Large deviation principle for fractional Brownian motion with respect to capacity

We show that fractional Brownian motion(fBM) defined via Volterra integral representation with Hurst parameter $H\geq\frac{1}{2}$ is a quasi-surely defined Wiener functional on classical Wiener space,and we establish the large deviation principle(LDP) for such fBM with respect to $(p,r)$-capacity on classical Wiener space in Malliavin's sense

Finite Pseudo-Differential Operators, Localization Operators for Curvelet and Ridgelet Transforms

Pseudo-differential operators can be built from the Fourier transform. However, besides the difficult problems in proving convergence and L^2-boundedness, the problem of finding eigenvalues is notoriously difficult. Finite analogs of pseudo-differential operators are desirable and indeed are constructed in this dissertation. Energized by the success of the Fourier transform and wavelet transforms, the last two decades saw the rapid developments of new tools in time-frequency analysis, such as ridgelet transforms and curvelet transforms, to deal with higher dimensional signals. Both curvelet transforms and ridgelet transforms give the time/position-frequency representations of signals that involve the interactions of translation, rotation and dilation, and they can be ideally used to represent signals and images with discontinuities lying on a curve such as images with edges. Given the resolution of the identity formulas for these two transforms, localization operators on them are constructed. The later part of this dissertation is to investigate the L^2-boundedness of the localization operators for curvelet transforms and ridgelet transforms, as well as their trace properties

Imaging the subsurface in eastern part of Lake Chesterfield using a combination of geophysical tools

The Lake Chesterfield North Dam in Wildwood city, Missouri has been leaking, more or less continuously since the dam was constructed in 1986 despite mitigation efforts in 1988, 1994, 1995, 2004, and 2005. Neither the grouting efforts in 1988, 1994, 1995, 2004 or 2005, nor the placement and rehabilitation of an impervious clay liner in 2005 has solved the problem. Indeed, in June of 2017, the water level in Lake Chesterfield dropped at an alarmingly rapid rate. Prior to authorizing additional mitigation work, the Lake Chesterfield Home Owners Association (LCHOA) decided to acquire geophysical data across the dry lake bed. The intent was to 1) map variable depth to the top of the rock; 2) identify karst features, including sinkholes and joints; 3) identify potential seepage pathway; and 4) determine soil and rock quality (based on resistivity and shear-wave velocity). It was believed that this information would help a geotechnical engineering firm determine the most appropriate mitigation plan. During the survey, electrical resistivity tomography (ERT), multichannel analyses of surface wave (MASW) and spontaneous-potential (SP) geophysical tools were acquired across the dry lake bed. The interpretation of the data shows average depth to the top of rock is 10 ft. which consist with the test pit result by Geotechnology, Inc.; the rock above elevation of 600 ft. in Lake Chesterfield is mostly weathered/fractured limestone and can be described as poor-quality rock which could easily develop karst feature; three low resistivity zones at elevation below 600 ft. were found and could serve as vertical conduit of flowing groundwater; and two prominent low resistivity zones were found that could serve as potential seepage pathways through the North Dam --Abstract, page iii

Molecular insights into gas adsorption and competitive adsorption behavior of CH4/CO2 in coal seam gas reservoir with the presence of comprehensive influencing factors

This thesis focuses on the investigation of adsorption and competitive adsorption behavior of CH4 and CO2 in coalbeds with respect to the presence of encroachment water, salinity and ethane. For that propose the thesis is split into three parts: Part I discusses the gas adsorption behavior in a simplified coalbed slit, which is represented by a three-layer graphene. The coal model is constructed by the Molecular Dynamics simulation, and the gas adsorption profiles are defined by employing the grand canonical Monte Carlo simulation. Then the effects of encroached water, salinity concentration and C2H6 on CH4 adsorption and the Preferential adsorption Selectivity are discussed. Encroached water and associated gas C2H6 usually negatively affect the CH4 adsorption process; however, an advantageous effect on the Preferential adsorption Selectivity. Part II is undertaken in a kerogen matrix, which focuses on the gas adsorption behavior within the micropores of the coalbeds. And the aforementioned terms are investigated in this kerogen model. Because H2O has superior affinity with coalbed, CH4 adsorption is dramatically reduced with the presence of encroached water and shows a further reduction with the increasing salinity of NaCl dissolution. Additionally, C2H6 has a negative on CH4 adsorption. And the above-mentioned terms promotes the Preferential adsorption Selectivity. Part III combines the two essentials of slit and micropores jointly to represent a more realistic coalbed. Comparisons of absolute, excess adsorption are made in matrix and the entire coalbed model. This shows the great essential of the embedded slit, which exhibits the significance of this combined coalbed model. The prementioned terms are probed and discussed, which have impeded influences on single phase gas adsorption but favor the Preferential adsorption Selectivity

Human-robot interaction for assistive robotics

This dissertation presents an in-depth study of human-robot interaction (HRI) withapplication to assistive robotics. In various studies, dexterous in-hand manipulation is included, assistive robots for Sit-To-stand (STS) assistance along with the human intention estimation. In Chapter 1, the background and issues of HRI are explicitly discussed. In Chapter 2, the literature review introduces the recent state-of-the-art research on HRI, such as physical Human-Robot Interaction (HRI), robot STS assistance, dexterous in hand manipulation and human intention estimation. In Chapter 3, various models and control algorithms are described in detail. Chapter 4 introduces the research equipment. Chapter 5 presents innovative theories and implementations of HRI in assistive robotics, including a general methodology of robotic assistance from the human perspective, novel hardware design, robotic sit-to-stand (STS) assistance, human intention estimation, and control