Results 71 to 80 of about 3,092 (108)

Remarks on the fractional Brownian motion [PDF]

open access: yesarXiv, 2009
We study the fBm by use of convolution of the standard white noise with a certain distribution. This brings some simplifications and new results.
arxiv  

Density of imaginary multiplicative chaos via Malliavin calculus. [PDF]

open access: yesProbab Theory Relat Fields, 2022
Aru J, Jego A, Junnila J.
europepmc   +1 more source

The maximum of the Gaussian $1/f^α$-noise in the case $α<1$ [PDF]

open access: yesarXiv, 2010
We prove that the appropriately normalized maximum of the Gaussian $1/f^{\alpha}$-noise with $\alpha<1$ converges in distribution to the Gumbel double-exponential law.
arxiv  

Smoothness of Density for the Area Process of Fractional Brownian Motion [PDF]

open access: yesarXiv, 2010
We consider a process given by a two-dimensional fractional Brownian motion with Hurst parameter 1/3 < H < 1/2, along with an associated L\'evy area, and prove the smoothness of a density for this process with respect to Lebesgue measure.
arxiv  

Convergence in law to operator fractional Brownian motions [PDF]

open access: yesJournal of Theoretical Probability (2011), 2011
In this paper, we provide two approximations in law of operator fractional Brownian motions. One is constructed by Poisson processes, and the other generalizes a result of Taqqu (1975).
arxiv  

A Note on a Brunn-Minkowski Inequality for the Gaussian Measure [PDF]

open access: yesProc. Amer. Math. Soc. 141 (2013), no. 11, 4027-4030, 2012
We give the counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture.
arxiv  

The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications. [PDF]

open access: yesStoch Partial Differ Equ, 2022
Balan RM   +3 more
europepmc   +1 more source

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