An overall view of stochastics in Colombeau related algebras

dc.contributor.authorÇapar, U
dc.contributor.authorAktuglu, H
dc.date.accessioned2026-02-06T18:28:34Z
dc.date.issued2003
dc.departmentDoğu Akdeniz Üniversitesi
dc.description8th Silivri Workshop on Stochastic Analysis and Related Topics -- SEP 18-27, 2000 -- Eastern Mediterranean Univ, N Cyprus, Gazimagusa, TURKEY
dc.description.abstractStochastic analysis in Colombeau algebras was initiated by the works of Capar, Oberguggenberger and Russo in the early 1990s. The present communique is a comparative and critical account of the major research papers that have appeared so far in this particular field of study. It turns out that application of the nonlinear distribution theories of Colombeau and Rosinger to stochastic analysis provides new horizons in dealing with singular objects like nonlinear functions of white noise, Wiener functionals and nonlinear stochastic PDE, especially when the initial data is irregular or distributional.
dc.identifier.endpage90
dc.identifier.isbn3-7643-6998-1
dc.identifier.scopusqualityN/A
dc.identifier.startpage67
dc.identifier.urihttps://hdl.handle.net/11129/10995
dc.identifier.volume53
dc.identifier.wosWOS:000221796000003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherBirkhauser Verlag Ag
dc.relation.ispartofStochastic Analysis and Related Topics Viii
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectGeneralized-Functions
dc.subjectDistributions
dc.subjectCalculus
dc.titleAn overall view of stochastics in Colombeau related algebras
dc.typeConference Object

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