منابع مشابه
A Monotonic Convolution for Minkowski Sums
We present a monotonic convolution for planar regions A and B bounded by line and circular arc segments. The Minkowski sum equals the union of the cells with positive crossing numbers in the arrangement of the convolution, as is the case for the kinetic convolution. The monotonic crossing number is bounded by the kinetic crossing number, and also by the maximum number of intersecting pairs of m...
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Let M denote the space of Borel probability measures on R. For every t ≥ 0 we consider the transformation Bt : M → M defined by Bt(μ) = ( μ )⊎(1/(1+t)) , μ ∈ M, where ⊞ and ⊎ are the operations of free additive convolution and respectively of Boolean convolution on M, and where the convolution powers with respect to ⊞ and ⊎ are defined in the natural way. We show that Bs ◦ Bt = Bs+t, ∀ s, t ≥ 0...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2005
ISSN: 0019-2082
DOI: 10.1215/ijm/1258138229