• Bernoulli
  • Volume 13, Number 3 (2007), 849-867.

Sample path properties of the local time of multifractional Brownian motion

Brahim Boufoussi, Marco Dozzi, and Raby Guerbaz

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We establish estimates for the local and uniform moduli of continuity of the local time of multifractional Brownian motion, BH=(BH(t)(t), t∈ℝ+). An analogue of Chung’s law of the iterated logarithm is studied for BH and used to obtain the pointwise Hölder exponent of the local time. A kind of local asymptotic self-similarity is proved to be satisfied by the local time of BH.

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Bernoulli, Volume 13, Number 3 (2007), 849-867.

First available in Project Euclid: 7 August 2007

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Chung-type law of iterated logarithm local asymptotic self-similarity multifractional Brownian motion local times


Boufoussi, Brahim; Dozzi, Marco; Guerbaz, Raby. Sample path properties of the local time of multifractional Brownian motion. Bernoulli 13 (2007), no. 3, 849--867. doi:10.3150/07-BEJ6140.

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