Generalized stochastic processes
Generalized tempered stable processes
This work introduces the class of generalized tempered stable processes which encompass variations on tempered stable processes that have been introduced in the field, including "modified tempered stable processes", "layered stable processes", and "Lamperti stable processes". Short and long time behavior of GTS Lévy processes is characterized and the absolute continuity of GTS processes with respect to the underlying stable processes is established. Series representations of GTS Lévy processes are...
Generalized variational principles
Generalized versions of MV-algebraic central limit theorems
MV-algebras can be treated as non-commutative generalizations of boolean algebras. The probability theory of MV-algebras was developed as a generalization of the boolean algebraic probability theory. For both theories the notions of state and observable were introduced by abstracting the properties of the Kolmogorov's probability measure and the classical random variable. Similarly, as in the case of the classical Kolmogorov's probability, the notion of independence is considered. In the framework...
Generated fuzzy implications and fuzzy preference structures
The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet , which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.
Générateurs infinitésimaux des processus à accroissements semi-markoviens
Generating a random sink-free orientation in quadratic time.
Generating Dirichlet random vectors using a rejection property
Generating functions and the satisfiability threshold.
Generating random elements in finite groups.
Génération d'une famille de tribus par un processus croissant
Generation of one-sided random dynamical systems by stochastic differential equations.
Generation of -fields by step processes
Generators of Brownian motions on abstract Wiener spaces
We prove that Brownian motion on an abstract Wiener space B generates a locally equicontinuous semigroup on equipped with the -topology introduced by L. Le Cam. Hence we obtain a “Laplace operator” as its infinitesimal generator. Using this Laplacian, we discuss Poisson’s equation and heat equation, and study its properties, especially the difference from the Gross Laplacian.
Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities
It is shown that for a typical continuous learning system defined on a compact convex subset of ℝⁿ the Hausdorff dimension of its invariant measure is equal to zero.
Generic properties of iterated function systems with place dependent probabilities.
Generic properties of learning systems
It is shown that the set of learning systems having a singular stationary distribution is generic in the family of all systems satisfying the average contractivity condition.
Generic result for the existence of a free semi-group
Generic solvability for the 3-D Navier-Stokes equations with nonregular force.
Genericity in deterministic and stochastic differential equations