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A UNIVERSAL ARONSZAJN LINE     UNIVERSAL  ARONSZAJN LINE       2015/8/17
The purpose of this note is to define an Aronszajn line ηC and prove that under the assumption of PFA it is universal for the class of Aronszajn lines. Moreover ηC can be easily described in terms of ...
The tropical vertex is an incarnation of mirror symmetry found by Gross, Pandharipande and Siebert. It can be applied to $m$-Kronecker quivers $K(m)$ (together with a result of Reineke) to compute th...
A d-dimensional framework is an embedding of the vertices and edges of a graph in Euclidean space. A d-dimensional framework is globally rigid if every other d-dimensional framework with the same edg...
There is an abundance of literature on complex networks describing a variety of relationships among units in social, biological, and technological systems. Such networks, consisting of interconnected ...
It was shown in my earlier article that the splice diagram of a rational homology sphere graph manifold determines the manifolds universal abelian cover. In this article we use the proof of this to g...
Deriving the time evolution of a distribution of probability (or a probability density matrix) is a problem encountered frequently in a variety of situations: for physical time, it could be a kinetic...
Let F be a separable uniformly bounded family of measurable functions on a standard measurable space (X,X), and let N[](F, ", μ) be the smallest number of "-brackets in L1(μ) needed to cover F.
We prove that the (d + 1)-lateration graph with n(≥ d + 1) points, when points are in general position in Rd, not only is universally rigid but also admits a rank (n−d−1) positive semi-def...
Universal theorem is an important theorem, in this paper, Figiel’s lemma that concerns the isometric embedding from a Banach space X into the continuous space C(L) are extended. That is a form of exte...
Computational models made up of linear combinations of ridge basis functions, widely used in machine learning and artificial intelligence, are considered. For such models, the literature on the so-cal...
Second order lower bounds for the entropy function expressed in terms of the index of coincidence are derived. Equivalently, these bounds involve entropy and Rényi entropy of order 2. The constants fo...

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