21,794 research outputs found
A Functional Approach to FBSDEs and Its Application in Optimal Portfolios
In Liang et al (2009), the current authors demonstrated that BSDEs can be
reformulated as functional differential equations, and as an application, they
solved BSDEs on general filtered probability spaces. In this paper the authors
continue the study of functional differential equations and demonstrate how
such approach can be used to solve FBSDEs. By this approach the equations can
be solved in one direction altogether rather than in a forward and backward
way. The solutions of FBSDEs are then employed to construct the weak solutions
to a class of BSDE systems (not necessarily scalar) with quadratic growth, by a
nonlinear version of Girsanov's transformation. As the solving procedure is
constructive, the authors not only obtain the existence and uniqueness theorem,
but also really work out the solutions to such class of BSDE systems with
quadratic growth. Finally an optimal portfolio problem in incomplete markets is
solved based on the functional differential equation approach and the nonlinear
Girsanov's transformation.Comment: 26 page
High-Precision Entropy Values for Spanning Trees in Lattices
Shrock and Wu have given numerical values for the exponential growth rate of
the number of spanning trees in Euclidean lattices. We give a new technique for
numerical evaluation that gives much more precise values, together with
rigorous bounds on the accuracy. In particular, the new values resolve one of
their questions.Comment: 7 pages. Revision mentions alternative approach. Title changed
slightly. 2nd revision corrects first displayed equatio
Comparison of FDMA and CDMA for second generation land-mobile satellite communications
Code Division Multiple Access (CDMA) and Frequency Division Multiple Access (FDMA) (both analog and digital) systems capacities are compared on the basis of identical link availabilities and physical propagation models. Parameters are optimized for a bandwidth limited, multibeam environment. For CDMA, the benefits of voice activated carriers, antenna discrimination, polarization reuse, return link power control and multipath suppression are included in the analysis. For FDMA, the advantages of bandwidth efficient modulation/coding combinations, voice activated carriers, polarization reuse, beam placement, and frequency staggering were taken into account
Discrete analogue computing with rotor-routers
Rotor-routing is a procedure for routing tokens through a network that can
implement certain kinds of computation. These computations are inherently
asynchronous (the order in which tokens are routed makes no difference) and
distributed (information is spread throughout the system). It is also possible
to efficiently check that a computation has been carried out correctly in less
time than the computation itself required, provided one has a certificate that
can itself be computed by the rotor-router network. Rotor-router networks can
be viewed as both discrete analogues of continuous linear systems and
deterministic analogues of stochastic processes.Comment: To appear in Chaos Special Focus Issue on Intrinsic and Designed
Computatio
Specialized Accreditation in Collegiate Aviation: A Case Study On Evaluative Inquiry Practices Required by the Aviation Accreditation Board International
Market changes within the aviation industry have increased the demand for aviation professionals worldwide (Christensen, 2013). The Aviation Accreditation Board International (AABI) represents the only specialized accrediting organization in the world for non-engineering collegiate aviation programs (Council for Higher Education Accreditation [CHEA], 2020), and their mission is to advance quality aviation education in partnership with industry (AABI, 2019b). In 2019, AABI expanded its continuous assessment criteria despite issuing citations previously to accredited collegiate aviation programs for non-compliance predominately with continuous assessment and improvement requirements (AABI, 2020). Program accreditation through AABI has demonstrated value to students (Bjerke et al., 2016; Christensen, 2013; Prather, 2007; Radigan, 2011; Smith et al., 2017); however, contextual variables may influence the efficacy and sustainability of continuous assessment (Elliott & Goh, 2013; Staub, 2019). Using a social constructivist theoretical framework, the purpose of this study was to investigate the value of continuous assessment and improvement practices, specifically AABI Criterion 3.10, as perceived by collegiate aviation administrators and faculty at AABI-accredited collegiate aviation programs. Four programs, based on size and experience with AABI accreditation, were chosen. Interviews, supporting accreditation documents, and online data were analyzed concurrently with data collection. The findings suggested that most participating programs remained non-compliant with AABI Criterion 3.10; therefore, programs did not satisfy existing assessment requirements and were not in compliance with the newly revised criterion. Participants believed that faculty experience and workload most influenced assessment practices. They assigned the value of assessment to increased industry involvement and environmental adaptability. Overall, organizational improvements in response to continuous assessment activities generated expanded social interactions among stakeholders during unprecedented academic and industry conditions
Asteraceae
Senior Project submitted to The Division of Languages and Literature of Bard College
Energy Storage for Power Systems with Rapidly Changing Loads
In areas with rapidly changing loads of large magnitude, utility companies often experience large deviations in frequency and area control error. Inadvertent tie-line power flow also occurs. The purpose of this research is to examine the effects a large scale energy storage device has on the system response to a rapidly changing load. Two control areas connected by a tie-line are modelled and simulations are performed to determine the response to a step change in load and also to a five-stand rolling mill load. For each type of load, three cases are studied: no energy storage in the system, a superconducting magnetic energy storage device in the system, and a battery energy storage device in the system. Each case is analyzed and the improvements in system operation for each of the energy storage devices is discussed
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