On a pair of random generalized non-linear contractions.
On nonperturbative localization with quasi-periodic potential.
On nonuniform dichotomy for stochastic skew-evolution semiflows in Hilbert spaces
In this paper we study a general concept of nonuniform exponential dichotomy in mean square for stochastic skew-evolution semiflows in Hilbert spaces. We obtain a variant for the stochastic case of some well-known results, of the deterministic case, due to R. Datko: Uniform asymptotic stability of evolutionary processes in a Banach space, SIAM J. Math. Anal., 3(1972), 428–445. Our approach is based on the extension of some techniques used in the deterministic case for the study of asymptotic behavior...
On random evolutions induced by countable state space Markov chains
On some regularity properties of quadratic stochastic processes.
On the continuity of random operators.
On the ergodic properties of the specrum of general random operators.
On the helix equation
This paper is devoted to the helices processes, i.e. the solutions H : ℝ × Ω → ℝd, (t, ω) ↦ H(t, ω) of the helix equation where Φ : ℝ × Ω → Ω, (t, ω) ↦ Φ(t, ω) is a dynamical system on a measurable space (Ω, ℱ).More precisely, we investigate dominated solutions and non differentiable solutions of the helix equation. For the last case, the Wiener helix plays a fundamental role. Moreover, some relations with the cocycle equation defined...
On the Kaczmarz algorithm of approximation in infinite-dimensional spaces
The Kaczmarz algorithm of successive projections suggests the following concept. A sequence of unit vectors in a Hilbert space is said to be effective if for each vector x in the space the sequence (xₙ) converges to x where (xₙ) is defined inductively: x₀ = 0 and , where . We prove the effectivity of some sequences in Hilbert spaces. We generalize the concept of effectivity to sequences of vectors in Banach spaces and we prove some results for this more general concept.
On the random version of Ważewski theorem
On the smallest eigenvalue of the Stokes operator in a domain with fine-grained random boundary.
On the stability of cubic mappings and quadratic mappings in random normed spaces.
On the stochastic regularity of sequence transformations operating in a Banach space
Optimal scheduling of material handling devices in a PCB production line: problem formulation and a polynomial algorithm.