This paper addresses extensions of the complex Ornstein-Uhlenbeck semigroup to operator algebras in free probability theory. If a1, . . . , ak are ∗-free R-diagonal operators in a II1 factor, then Dt(ai1 · · · ain) = e −ntai1 · · · ain defines a dilation semigroup on the non-self-adjoint operator algebra generated by a1, . . . , ak. We show that Dt extends (in two different ways) to a semigroup...

The original purpose of this note was to display a model structure for the category sSet of bisimplicial sets whose cofibrations are the monomorphisms and whose weak equivalences are the diagonal weak equivalences, and then show that it is cofibrantly generated in a very precise way. The project grew to include analogous model structures on categories of bisimplicial presheaves. These model str...

Let (Ω,A, μ) be a probability space with a bijective, bimeasurable and measure preserving transformation T . For a measurable function f on Ω, (f ◦ T )i is a (strictly) stationary process and reciprocally, any (strictly) stationary process can be represented in this way. We shall denote Uf = f ◦ T ; U is a unitary operator in L. The function f will be supposed to have a zero mean. (Fi)i∈Z, wher...

Let X be a smooth projective curve over C which admits a finite group G of automorphisms. Then G×G acts on the product surface Y = X ×X, and so for each subgroup H ≤ G×G, the quotient Z = H\Y is a normal algebraic surface. Here we shall restrict attention to the case that the subgroup H is the graph of a group automorphism α ∈ Aut(G) of G, i.e. H = ∆α = {(g, α(g)) : g ∈ G}; we propose to call t...

For simplicity, we adopt the following rules: i, j, m, n, k denote natural numbers, x denotes a set, K denotes a field, a, a1, a2 denote elements of K, D denotes a non empty set, d, d1, d2 denote elements of D, M , M1, M2 denote matrices over D, A, A1, A2, B1, B2 denote matrices over K, and f , g denote finite sequences of elements of N. One can prove the following propositions: (1) Let K be a ...

Abstract. We consider copulas with a given diagonal section and compute the explicit density of the unique optimal copula which maximizes the entropy. In this sense, this copula is the least informative among the copulas with a given diagonal section. We give an explicit criterion on the diagonal section for the existence of the optimal copula and give a closed formula for its entropy. We also ...

We analyze special class of bipartite states – so called Bell diagonal states. In particular we provide new examples of bound entangled Bell diagonal states and construct the class of entanglement witnesses diagonal in the magic basis.

introduction: it has been shown that joint click, an initial and common finding in internal derangement (id), respond to neither conservative treatment nor surgical intervention. this raises the question as to whether it must be treated in the absence of other pertinent signs and symptoms, so the aim of this study was to investigate and compare the mri findings of tmj in both normal subjects an...

abstract for seismic design, it is important to estimate the, maximum lateral displacement (inelastic displacement) of the structures due to earthquakes for several reasons. seismic design provisions estimate the maximum roof and storey drifts occurring in major earthquakes by amplifying the roof displacement and drifts of the structures obtained by elastic analysis subjected to seismic design ...

Characterizations are given of the optimal scaiings of a complex square matrix within its diagonal similarity class and its restricted diagonal equivalence class with respect to the maximum element norm. The characterizations are in terms of a finite number of products, principally circuit and diagonal products. The proofs proceed by reducing the optimal scaling problems from the multiplicative...