4,374 research outputs found

    The Career of Vernon Briggs, Jr.: A Liberal Economist’s Struggle to Reduce Immigration

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    [Excerpt] At the conclusion of Cornell’s spring semester in 2007, Briggs ended his 47 years of college teaching. As he retired, Cornell honored him with emeritus status. Since then, he has occasionally given public talks and written articles on the need for immigration reform. He says his work still draws motivation from a principle he left with his students at the end of the last lecture in each of his classes over his entire career: “The mode through which the impossible comes to pass is effort.” That quote from Justice Oliver Wendell Homes was passed on to Briggs by Michigan State University professor Charles Killingsworth. In his long, remarkable career, Briggs has honored Holmes, Killingsworth, and his profession by passing it on — in word and deed — to countless others

    A Data-driven Approach to Robust Control of Multivariable Systems by Convex Optimization

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    The frequency-domain data of a multivariable system in different operating points is used to design a robust controller with respect to the measurement noise and multimodel uncertainty. The controller is fully parametrized in terms of matrix polynomial functions and can be formulated as a centralized, decentralized or distributed controller. All standard performance specifications like H2H_2, H∞H_\infty and loop shaping are considered in a unified framework for continuous- and discrete-time systems. The control problem is formulated as a convex-concave optimization problem and then convexified by linearization of the concave part around an initial controller. The performance criterion converges monotonically to a local optimal solution in an iterative algorithm. The effectiveness of the method is compared with fixed-structure controllers using non-smooth optimization and with full-order optimal controllers via simulation examples. Finally, the experimental data of a gyroscope is used to design a data-driven controller that is successfully applied on the real system

    Space-Efficient Biconnected Components and Recognition of Outerplanar Graphs

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    We present space-efficient algorithms for computing cut vertices in a given graph with nn vertices and mm edges in linear time using O(n+min⁥{m,nlog⁥log⁥n})O(n+\min\{m,n\log \log n\}) bits. With the same time and using O(n+m)O(n+m) bits, we can compute the biconnected components of a graph. We use this result to show an algorithm for the recognition of (maximal) outerplanar graphs in O(nlog⁥log⁥n)O(n\log \log n) time using O(n)O(n) bits

    On Temporal Graph Exploration

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    A temporal graph is a graph in which the edge set can change from step to step. The temporal graph exploration problem TEXP is the problem of computing a foremost exploration schedule for a temporal graph, i.e., a temporal walk that starts at a given start node, visits all nodes of the graph, and has the smallest arrival time. In the first part of the paper, we consider only temporal graphs that are connected at each step. For such temporal graphs with nn nodes, we show that it is NP-hard to approximate TEXP with ratio O(n1−ϔ)O(n^{1-\epsilon}) for any Ï”>0\epsilon>0. We also provide an explicit construction of temporal graphs that require Θ(n2)\Theta(n^2) steps to be explored. We then consider TEXP under the assumption that the underlying graph (i.e. the graph that contains all edges that are present in the temporal graph in at least one step) belongs to a specific class of graphs. Among other results, we show that temporal graphs can be explored in O(n1.5k2log⁥n)O(n^{1.5} k^2 \log n) steps if the underlying graph has treewidth kk and in O(nlog⁥3n)O(n \log^3 n) steps if the underlying graph is a 2×n2\times n grid. In the second part of the paper, we replace the connectedness assumption by a weaker assumption and show that mm-edge temporal graphs with regularly present edges and with random edges can always be explored in O(m)O(m) steps and O(mlog⁥n)O(m \log n) steps with high probability, respectively. We finally show that the latter result can be used to obtain a distributed algorithm for the gossiping problem.Comment: This is an extended version of an ICALP 2015 pape

    Reach and speed of judgment propagation in the laboratory

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    In recent years, a large body of research has demonstrated that judgments and behaviors can propagate from person to person. Phenomena as diverse as political mobilization, health practices, altruism, and emotional states exhibit similar dynamics of social contagion. The precise mechanisms of judgment propagation are not well understood, however, because it is difficult to control for confounding factors such as homophily or dynamic network structures. We introduce a novel experimental design that renders possible the stringent study of judgment propagation. In this design, experimental chains of individuals can revise their initial judgment in a visual perception task after observing a predecessor's judgment. The positioning of a very good performer at the top of a chain created a performance gap, which triggered waves of judgment propagation down the chain. We evaluated the dynamics of judgment propagation experimentally. Despite strong social influence within pairs of individuals, the reach of judgment propagation across a chain rarely exceeded a social distance of three to four degrees of separation. Furthermore, computer simulations showed that the speed of judgment propagation decayed exponentially with the social distance from the source. We show that information distortion and the overweighting of other people's errors are two individual-level mechanisms hindering judgment propagation at the scale of the chain. Our results contribute to the understanding of social contagion processes, and our experimental method offers numerous new opportunities to study judgment propagation in the laboratory

    Stochastic Properties of Static Friction

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    The onset of frictional motion is mediated by rupture-like slip fronts, which nucleate locally and propagate eventually along the entire interface causing global sliding. The static friction coefficient is a macroscopic measure of the applied force at this particular instant when the frictional interface loses stability. However, experimental studies are known to present important scatter in the measurement of static friction; the origin of which remains unexplained. Here, we study the nucleation of local slip at interfaces with slip-weakening friction of random strength and analyze the resulting variability in the measured global strength. Using numerical simulations that solve the elastodynamic equations, we observe that multiple slip patches nucleate simultaneously, many of which are stable and grow only slowly, but one reaches a critical length and starts propagating dynamically. We show that a theoretical criterion based on a static equilibrium solution predicts quantitatively well the onset of frictional sliding. We develop a Monte-Carlo model by adapting the theoretical criterion and pre-computing modal convolution terms, which enables us to run efficiently a large number of samples and to study variability in global strength distribution caused by the stochastic properties of local frictional strength. The results demonstrate that an increasing spatial correlation length on the interface, representing geometric imperfections and roughness, causes lower global static friction. Conversely, smaller correlation length increases the macroscopic strength while its variability decreases. We further show that randomness in local friction properties is insufficient for the existence of systematic precursory slip events. Random or systematic non-uniformity in the driving force, such as potential energy or stress drop, is required for arrested slip fronts. Our model and observations..
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