Chains of spaces

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...

Semiflexible chains in confined spaces.

We develop an analytical method for studying the properties of a noninteracting wormlike chain (WLC) in confined geometries. The mean-field-like theory replaces the rigid constraints of confinement with average constraints, thus allowing us to develop a tractable method for treating a WLC wrapped on the surface of a sphere, and fully encapsulated within it. The efficacy of the theory is establi...

Blackwell Spaces and -Approximations of Markov Chains

Hyperstonian Spaces Associated with Markov Chains

where the elements in the column A are chosen so that in P + the row-sums are equal to unity, then we can envisage the denumerable Markov chain for which P + is the (strictly stochastic) matrix of one-step transition probabilities , and pfj (the (i, j)th component of the nth iterate of P) will be the probability thatf (starting in the ith. state) 'the system will avoid failure for the first n s...

Convergence rates of Markov chains on spaces of partitions ∗

We study the convergence rate to stationarity for a class of exchangeable partitionvalued Markov chains called cut-and-paste chains. The law governing the transitions of a cut-and-paste chain is determined by products of i.i.d. stochastic matrices, which describe the chain induced on the simplex by taking asymptotic frequencies. Using this representation, we establish upper bounds for the mixin...