On the small deviation problem for some iterated processes.
One sufficient condition for the unit multiplicity of a stochastic process.
Processus gaussiens, markoviens d'ordre p, fortement markoviens d'ordre p et problème de Dirichlet stochastique
Propriétés du spectre évolutif d'un processus non stationnaire
Quadratic variations and estimation of the local Hölder index of a gaussian process
Rademacher-Walsh functions and the spectral type of Hermite polynomial of a Wiener process
Random sequences with normal covariances
Representation and prediction for locally harmonizable isotropic random fields.
Second order stochastic processes and the dilation theory in Banach spaces
Signal extraction for a class of nonstationary processes.
Some exact rates in the functional law of the iterated logarithm
Some properties of fully submitted processes.
Spectral decomposition of locally stationary random processes
Spectral dilation of operator-valued measures and its application to infinite-dimensional harmonizable processes
Spectral type of some transformations of certain stochastic processes.
Strong law of large numbers under a general moment condition.
The multiplicity of stochastic processes
The Operators Aγ = γA + -γA for a Class of Nondissipative Operators A with a Limit of the Corresponding Correlation Function
2000 Mathematics Subject Classification: Primary 47A48, Secondary 60G12In this work we present the operators Aγ = γA + -γA with Re γ = 1/2 in the case of an operator A from the class of nondissipative operators generating nonselfadjoint curves, whose correlation functions have a limit as t → ±∞. The asympthotics of the stationary curves e^(itAγ)f as t → ±∞ onto the absolutely continuous subspace of Aγ are obtained. These asymptotics and the obtained asymptotics in [9] of the nondissipative curves...
The packing measure of the trajectory of a one-dimensional symmetric Cauchy process.
Triangular Models and Asymptotics of Continuous Curves with Bounded and Unbounded Semigroup Generators
2000 Mathematics Subject Classification: Primary 47A48, Secondary 60G12.In this paper classes of K^r -operators are considered – the classes of bounded and unbounded operators A with equal domains of A and A*, finite dimensional imaginary parts and presented as a coupling of a dissipative operator and an antidissipative one with real absolutely continuous spectra and the class of unbounded dissipative K^r -operators A with different domains of A and A* and with real absolutely continuous spectra....