behavioral Ecology or Landscape Ecology, or both. I first...
In this work, we provide a detailed analysis of a discrete time regime switching financial market model with jumps. We consider the model under two different scenarios: known and unknown initial regime. For each scenario we investigated conditions that guarantee the model's completeness. We find that the model under consideration...
An analytical model is developed to address the question of how different disturbance
regimes affect the mean and variance of landscape carbon storage in forest ecosystems. Total landscape carbon is divided into five pools based on the processes from which they are derived and based on their temporal dynamics. Formulae...
Empirical observations have established connections between river network geometry
and various hydrophysical quantities of interest. Since rivers can be decomposed into
basic components known as links, one would like to understand the physical processes at
work in link formation and maintenance. The author develops a natural stochastic
geometric model for...
The use of a three-pipe distribution system is known to impair
the operating costs of an air conditioning system. Additional costs
are encountered because heating water and cooling water are mixed
in a common return pipe after use by the various air conditioning
units. This investigation covers the design and...
Numerous tests were applied to rainbow trout
of eleven months of age to determine whether
ascorbic acid is an essential element of the diet
of these fish. Although previous work had been
done on this question, conflicts in the results,
the large reliance upon abnormal symptoms such as
lordosis and...
