Descriptive set theory and the ergodic theory of countable groups

The primary focus of this thesis is on the interplay of descriptive set theory and the ergodic theory of group actions. This incorporates the study of turbulence and Borel reducibility on the one hand, and the theory of orbit equivalence and weak equivalence on the other. Chapter 2 is joint work with Clinton Conley and Alexander Kechris; we study measurable graph combinatorial invariants of group actions and employ the ultraproduct construction as a way of constructing various measure preserving actions with desirable properties. Chapter 3 is joint work with Lewis Bowen; we study the property MD of residually finite groups, and we prove a conjecture of Kechris by showing that under general hypotheses property MD is inherited by a group from one of its co-amenable subgroups. Chapter 4 is a study of weak equivalence. One of the main results answers a question of Abért and Elek by showing that within any free weak equivalence class the isomorphism relation does not admit classification by countable structures. The proof relies on affirming a conjecture of Ioana by showing that the product of a free action with a Bernoulli shift is weakly equivalent to the original action. Chapter 5 studies the relationship between mixing and freeness properties of measure preserving actions. Chapter 6 studies how approximation properties of ergodic actions and unitary representations are reflected group theoretically and also operator algebraically via a group's reduced C^*-algebra. Chapter 7 is an appendix which includes various results on mixing via filters and on Gaussian actions.

The distribution of Corixidae in relation to the water quality of British lakes: A monitoring model

This article is an attempt to devise a method of using certain species of Corixidae as a basis for the assessment of general water quality in lakes. An empirical graphical representation of the distribution of populations or communities of Corixidae in relation to conductivity, based mainly on English and Welsh lakes, is used as a predictive monitoring model to establish the "expected" normal community at a given conductivity, representing the total ionic concentration of the water body. A test sample from another lake of known conductivity is then compared with "expected" community. The "goodness of fit" is examined visually or by calculation of indices of similarity based on the relative proportions of the constituent species of each community. A computer programme has been devised for this purpose.

A. An investigation of the relation between the tensile strength and (Brinell) hardness of non-ferrous alloys. B. A design of a fatigue testing machine for a college laboratory

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Complexity of rupture propagation in large earthquakes in relation to tectonic environment

Complexity in the earthquake rupture process can result from many factors. This study investigates the origin of such complexity by examining several recent, large earthquakes in detail. In each case the local tectonic environment plays an important role in understanding the source of the complexity.

Several large shallow earthquakes (M_s > 7.0) along the Middle American Trench have similarities and differences between them that may lead to a better understanding of fracture and subduction processes. They are predominantly thrust events consistent with the known subduction of the Cocos plate beneath N. America. Two events occurring along this subduction zone close to triple junctions show considerable complexity. This may be attributable to a more heterogeneous stress environment in these regions and as such has implications for other subduction zone boundaries.

An event which looks complex but is actually rather simple is the 1978 Bermuda earthquake (M_s ~ 6). It is located predominantly in the mantle. Its mechanism is one of pure thrust faulting with a strike N 20°W and dip 42°NE. Its apparent complexity is caused by local crustal structure. This is an important event in terms of understanding and estimating seismic hazard on the eastern seaboard of N. America.

A study of several large strike-slip continental earthquakes identifies characteristics which are common to them and may be useful in determining what to expect from the next great earthquake on the San Andreas fault. The events are the 1976 Guatemala earthquake on the Motagua fault and two events on the Anatolian fault in Turkey (the 1967, Mudurnu Valley and 1976, E. Turkey events). An attempt to model the complex P-waveforms of these events results in good synthetic fits for the Guatemala and Mudurnu Valley events. However, the E. Turkey event proves to be too complex as it may have associated thrust or normal faulting. Several individual sources occurring at intervals of between 5 and 20 seconds characterize the Guatemala and Mudurnu Valley events. The maximum size of an individual source appears to be bounded at about 5 x 10²⁶ dyne-cm. A detailed source study including directivity is performed on the Guatemala event. The source time history of the Mudurnu Valley event illustrates its significance in modeling strong ground motion in the near field. The complex source time series of the 1967 event produces amplitudes greater by a factor of 2.5 than a uniform model scaled to the same size for a station 20 km from the fault.

Three large and important earthquakes demonstrate an important type of complexity --- multiple-fault complexity. The first, the 1976 Philippine earthquake, an oblique thrust event, represents the first seismological evidence for a northeast dipping subduction zone beneath the island of Mindanao. A large event, following the mainshock by 12 hours, occurred outside the aftershock area and apparently resulted from motion on a subsidiary fault since the event had a strike-slip mechanism.

An aftershock of the great 1960 Chilean earthquake on June 6, 1960, proved to be an interesting discovery. It appears to be a large strike-slip event at the main rupture's southern boundary. It most likely occurred on the landward extension of the Chile Rise transform fault, in the subducting plate. The results for this event suggest that a small event triggered a series of slow events; the duration of the whole sequence being longer than 1 hour. This is indeed a "slow earthquake".

Perhaps one of the most complex of events is the recent Tangshan, China event. It began as a large strike-slip event. Within several seconds of the mainshock it may have triggered thrust faulting to the south of the epicenter. There is no doubt, however, that it triggered a large oblique normal event to the northeast, 15 hours after the mainshock. This event certainly contributed to the great loss of life-sustained as a result of the Tangshan earthquake sequence.

