AbstractWe prove some results regarding tight probability measures on real Frechet spaces and countable strict inductive limits of these spaces. These results are applied to Gaussian measures and to construct a Brownian motion on such spaces. We then prove the log log law of Strassen for this Brownian motion
Laws of large numbers, central limit theorems, and laws of the iterated logarithm are obtained for d...
The study of Gaussian measures on Banach spaces is of active interest both in pure and applied mathe...
International audienceThe study of Gaussian measures on Banach spaces is of active interest both in ...
AbstractThis paper contains the following three types of results: First, a 1-1 correspondence is est...
We characterize the tightness of a set of probability measures in a large class of Banach spaces inc...
AbstractLet CE=C([01],E) be the Banach space, with the supremum norm, of all continuous functions f ...
Exponential tightness plays a crucial role in large deviations; in fact this condition is often requ...
Algorithmic randomness is most often studied in the setting of the fair-coin measure on the Cantor s...
We give a brief exposition of logarithmic Sobolev Inequalities (LSIs) for probability measures on R̂...
Title: Some topics of topological measure theory with application in stochastic analysis Author: Pav...
Let {W(t): t >= 0} be [mu]-Brownian motion in a real separable Banach space B, and let aT be a nonde...
We prove a simple criterion of exponential tightness for sequences of Gaussian r.v.’s with values in...
In this book, the author gives a cohesive account of the theory of probability measures on complete ...
AbstractIn this paper, we study a version of the law of the logarithm in a Banach space setting. Som...
We study the supremum of 'the' standard isonormal linear process L on a subset of a real Hilbert spa...
Laws of large numbers, central limit theorems, and laws of the iterated logarithm are obtained for d...
The study of Gaussian measures on Banach spaces is of active interest both in pure and applied mathe...
International audienceThe study of Gaussian measures on Banach spaces is of active interest both in ...
AbstractThis paper contains the following three types of results: First, a 1-1 correspondence is est...
We characterize the tightness of a set of probability measures in a large class of Banach spaces inc...
AbstractLet CE=C([01],E) be the Banach space, with the supremum norm, of all continuous functions f ...
Exponential tightness plays a crucial role in large deviations; in fact this condition is often requ...
Algorithmic randomness is most often studied in the setting of the fair-coin measure on the Cantor s...
We give a brief exposition of logarithmic Sobolev Inequalities (LSIs) for probability measures on R̂...
Title: Some topics of topological measure theory with application in stochastic analysis Author: Pav...
Let {W(t): t >= 0} be [mu]-Brownian motion in a real separable Banach space B, and let aT be a nonde...
We prove a simple criterion of exponential tightness for sequences of Gaussian r.v.’s with values in...
In this book, the author gives a cohesive account of the theory of probability measures on complete ...
AbstractIn this paper, we study a version of the law of the logarithm in a Banach space setting. Som...
We study the supremum of 'the' standard isonormal linear process L on a subset of a real Hilbert spa...
Laws of large numbers, central limit theorems, and laws of the iterated logarithm are obtained for d...
The study of Gaussian measures on Banach spaces is of active interest both in pure and applied mathe...
International audienceThe study of Gaussian measures on Banach spaces is of active interest both in ...
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