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The spinor representation is developed and used to investigate minimal surfaces in R^3 with embedded planar ends. The moduli spaces of planar-ended minimal spheres and real projective planes are deter...
We modify the Hochschild -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a goup scheme that leads to a geometric construction of unrestricted rep...
We give a proof of a conjecture of Lehrer and Shoji regarding the occurrences of the exterior powers of the reflection representation in the cohomology of Springer fibers. The actual theorem proved is...
A novel representation of functions, called generalized Taylor form, is applied to the filtering of white noise processes. It is shown that every Gaussian colored noise can be expressed as the output ...
Recently, Serfling and Xiao (2007) extended the L-moment theory (Hosking, 1990) to the multivariate setting.
Unsupervised discovery of latent representations, in addition to being useful for density modeling, visualisation and exploratory data analysis, is also increasingly important for learning features re...
Representation theorem for multiply self-decomposable probability measures on generalized convolution algebra
It is shown that every random closed set X in Rd, taking its realizations in the extended convex ring, is (up to equivalence) the union set of a po'int process Y of convex particles with the same i...
We first study L6vy measures, Poisson and Gaussian convolution semigroups on commutative hypergroups. Then we present a Lbvy-Khintchine type representation of a convolution semigroup (pJ,,, with sy...
We study continuous additive functionals of zero quadratic variation of strong Markov continuous local martingales by means of stochastic calculus. We show that they admit a representation as a sto...
Let D be a nonempty open bounded subset of d 2 2, and let 0 < a c 2. For a-harmonic functions on D vanishing outside D an analogue of the Martin representation for harmonic functions is derived.

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