Two results on continuity and boundedness of stochastic convolutions

More- over, some results of regularity in specific anisotropic H¨older spaces related to matrix E 0 have already be estab- lished for operator scaling self-similar random fields

A functional large deviations principle for quadratic forms of Gaussian stationary processes.. Toeplitz forms and

Key words: extreme value theory; partial maxima process; superextremal process; func- tional regular variations; weak convergence.. AMS

Sufficient conditions for the continuity of stationary gaussian processes and applications to random series of functions.. Annales de l’institut Fourier, tome 24, n o 2

The work of Ford, Kac and Mazur [1] suggests the existence of a quantum- mechanical analogue of the Ornstein-Uhlenbeck stochastic process [2]... If in addition

We also give some necessary conditions for the continuity of p-stable random Fourier integrals which extend results of Nisio and Salem-Zygmund for the case p =

(See [4], Theorem 5.3.) In the non-stationary case, a similar representation is again possible, but instead ofonlyrfW(0 it may involve a countable sum of stochastic integrals

Knight's statement (in the last few lines of the introduction of the preceding paper) that his basic Theorem 1.4 is "almost" true for non- Gaussian processes.. We are going