This thesis examines the mixing times for one-dimensional interacting particle systems. We use the coupling method to study the mixing rates for particle systems on the circle which move according to specific permutations e.g., transpositions and 3-cycles.
In the past, multimedia technology focused mainly on designing high quality audio and graphical imagery as well as providing adequate performance levels that the users demand for multimedia applications. However, the concept of multimedia has expanded into New-Media that involves variety use of multimedia data in consumer-oriented applications, such as...
Modern superscalar processors exploit instruction-level parallelism (ILP) by issuing multiple instructions in a single cycle because of increasing demand for higher performance in computing. However, stalls due to cache misses severely degrade the performance by disturbing the exploitation of ILP. Multiprocessors also greatly exacerbate the memory latency problem. In SMPs,...
An observability problem for both deterministic and stochastic
systems is studied here.
Deterministic observability is a determination of whether every
state of the system is connected to the observation mechanism and how
it is connected, if connected. On the other hand, stochastic
observability discusses the "tightness" of the connection in...
Controls of substrate quality, temperature, and moisture on woody root decomposition in the Pacific Northwest were explored using chronosequences, time series, laboratory incubations, and simulation modeling approaches at three sites: Cascade Head
(CAH), H. J. Andrews (HJA), and Pringle Falls Experimental Forests (PRF). In the chronosequence study, a structural component-oriented...
Stochastic analysis procedures have been recently applied to analyze nonlinear
dynamical systems. In this study, nonlinear responses, stochastic and/or chaotic, are
examined and interpreted from a probabilistic perspective. A multi-point-moored
ocean structural system under regular and irregular wave excitations is analytically
examined via a generalized stochastic Melnikov function and Markov...