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In this paper we study three self-similar, long-range dependence, Gaussianprocesses. The first one, with covariance  \int_0^{s\wedge t} u^a [(t-u)^b+(s-u)^b]du, parameters a>-1, -1<b\leq 1,|b|\leq 1+a, corresponds to fractional Brownian motion for a=0, -1<b<1. Thesecond one, with covariance (2-h)(s^h+t^h-[(s+t)^h +|s-t|^h]/2), parameter0<h\leq 4, corresponds to sub-fractional Brownian motion for 0<h<2. The thirdone, with covariance -(s^2\log s + t^2\log t -[(s+t)^2 \log (s+t) +(s-t)^2 \log|s-t|]/2), is related to the second one. These processes come from occupationtime fluctuations of certain particle systems for some values of theparameters.Comment: 11 pages; minor corrections and changes in notatio

Some Extensions of Fractional Brownian Motion and Sub-Fractional Brownian Motion Related to Particle Systems