Silva, J. L. da2020-09-182020-09-182015Silva, J. L. (2015, January). Local times for grey Brownian motion. In International Journal of Modern Physics: Conference Series (Vol. 36, p. 1560003).http://hdl.handle.net/10400.13/2888In this paper we study the grey Brownian motion, namely its representation and local time. First it is shown that grey Brownian motion may be represented in terms of a standard Brownian motion and then using a criterium of S. Berman, Trans. Amer. Math. Soc., 137, 277–299 (1969), we show that grey Brownian motion admits a λ-square integrable local time almost surely (λ denotes the Lebesgue measure). As a consequence we obtain the occupation formula and state possible generalizations of these results.engBrownian motionGrey Brownian motionLocal time.Faculdade de Ciências Exatas e da Engenhariajournal article10.1142/S2010194515600034