7,662 research outputs found

    Singularity of Nearcritical Percolation Exploration Paths

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    We show that the laws of scaling limits of nearcritical percolation exploration paths with different parameters are singular with respect to each other. This generalises a result of Nolin and Werner, using a similar technique. As a corollary, the singularity can even be detected from an infinitesimal initial segment. Moreover, nearcritical scaling limits of exploration paths are mutually singular under scaling maps.Comment: 23 pages, 7 figures; an expository section added and minor change

    Spontaneous Breaking of Rotational Symmetry with Arbitrary Defects and a Rigidity Estimate

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    The goal of this paper is twofold. First we prove a rigidity estimate, which generalises the theorem on geometric rigidity of Friesecke, James and M\"uller to 1-forms with non-vanishing exterior derivative. Second we use this estimate to prove a kind of spontaneous breaking of rotational symmetry for some models of crystals, which allow almost all kinds of defects, including unbounded defects as well as edge, screw and mixed dislocations, i.e. defects with Burgers vectors.Comment: 40 pages, 6 figures, minor change

    Is East Germany Catching Up? A Time Series Perspective

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    This paper assesses whether the economy of East Germany is catching up with the West German region in terms of welfare. While the primary measure for convergence and catching up is per capita output, we also look at other macroeconomic indicators such as unemployment rates, wage rates, and production levels in the manufacturingsector. In contrast to existing studies of convergence between regions of reunified Germany, our approach is purely based upon the time series dimension and is thus directly focused on the catching up process in East Germany as a region. Our testing setup includes standard ADF unit root tests as well as unit root tests that endogenously allow for a break in the deterministic component of the process. In our analysis, we find evidence of catching up for East Germany for most of the indicators. However, convergence speed is slow, and thus it can be expected that the catching up process will take further decades until the regional gap is closed.east germany, catching up, convergence, unit root tests

    The New Male Mystique

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    Examines the rise in men reporting work-family conflict, factors that put men at risk for conflict, and those that help reduce it, including supervisor support and workplace flexibility. Makes recommendations for workplace policies and public dialogue

    Assessing Strategic Risk

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    In recent decades, the concept of subjective probability has been increasingly applied to an adversary’s choices in strategic games. A careful examination reveals that the standard construction of subjective probabilities does not apply in this context. We show how the difficulty may be overcome by means of a different construction, and provide an axiomatic fondation for it.
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