Quasi-everywhere properties of Brownian level sets and multiple points

Fast Sets and Points forFractional Brownian

In their classic paper, S. Orey and S.J. Taylor compute the Hausdorr dimension of the set of points at which the law of the iterated logarithm fails for Brownian motion. By introducing \fast sets", we describe a converse to this problem for fractional Brownian motion. Our result is in the form of a limit theorem. From this, we can deduce reenements to the aforementioned dimension result of Orey...

The level sets of iterated brownian motion

We show that the Hausdorff dimension of every level set of iterated Brownian motion is equal to 3/4. §

Fast Sets and Points for Fractional Brownian Motion

In their classic paper, S. Orey and S.J. Taylor compute the Hausdorff dimension of the set of points at which the law of the iterated logarithm fails for Brownian motion. By introducing “fast sets”, we describe a converse to this problem for fractional Brownian motion. Our result is in the form of a limit theorem. From this, we can deduce refinements to the aforementioned dimension result of Or...

Relations between Sets of Time Points and Quasi-linear Orderings

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...