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A variety of probabilities concerning coalescing and annihilating systems on R are shown to be given by pfaffians of two particle probabilities. As an application, an exact asymptotic for the n-point ...
We study a certain cycle map defined on finite dimensional modules for the W-algebra with regular integral central character. Via comparison with the theory in postive characteristic, we show that thi...
We introduce a family of 3D combinatorial objects that we define as minimal 3D polyominoes inscribed in a rectanglar prism. These objects are connected sets of unitary cubic cells inscribed in a give...
Lowest weight modules, in particular, Verma modules over the N = 1, 2 super Schr¨odinger algebras in (1+1) dimensional spacetime are investigated. The reducibility of the Verma modules is analyzed v...
In this paper we obtain an algorithm towards solving the two-dimensional moment problem. This algorithm gives the necessary and sufficient conditions for the solvability of the moment problem. It is s...
Modeling of high order multivariate probability distribution is a difficult problem which occurs in many fields. Copula approach is a good choice for this purpose, but the curse of dimensionality stil...

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