Absolute continuity of some semi-selfdecomposable distributions and self-similar measures

DOI10.1007/S004400000059zbMath0985.60012MaRDI QIDQ1579893

Toshiro Watanabe

Publication date: 27 February 2002

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

convolution semigroupabsolute continuityself-similar measureinfinite convolution productcontinuous singularitydiscrete Lévy measuresemi-selfdecomposable distributions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Fractals (28A80) Markov processes (60J99)

Related Items (5)

Exact Hausdorff measure on the boundary of a Galton-Watson tree ⋮ Selfdecomposability and semi-selfdecomposability in subordination of cone-parameter convolution semigroups ⋮ On distributional properties of perpetuities ⋮ Asymptotic properties of Fourier transforms of \(b\)-decomposable distributions ⋮ Continuity properties and infinite divisibility of stationary distributions of some generalized Ornstein-Uhlenbeck processes

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