Let X and Y be proper geodesic metric spaces and p∈X,p′∈Y. We say that Ω:∂MXp→∂MYp′ is Morse preserving if given N∈M there exists an N′∈M such that Ω injectively maps ∂NMXp→∂N′MYp′.

Let V⊆Bd be a nc variety. Recall that we let A(V) denote the algebra of all bounded analytic functions that extend to uniformly continuous functions on ¯¯¯¯¯V, in the sense that for every ϵ>0, there exists a δ>0, such that for every n∈N we have that…

In this section we present an argument showing that Theorem 4 which is stated here for a real Hilbert space indeed follows from [3, Theorem 4.3], which is shown to be true for a complex Hilbert space. The proof is based on a hand-written note which …

In this work, we introduced and analyzed online and approximate PI methods, generalized to the κ-greedy policy, an instance of a multiple-step greedy policy. Doing so, we discovered two intriguing properties compared to the well-studied 1-step greed…

This article was written while G. Lecué was visiting the Department of Mathematics, Technion, and the Centre for Mathematics and Its Applications, Australian National University. The authors thank both of these institutions for their hospitality. Th…

In this paper we proposed C-Share, a new approach for integrating OCS in DCN. We demonstrated how C-Share inherently supports circuit sharing that further separates mice and elephant flows leading to increased performance. We presented a scalable SD…