Critical Brownian sheet does not have double points

Inicio | ¿Qué es? | Contacto

English | Català

Consultar RECERCAT

Por comunidades y
colecciones Por fecha Por autores Por títulos Por temas (CDU)

Consultar departamento

Por fecha Por autores Por títulos Por temas (CDU)

Estadisticas

Del documento Todo RECERCAT

Mi RECERCAT

Entrar Alertas por correo-e

Directorio de otros repositorios

RECERCAT Principal > Universitat Pompeu Fabra > Articles, congressos, llibres > Visualizar documento

Para acceder a los documentos con el texto completo, por favor, siga el siguiente enlace: http://hdl.handle.net/10230/34391

dc.contributor.author	Dalang, Robert C.
dc.contributor.author	Khoshnevisan, Davar
dc.contributor.author	Nualart, Eulàlia
dc.contributor.author	Wu, Dongsheng
dc.contributor.author	Xiao, Yimin
dc.date	2012
dc.identifier.citation	Dalang RC, Khoshnevisan D, Nualart E, Wu D, Xiao Y. Critical Brownian sheet does not have double points. Ann Probab. 2012;40(4): 1829-59. DOI: 10.1214/11-AOP665
dc.identifier.citation	0091-1798
dc.identifier.citation	http://dx.doi.org/10.1214/11-AOP665
dc.identifier.uri	http://hdl.handle.net/10230/34391
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	Institute of Mathematical Statistics (IMS)
dc.relation	The Annals of Probability. 2012;40(4): 1829-59.
dc.rights	© Institute of Mathematical Statistics, 2012
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Brownian sheet
dc.subject	Multiple points
dc.subject	Capacity
dc.subject	Hausdorff dimension
dc.title	Critical Brownian sheet does not have double points
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.abstract	We derive a decoupling formula for the Brownian sheet which has the following ready consequence: An N-parameter Brownian sheet in Rd has double points if and only if d<4N. In particular, in the critical case where d=4N, the Brownian sheet does not have double points. This answers an old problem in the folklore of the subject. We also discuss some of the geometric consequences of the mentioned decoupling, and establish a partial result concerning k-multiple points in the critical case k(d−2N)=d.
dc.description.abstract	Dalang RC is supported by grant from the Swiss National Science Foundation. Khoshnevisan D and Xiao Y are supported by grant from the US National Science Foundation.

Mostrar el registro sencillo del ítem

Documentos relacionados

Otros documentos del mismo autor/a

Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise

Dalang, Robert C.; Khoshnevisan, Davar; Nualart, Eulàlia

Potential theory for hyperbolic SPDEs

Dalang, Robert C.; Nualart, Eulàlia

Level sets of the stochastic wave equation driven by a symmetric Lévy noise

Khoshnevisan, Davar; Nualart, Eulàlia

The Landau equation for Maxwellian molecules and the Brownian motion on SON(R)

Delarue, François; Menozzi, Stéphane; Nualart, Eulàlia

Level sets of multiparameter Brownian motions

Nualart, Eulàlia; Mountford, Thomas S.

Accesibilidad | Aviso legal | Política de Cookies | Documentos de uso interno

Coordinación

Patrocinio