We derive the limit shape of Young diagrams, associated with growing integer partitions, with respect to multiplicative probability measures underpinned by the generating functions of the form F(z) = ∞l=1F0(zl) (which entails equal weighting among possible parts l ∈ N). Under mild technical assumptions on the function H0(u) = ln(F0(u)), we show that the limit shape ω∗(x) exists and is given by ...

In non-invasive thermal diagnostics for the location of a tumor, accurate correlations between the thermal image on skin surface and interior human physiology are often desired, which require general solutions for the bioheat equation. In this paper we use sensitivity analysis in order to compute the shape derivative of the funtional that provides the minimum (the geometrical position of the tu...

In some sense, the world is composed of shapes and words, of continuous things and discrete things. The recognition and study of continuous objects in the form of shapes occupies a significant part of the effort of unraveling many geometric questions. Shapes can be represented with great generality by objects called currents. While the enormous variety and representational power of currents is ...

We propose a new family of risk measures, called GlueVaR, within the class of distortion risk measures. Analytical closed-form expressions are shown for the most frequently used distribution functions in financial and insurance applications. The relationship between GlueVaR, value-at-risk, and tail value-at-risk is explained. Tail subadditivity is investigated and it is shown that some GlueVaR ...

This paper describes a texture based shape connection method for reconstructing parts of an object shape into its entire 3-D shape. This method employs a stereo camera to obtain the parts of an object. First, this method finds overlaps between the parts, obtained from a number of different viewpoints, using texture. Then, the method uses the results for estimating the relative position-and-orie...

In this paper, an open problem in the multidimensional complex analysis is presented that arises in the investigation of the regularity properties of Fourier integral operators and in the regularity theory for hyperbolic partial differential equations. The problem is discussed in a self-contained elementary way and some results towards its resolution are presented. A conjecture concerning the s...

This paper generalizes the results of the paper [FF3] to the case of the general sl 2 Shubert varieties. We study the homomorphisms between different Shubert varieties, describe their geometry and the group of the line bundles. We also derive some consequences concerning the infinite-dimensional generalized affine grassmanians.