Title of article
Asymptotic fluctuations of a particle system with singular interaction
Author/Authors
Israelsson، نويسنده , , Stefan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
32
From page
25
To page
56
Abstract
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 this work we show that the fluctuations around the limiting process, appropriately scaled, converge weakly to a Gaussian-distribution-valued process.
Keywords
Singular interaction , Fluctuation limit , Distribution valued process , Wigner semicircle law
Journal title
Stochastic Processes and their Applications
Serial Year
2001
Journal title
Stochastic Processes and their Applications
Record number
1576805
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