Trajectorial Fluctuations Of Cox Systems Of Independent Motions
Tomasz Bojdecki and
Luis G. Gorostiza Additional contact information Tomasz Bojdecki: University of Warsaw, Poland
Luis G. Gorostiza: Centro de Investigacion y de Estudios Avanzados, Mexico
Abstract:
We obtain high-density fluctuation limits for trajectories of the motions in Cox systems of independent motions in "Rd". The motions are quite general; they include a large class of diffusions, Brownmian bridges and fractional Brownian motions. The limits take values ina space of distributions on Wiener space and in general are non-Gaussian.