Statistical properties of topological Collet–Eckmann maps
Statistics of return times for weighted maps of the interval
Stein's method and descents after riffle shuffles.
Stetige stochastische Approximation.
Stochastic foundations of the universal dielectric response
We present a probabilistic model of the microscopic scenario of dielectric relaxation. We prove a limit theorem for random sums of a special type that appear in the model. By means of the theorem, we show that the presented approach to relaxation phenomena leads to the well known Havriliak-Negami empirical dielectric response provided the physical quantities in the relaxation scheme have heavy-tailed distributions. The mathematical model, presented here in the context of dielectric relaxation, can...
Stochastic integral representation of the modulus of Brownian local time and a central limit theorem.
Sumas de productos de variables aleatorias independientes igualmente distribuidas (V.A.I.I.D.).
In this paper we get some results about the asymptotic behaviour of the sequenceΠn = 1 + X1 + X1X2 + X1X2X3 + ...where {Xn}n=1∞ are i.i.d. random variables. Strong limit laws, Central limit theorem and Iterated Logarithm law are obtained, after an analysis of the convergence of Πn. Rates of convergence are also given.
Sums of a Random Number of Random Variables and their Approximations with ν- Accompanying Infinitely Divisible Laws
* Research supported by NATO GRANT CRG 900 798 and by Humboldt Award for U.S. Scientists.In this paper a general theory of a random number of random variables is constructed. A description of all random variables ν admitting an analog of the Gaussian distribution under ν-summation, that is, the summation of a random number ν of random terms, is given. The v-infinitely divisible distributions are described for these ν-summations and finite estimates of the approximation of ν-sum distributions with...
Sums of extreme values of subordinated long-range dependent sequences: moving averages with finite variance.
S-unimodal Misiurewicz maps with flat critical points
We consider S-unimodal Misiurewicz maps T with a flat critical point c and show that they exhibit ergodic properties analogous to those of interval maps with indifferent fixed (or periodic) points. Specifically, there is a conservative ergodic absolutely continuous σ-finite invariant measure μ, exact up to finite rotations, and in the infinite measure case the system is pointwise dual ergodic with many uniform and Darling-Kac sets. Determining the order of return distributions to suitable reference...
Sur la convergence faible des systèmes dynamiques échantillonnés
Soit la rotation sur le cercle d’angle irrationnel , soit une marche aléatoire transiente sur . Soit et , nous étudions la convergence faible de la suite
Sur la convergence vers la loi de Poisson
Sur la norme de Fourier. IV.
Sur l'approximation des réduites
Sur le maximum d'un processus aléatoire.
Sur le théorème de Khintchine
Sur les vitesses de convergence en théorie des valeurs extrêmes.
Sur un Ensemble de lois de Probabilite Associees a la loi Normale
Sur un résultat de P. Revesz et un résultat de A. Renyi
Sur un type de convergence intermédiaire entre la convergence en loi et la convergence en probabilité