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Special points of the Brownian net
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SYSNO ASEP 0327329 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Special points of the Brownian net Title Speciální body Brownovy sítě Author(s) Schertzer, E. (US)
Sun, R. (SG)
Swart, Jan M. (UTIA-B) RID, ORCIDSource Title Electronic Journal of Probability. - : Institute of Mathematical Statistics - ISSN 1083-6489
Roč. 14, No. 30 (2009), s. 805-864Number of pages 60 s. Publication form www - www Language eng - English Country US - United States Keywords Brownian net ; Brownian web ; branching-coalescing point set Subject RIV BC - Control Systems Theory R&D Projects GA201/07/0237 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000266704200001 Annotation The Brownian net, which has recently been introduced by Sun and Swart [16], and independently by Newman, Ravishankar and Schertzer [13], generalizes the Brownian web by allowing branching. In this paper, we study the structure of the Brownian net in more detail. In particular, we give an almost sure classification of each point in R2 according to the configuration of the Brownian net paths entering and leaving the point. Along the way, we establish various other structural properties of the Brownian net. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2010
Number of the records: 1