3 resultados para Historical symmetries

em Digital Commons - Michigan Tech


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The number of record-breaking events expected to occur in a strictly stationary time-series depends only on the number of values in the time-series, regardless of distribution. This holds whether the events are record-breaking highs or lows and whether we count from past to present or present to past. However, these symmetries are broken in distinct ways by trends in the mean and variance. We define indices that capture this information and use them to detect weak trends from multiple time-series. Here, we use these methods to answer the following questions: (1) Is there a variability trend among globally distributed surface temperature time-series? We find a significant decreasing variability over the past century for the Global Historical Climatology Network (GHCN). This corresponds to about a 10% change in the standard deviation of inter-annual monthly mean temperature distributions. (2) How are record-breaking high and low surface temperatures in the United States affected by time period? We investigate the United States Historical Climatology Network (USHCN) and find that the ratio of record-breaking highs to lows in 2006 increases as the time-series extend further into the past. When we consider the ratio as it evolves with respect to a fixed start year, we find it is strongly correlated with the ensemble mean. We also compare the ratios for USHCN and GHCN (minus USHCN stations). We find the ratios grow monotonically in the GHCN data set, but not in the USHCN data set. (3) Do we detect either mean or variance trends in annual precipitation within the United States? We find that the total annual and monthly precipitation in the United States (USHCN) has increased over the past century. Evidence for a trend in variance is inconclusive.

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We introduce a recursive bosonic quantization technique for generating classical PT photonic structures that possess hidden symmetries and higher order exceptional points. We study light transport in these geometries and we demonstrate that perfect state transfer is possible only for certain initial conditions. Moreover, we show that for the same propagation direction, left and right coherent transports are not symmetric with field amplitudes following two different trajectories. A general scheme for identifying the conservation laws in such PT-symmetric photonic networks is also presented.

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This dissertation examines the genesis and development of Keweenaw National Historical Park in Michigan's Upper Peninsula. After the decline of a once-thriving copper mining industry, local residents pursued the creation of a national park as a way to encourage economic development, revitalize their community, and preserve their historic resources. Although they were ultimately successful in creating a national park, the park that was established was not the park that they envisioned. Over the next twenty years, the National Park Service, the park's federal Advisory Commission, and the communities on the Keweenaw Peninsula struggled to align unrealistic expectations with the actual capabilities and limitations of the park. The first chapter of this dissertation includes a short history of the decline of the copper industry in and around the village of Calumet, Michigan. This chapter also includes a discussion about the techniques and challenges of preserving and interpreting industrial heritage. Chapters 2 and 3 cover the events from the initial park proposal, to the expansion of the original idea, to the establishment of the park. Chapter 4 includes an examination of the enabling legislation and a discussion about the opportunities and challenges it provided. Chapters 5 through 8 cover the tenure of each of the four NPS superintendents as they navigated the complexities presented by a park model that was part partnership park and part traditional national park. Chapter 9 includes some key lessons, an assessment of the park's success, and some considerations for the future. In particular, Chapter 9 argues for an increased focus on the partnership aspects of the park, a reduction in the perceived scope of responsibilities, and a renewed effort to rally the existing partners in pursuing additional philanthropic support for the overall park.