Add to ORKGIn this work, which was inspired by the article [2] by M. V. Velasco and A. R. Villena, we obtain a characterization for probably continuous operators and show that the probability of a linear random operator being continuous coincides with the probability of having a closed graph. Furthermore, we laid the foundations to start a new branch of mathematics, namely, Random Analysis.Comment: 13 p\'agina
The paper investigates analytical properties of dynamic probabilistic constraints (chance constraint...
The main questions concerning random operator equations are essentially the same as those of determi...
AbstractThis paper presents two complementary but equivalent semantics for a high level probabilisti...
AbstractThe central purpose of this paper is to prove the following theorem: let (Ω, σ, u) be a comp...
AbstractA product formula for linear operators is used to get a central limit theorem for products o...
AbstractResults regarding the existence of random fixed points of a nonexpansive random operator def...
AbstractWe investigate notions of algorithmic randomness in the space C(2N) of continuous functions ...
AbstractRepresentation theorems for some new classes of random linear functionals and an application...
AbstractThe paper presents new random fixed point results for pseudo-contractive random operators
International audienceConsider an nxn random matrix X with i.i.d. nonnegative entries with bounded d...
AbstractWe consider random processes more general than those considered by Erdös and Rényi for gener...
We apply coupling techniques in order to prove that the transfer operators associated with random to...
AbstractIt is shown that every full eA decomposable probability measure on Rk, where A is a linear o...
summary:We prove a polynomial growth estimate for random fields satisfying the Kolmogorov continuity...
We provide a strong law of large numbers for random monotone operators. The expectation of a random ...
The paper investigates analytical properties of dynamic probabilistic constraints (chance constraint...
The main questions concerning random operator equations are essentially the same as those of determi...
AbstractThis paper presents two complementary but equivalent semantics for a high level probabilisti...
AbstractThe central purpose of this paper is to prove the following theorem: let (Ω, σ, u) be a comp...
AbstractA product formula for linear operators is used to get a central limit theorem for products o...
AbstractResults regarding the existence of random fixed points of a nonexpansive random operator def...
AbstractWe investigate notions of algorithmic randomness in the space C(2N) of continuous functions ...
AbstractRepresentation theorems for some new classes of random linear functionals and an application...
AbstractThe paper presents new random fixed point results for pseudo-contractive random operators
International audienceConsider an nxn random matrix X with i.i.d. nonnegative entries with bounded d...
AbstractWe consider random processes more general than those considered by Erdös and Rényi for gener...
We apply coupling techniques in order to prove that the transfer operators associated with random to...
AbstractIt is shown that every full eA decomposable probability measure on Rk, where A is a linear o...
summary:We prove a polynomial growth estimate for random fields satisfying the Kolmogorov continuity...
We provide a strong law of large numbers for random monotone operators. The expectation of a random ...
The paper investigates analytical properties of dynamic probabilistic constraints (chance constraint...
The main questions concerning random operator equations are essentially the same as those of determi...
AbstractThis paper presents two complementary but equivalent semantics for a high level probabilisti...