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Asymptotic fluctuations of a particle system with singular interaction
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics.
2001 (English)In: STOCHASTIC PROCESSES AND THEIR APPLICATIONS, ISSN 0304-4149, Vol. 93, no 1, 25-56 p.Article in journal (Refereed) Published
Abstract [en]

A particle system on the real line with singular interaction consisting of electrostatic repulsion and a linear restoring force is considered. The empirical measure process is known to converge weakly in a space of continuous-measure-valued functions. In

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV , 2001. Vol. 93, no 1, 25-56 p.
Keyword [en]
singular interaction; Wigner semicircle law; fluctuation limit; distribution valued process; EIGENVALUES; TIGHTNESS
URN: urn:nbn:se:uu:diva-36596OAI: oai:DiVA.org:uu-36596DiVA: diva2:64495
Addresses: Israelsson S, Uppsala Univ, Dept Math, Box 480, S-75196 Uppsala, Sweden. Uppsala Univ, Dept Math, S-75196 Uppsala, Sweden.Available from: 2008-10-17 Created: 2008-10-17 Last updated: 2011-01-13

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