6533b820fe1ef96bd1279b4b

RESEARCH PRODUCT

Set-valued Brownian motion

Valeria MarraffaDomenico CandeloroCoenraad C.a. LabuschagneAnna Rita Sambucini

subject

Pure mathematicsGeneral MathematicsBanach spaceStructure (category theory)Vector LatticesSpace (mathematics)01 natural sciencesSet (abstract data type)Radstrom embedding theoremMathematics::ProbabilityFOS: MathematicsMarginal distributions0101 mathematicsBrownian motionMathematicsgeneralized Hukuhara differenceApplied MathematicsProbability (math.PR)010102 general mathematicsRegular polygonBrownian motion · Rådström embedding theorem · Vector lattices · Marginal distributions · Generalized Hukuhara difference60J65 58C06 46A40Functional Analysis (math.FA)010101 applied mathematicsMathematics - Functional AnalysisBrownian motion Radstrom embedding theorem Vector Lattices Marginal distributions generalized Hukuhara differenceEmbeddingBrownian motionMarginal distributionMathematics - Probability

description

Brownian motions, martingales, and Wiener processes are introduced and studied for set valued functions taking values in the subfamily of compact convex subsets of arbitrary Banach space $X$. The present paper is an application of one the paper of the second author in which an embedding result is obtained which considers also the ordered structure of $ck(X)$ and f-algebras.

yearjournalcountryeditionlanguage
2015-09-22
10.1007/s11587-018-0372-1http://arxiv.org/abs/1509.06518