558 research outputs found

    LIPIcs, Volume 251, ITCS 2023, Complete Volume

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    LIPIcs, Volume 251, ITCS 2023, Complete Volum

    Development, Implementation, and Optimization of a Modern, Subsonic/Supersonic Panel Method

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    In the early stages of aircraft design, engineers consider many different design concepts, examining the trade-offs between different component arrangements and sizes, thrust and power requirements, etc. Because so many different designs are considered, it is best in the early stages of design to use simulation tools that are fast; accuracy is secondary. A common simulation tool for early design and analysis is the panel method. Panel methods were first developed in the 1950s and 1960s with the advent of modern computers. Despite being reasonably accurate and very fast, their development was abandoned in the late 1980s in favor of more complex and accurate simulation methods. The panel methods developed in the 1980s are still in use by aircraft designers today because of their accuracy and speed. However, they are cumbersome to use and limited in applicability. The purpose of this work is to reexamine panel methods in a modern context. In particular, this work focuses on the application of panel methods to supersonic aircraft (a supersonic aircraft is one that flies faster than the speed of sound). Various aspects of the panel method, including the distributions of the unknown flow variables on the surface of the aircraft and efficiently solving for these unknowns, are discussed. Trade-offs between alternative formulations are examined and recommendations given. This work also serves to bring together, clarify, and condense much of the literature previously published regarding panel methods so as to assist future developers of panel methods

    Taxing consumption in unequal economies

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    El presente trabajo muestra que los impuestos lineales sobre el consumo son una herramienta potente para lograr una redistribución eficiente. Este es el resultado que se obtiene en un modelo cuantitativo de ciclo de vida que replica la distribución de la renta y de la riqueza en Estados Unidos. Una política óptima exige recaudar todos los ingresos fiscales a través del consumo y llevar a cabo la redistribución mediante una escala de tipos muy progresivos del impuesto sobre la renta. Las rentas de capital y la riqueza deberían estar exentas de tributación. Esta política reduce la desigualdad y aumenta la productividad, además de aportar grandes ganancias de bienestar en comparación con el statu quo. Alrededor de dos tercios de estas ganancias se deben a la redistribución. Por último, la reforma propuesta en este trabajo también mejora el bienestar a corto plazoThis paper shows that linear consumption taxes are a powerful tool to implement efficient redistribution. We derive this result in a quantitative life-cycle model that reproduces the distribution of income and wealth in the United States. Optimal policy calls for raising all fiscal revenues from consumption, and providing redistribution via a highly progressive wage tax schedule. Capital income and wealth should not be taxed. This policy reduces inequality and increases productivity, and brings large welfare gains relative to the status quo. Around two-thirds of these gains are due to redistribution. Finally, our reform is also welfare improving in the short-run

    Beam scanning by liquid-crystal biasing in a modified SIW structure

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    A fixed-frequency beam-scanning 1D antenna based on Liquid Crystals (LCs) is designed for application in 2D scanning with lateral alignment. The 2D array environment imposes full decoupling of adjacent 1D antennas, which often conflicts with the LC requirement of DC biasing: the proposed design accommodates both. The LC medium is placed inside a Substrate Integrated Waveguide (SIW) modified to work as a Groove Gap Waveguide, with radiating slots etched on the upper broad wall, that radiates as a Leaky-Wave Antenna (LWA). This allows effective application of the DC bias voltage needed for tuning the LCs. At the same time, the RF field remains laterally confined, enabling the possibility to lay several antennas in parallel and achieve 2D beam scanning. The design is validated by simulation employing the actual properties of a commercial LC medium

    Exoteric effects at nanoscopic interfaces - Uncommon negative compressibility of nanoporous materials and unexpected cavitation at liquid/liquid interfaces

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    This PhD thesis is devoted to the investigation of some peculiar effects happening at nanoscopic interfaces between immiscible liquids or liquids and solids via molecular dynamics simulations. The study of the properties of interfaces at a nanoscopic scale is driven by the promise of many interesting technological applications, including: a novel technology for developing both eco-friendly energy storage devices in the form of mechanical batteries, as well as energy dissipation systems and, in particular, shock absorbers for the automotive market; biomedical applications related to cavitation, such as High-Intensity Focused Ultrasound (HIFU) ablation of cancer tissues and localised drug delivery, and many more. The kinetics of phenomena taking places at these scales is typically determined by large free-energy barriers separating the initial and final states, and even intermediate metastable states, when they are present. Because of such barriers, the phenomena we are interested in are "rare events", i.e. the system attempts the crossing of the barrier(s) many times before finally succeeding when an energy fluctuation makes it possible. At the same time, the magnitude of the barrier is determined by the energetics and dynamics of atoms, which forces us to model the system by taking into account both the femtosecond atomistic timescale and the timescale of the relevant phenomena, typically exceeding the former by several orders of magnitude. These longer timescales are inaccessible to standard molecular dynamics, so, in order to tackle this issue, advanced MD techniques need to be employed. The thesis is divided into two parts, corresponding to the main lines of research investigated, which are (I) the interfaces between water and complex nanoporous solids, and (II) planar solid-liquid and liquid-liquid interfaces. Anticipating some results, atomistic simulations helped uncovering the microscopic mechanism behind the (incredibly rare!) giant negative compressibility exhibited by the ZIF-8 metal organic framework (MOF) upon water intrusion. Molecular dynamics simulations also supported experimental results showing how it is possible to change the intermediate intrusion-extrusion performance of ZIF-8 by changing its grain morphology and arrangement, from a fine powder to compact monolith. Free-energy MD calculations allowed to explain the exceptional stability of surface nanobubbles in water, at undersaturated conditions, on a surprisingly wide variety of substrates, characterized by disparate hydrophobicities and gas affinities; and yet, how they catastrophically destabilize in organic solvents. Finally, through simulations, some light was shed upon the working mechanism behind the novelly discovered phenomenon of how the interface between two immiscible liquids can act as a nucleation site for cavitation

    (b2023 to 2014) The UNBELIEVABLE similarities between the ideas of some people (2006-2016) and my ideas (2002-2008) in physics (quantum mechanics, cosmology), cognitive neuroscience, philosophy of mind, and philosophy (this manuscript would require a REVOLUTION in international academy environment!)

