Rademacher series and decoupling.
Rademacher-Walsh functions and the spectral type of Hermite polynomial of a Wiener process
Radius and profile of random planar maps with faces of arbitrary degrees.
Radonification of cylindrical semimartingales on Hilbert spaces
Radon-Nikodym property
For a Banach space and a probability space , a new proof is given that a measure , with , has RN derivative with respect to iff there is a compact or a weakly compact such that is a finite valued countably additive measure. Here we define where is a finite disjoint collection of elements from , each contained in , and satisfies . Then the result is extended to the case when is a Frechet space.
Ramdom variables related to distributions of sums modulo an integer.
Random and deterministic perturbations of nonlinear oscillators.
Random approximations and random fixed point theorems.
Random coefficient differential models of growth of anaerobic photosynthetic bacteria.
Random coefficients bifurcating autoregressive processes
This paper presents a new model of asymmetric bifurcating autoregressive process with random coefficients. We couple this model with a Galton−Watson tree to take into account possibly missing observations. We propose least-squares estimators for the various parameters of the model and prove their consistency, with a convergence rate, and asymptotic normality. We use both the bifurcating Markov chain and martingale approaches and derive new results in both these frameworks.
Random differential inclusions: Measurable selection approach
Random differential inclusions with convex right hand sides
Abstract. The main result of the present paper deals with the existence of solutions of random functional-differential inclusions of the form ẋ(t, ω) ∈ G(t, ω, x(·, ω), ẋ(·, ω)) with G taking as its values nonempty compact and convex subsets of n-dimensional Euclidean space .
Random directed trees and forest -- drainage networks with dependence.
Random discrete distributions derived from self-similar random sets.
Random dynamics and its applications.
Random ergodic theorems for sub-Markovian operators
Random even graphs.
Random evolutions processes induced by discrete time Markov chains.
Random fields and random sampling
We study the limiting distribution of the maximum value of a stationary bivariate real random field satisfying suitable weak mixing conditions. In the first part, when the double dimensions of the random samples have a geometric growing pattern, a max-semistable distribution is obtained. In the second part, considering the random field sampled at double random times, a mixture distribution is established for the limiting distribution of the maximum.
Random fields on the adele ring and Wilson's renormalization group