A solution of an equation for indexed functions
Petr Lachout (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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Petr Lachout (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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R.A. Doney, Jonathan Warren, Marc Yor (1998)
Séminaire de probabilités de Strasbourg
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Loïc Chaumont, David G. Hobson, Marc Yor (2001)
Séminaire de probabilités de Strasbourg
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Jean Picard (2010)
ESAIM: Probability and Statistics
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The density of real-valued Lévy processes is studied in small time under the assumption that the process has many small jumps. We prove that the real line can be divided into three subsets on which the density is smaller and smaller: the set of points that the process can reach with a finite number of jumps (Δ-accessible points); the set of points that the process can reach with an infinite number of jumps (asymptotically Δ-accessible points); and the set of points that the process...