What has been learned from these studies has been applied to predict what one might expect from the next great earthquake on the San Andreas. The expectation from this study is that such an event would be a large complex event, not unlike, but perhaps larger than, the Guatemala or Mudurnu Valley events. That is to say, it will most likely consist of a series of individual events in sequence. It is also quite possible that the event could trigger associated faulting on neighboring fault systems such as those occurring in the Transverse Ranges. This has important bearing on the earthquake hazard estimation for the region.

Activity of perch, Perca fluviatilis L. in relation to water temperature [Translation from: Kalamies 1973(6) 4.]

Catchability and activity of Perca fluviatilis in relation to temperature is examined. The number of fish caught and water temperature during the 3 summer months was used the assess the numbers of hours of activity of perch. Parallel to the research on activity, large-scale marking was carried out to establish the periods of growth during the year.

Feeding of larval Cricotopus silvestris F. in relation to characters of structure of oral apparatus [Translation from: C.R.Acad.Sci.USSR.100, 1191-1193, 1955]

Laboratory research was done in order to study the feeding of larval Cricotopus silvestris F. in relation to characters of structure of oral apparatus. Results of the experiments are summarised and the oral apparatus morhologically described.

Alligator Diet in Relation to Alligator Mortality on Lake Griffin, FL

Alligator mississippiensis (American Alligators) demonstrated low hatchrate success and increased adult mortality on Lake Griffin, FL, between 1998 and 2003. Dying Lake Griffin alligators with symptoms of poor motor coordination were reported to show specific neurological impairment and brain lesions. Similar lesions were documented in salmonines that consumed clupeids with high thiaminase levels. Therefore, we investigated the diet of Lake Griffin alligators and compared it with alligator diets from two lakes that exhibited relatively low levels of unexplained alligator mortality to see if consumption of Dorosoma cepedianum (gizzard shad) could be correlated with patterns of mortality. Shad in both lakes Griffin and Apopka had high levels of thiaminase and Lake Apopka alligators were consuming greater amounts of shad relative to Lake Griffin without showing mortality rates similar to Lake Griffin alligators. Therefore, a relationship between shad consumption alone and alligator mortality is not supported.

Studies on rabbit reticulocyte ribosomes and polyribosomes and their relation to hemoglobin synthesis

This dissertation is divided into three parts.

The first section is concerned with protein synthesis in cellfree systems from reticulocytes. The sub-cellular reticulocyte fractions, reagents, etc. have been examined for the presence of traces of ribonuclease, using. an assay based upon the loss of infectivity of RNA fran bacteriophage MS2. This assay is sensitive to 5 x 10^-7 γ RNase/ml. In addition, the loss of synthetic capacity of an 80S ribosome on dissociation has been studied, and can be attributed to loss of messenger RNA when the monomer is separated into subunits. The presence of ribonuclease has been shown to be a major cause of polyribosome disintegration during cell-free protein synthesis.

The second section concerns the changes in ribosomes and polyribosomes which occur during the maturation of a reticulocyte into an erythrocyte. With increasing age, the cells lose a large proportion of the ribonucleoprotein, but the percentage of ribosomes present as polyribosomes is only slightly altered. The loss of hemoglobin synthesis on maturation is probably due to both the loss of total ribosomes and to the lessened specific activity of the polyribosomes.

The third section contains analytical ultracentrifugation data on 80S ribosomes, polyribosomes, and ribosomal RNA from reticulocytes. The 60s and 40s subunits, obtained by dissociation of the 80s particle with inorganic pyrophosphate, were also studied. The RNA from reticulocyte ribosomes has been examined under a variety of denaturing conditions, including dimethyl sulfoxide treatment, formaldehyde reaction and thermal denaturation. From these studies we can conclude that the 28S and 16S RNA's are single polynucleotide chains and are not made up of smaller RNA subunits hydrogen-bonded together.

A survey of estuarine oxygen concentrations in relation to the passage of migratory salmonids

This report presents the first attempt at a national assessment of an Environmental Quality Standard (EQS) for dissolved oxygen (DO) in estuaries with the objective of allowing the passage of migratory salmonids. Under the Control of Pollution Act, Water Authorities and River Purification Boards have powers to control discharges to estuaries and need to define an EQS for the calculation of consent conditions. The object of any such standards is to permit the existence of good quality salmonid fisheries with only very occasional restrictions to the passage of fish. The report gives brief summaries of the DO regime in estuaries, the oxygen requirements of salmonids, and of tentative standards proposed by various authorities. These standards are then compared with DO and fishery data from UK estuaries, provided by the appropriate regulatory authorities. It concludes that a minimum annual lower 95-percentile of 5.0 mg/1 will meet the objective in most estuaries, and that a lower value of 3.0 mg/1 will permit the establishment of a more restricted fishery. However, more stringent standards may be needed in estuaries containing high concentrations of toxic pollutants. containing high concentrations of toxic pollutants.

The movements of salmon in relation to variations in air and water temperatures

The temperature of water in a river system affects fish in various ways; it has an influence on feeding habits, movement and metabolism. All fish vary in their ability to tolerate fluctuations in temperature, but those that live in a reasonably stable environment are more sensitive to major changes (tropical fish) than are salmon which can tolerate abrupt changes. The body temperature of the majority of fish differs from that of the surrounding water by only 0.5 to 1.0 degrees, and changes in temperature can, in many cases, be a signalling factor for some process, for example spawning, migration or feeding. It has been found, after monitoring the activity in 2,623 salmon in the River Lune, that they live in a water temperature of 0-17 degrees. Whilst salmon ova can develop in a temperature range of 0-12 degrees, spawning takes place within a much closer range, and these tolerances will be found in the Report. This report offers data and analysis of fish movement correlated to water temperature for the years 1964/65.