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    (b2023 to 2014) The UNBELIEVABLE similarities between the ideas of some people (2006-2016) and my ideas (2002-2008) in physics (quantum mechanics, cosmology), cognitive neuroscience, philosophy of mind, and philosophy (this manuscript would require a REVOLUTION in international academy environment!

    Computation and Physics in Algebraic Geometry

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    Physics provides new, tantalizing problems that we solve by developing and implementing innovative and effective geometric tools in nonlinear algebra. The techniques we employ also rely on numerical and symbolic computations performed with computer algebra. First, we study solutions to the Kadomtsev-Petviashvili equation that arise from singular curves. The Kadomtsev-Petviashvili equation is a partial differential equation describing nonlinear wave motion whose solutions can be built from an algebraic curve. Such a surprising connection established by Krichever and Shiota also led to an entirely new point of view on a classical problem in algebraic geometry known as the Schottky problem. To explore the connection with curves with at worst nodal singularities, we define the Hirota variety, which parameterizes KP solutions arising from such curves. Studying the geometry of the Hirota variety provides a new approach to the Schottky problem. We investigate it for irreducible rational nodal curves, giving a partial solution to the weak Schottky problem in this case. Second, we formulate questions from scattering amplitudes in a broader context using very affine varieties and D-module theory. The interplay between geometry and combinatorics in particle physics indeed suggests an underlying, coherent mathematical structure behind the study of particle interactions. In this thesis, we gain a better understanding of mathematical objects, such as moduli spaces of point configurations and generalized Euler integrals, for which particle physics provides concrete, non-trivial examples, and we prove some conjectures stated in the physics literature. Finally, we study linear spaces of symmetric matrices, addressing questions motivated by algebraic statistics, optimization, and enumerative geometry. This includes giving explicit formulas for the maximum likelihood degree and studying tangency problems for quadric surfaces in projective space from the point of view of real algebraic geometry

    LIPIcs, Volume 261, ICALP 2023, Complete Volume

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    LIPIcs, Volume 261, ICALP 2023, Complete Volum

    Essays on monetary policy

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    This is a summary of the four chapters that comprise this D.Phil. thesis.1 This thesis examines two major aspects of policy. The first two chapters examine monetary policy communication. The second two examine the causes and consequences of a time-varying reaction function of the central bank. 1. Central Bank Communication and Higher Moments In this first chapter, I investigate which parts of central bank communication affect the higher moments of expectations embedded in financial market pricing. Much of the literature on central bank communication has focused on how communication impacts the conditional expected mean of future policy. But this chapter asks how central bank communication affects the second and third moments of the financial market’s perceived distribution of future policy decisions. I use high frequency changes in option-prices around Bank of England communications to show that communication affects higher moments of the distribution of expectations. I find that the relevant communication in the case of the Bank of England is primarily confined to the information contained in the Q&A and Statement, rather than the longer Inflation Report. 2. Mark My Words: The Transmission of Central Bank Communication to the General Public via the Print Media In the second chapter, jointly with James Brookes, I ask how central banks can change their communication in order to receive greater newspaper coverage, if that is indeed an objective of theirs. We use computational linguistics combined with an event-study methodology to measure the extent of news coverage a central bank communication receives, and the textual features that might cause a communication to be more (or less) likely to be considered newsworthy. We consider the case of the Bank of England, and estimate the relationship between news coverage and central bank communication implied by our model. We find that the interaction between the state of the economy and the way in which the Bank of England writes its communication is important for determining news coverage. We provide concrete suggestions for ways in which central bank communication can increase its news coverage by improving readability in line with our results. 3. Uncertainty and Time-varying Monetary Policy In the third chapter, together with Michael McMahon, I investigate the links between uncertainty and the reaction function of the Federal Reserve. US macroeconomic evidence points to higher economic volatility being positively correlated with more aggressive monetary policy responses. This represents a challenge for “good policy” explanations of the Great Moderation which map a more aggressive monetary response to reduced volatility. While some models of monetary policy under uncertainty can match this comovement qualitatively, these models do not, on their own, account for the reaction-function changes quantitatively for reasonable changes in uncertainty. We present a number of alternative sources of uncertainty that we believe should be more prevalent in the literature on monetary policy. 4. The Element(s) of Surprise In the final chapter, together with Michael McMahon, I analyse the implications for monetary surprises of time-varying reaction functions. Monetary policy surprises are driven by several separate forces. We argue that many of the surprises in monetary policy instruments are driven by unexpected changes in the reaction function of policymakers. We show that these reaction function surprises are fundamentally different from monetary policy shocks in their effect on the economy, are likely endogenous to the state, and unable to removed using current orthogonalisation procedures. As a result monetary policy surprises should not be used to measure the effect of a monetary policy “shock” to the economy. We find evidence for reaction function surprises in the features of the high frequency asset price surprise data and in analysing the text of a major US economic forecaster. Further, we show that periods in which an estimated macro model suggests policymakers have switched reaction functions provide the majority of variation in monetary policy surprises
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