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Classifying photonic topology using the spectral localizer and numerical K-theory
APL PhotonicsRecently, the spectral localizer framework has emerged as an efficient approach for classifying topology in photonic systems featuring local nonlinearities and radiative environments. In nonlinear systems, this framework provides rigorous definitions for
Alexander Cerjan +2 more
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Proper spaces are spectral [PDF]
Applied General Topology, 2023 [EN] Since Hochster's work, spectral spaces have attracted increasing interest. Through this note we give a new self-contained and constructible topology-independent proof of the fact that the set of proper ideals of a ring endowed with coarse lower ...
Goswami, Amartya
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The Spectral Action and Cosmic Topology [PDF]
Communications in Mathematical Physics, 2011 The spectral action functional, considered as a model of gravity coupled to matter, provides, in its non-perturbative form, a slow-roll potential for inflation, whose form and corresponding slow-roll parameters can be sensitive to the underlying ...
Elena Pierpaoli +5 more
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Inverse topology in MV-algebras [PDF]
Mathematica Bohemica, 2019 summary:We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra $A$ and show that the set of all minimal prime ideals of $A$, namely ${\rm Min}(A)$, with the inverse topology is a compact space, Hausdorff, $T_{0}$-space ...
Bedrood, Mahta +2 more
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The upper Vietoris topology on the space of inverse-closed subsets of a spectral space and applications [PDF]
Rocky Mountain Journal of Mathematics, 2018 Given an arbitrary spectral space X, we consider the set X(X) of all nonempty subsets of X that are closed with respect to the inverse topology. We introduce a Zariski-like topology on X(X) and, after observing that it coincides the upper Vietoris ...
Carmelo A Finocchiaro +2 more
exaly +2 more sources
Weighted Spectral Distribution for Internet Topology Analysis: Theory and Applications
IEEE/ACM Transactions on Networking, 2010 Comparing graphs to determine the level of underlying structural similarity between them is a widely encountered problem in computer science. It is particularly relevant to the study of Internet topologies, such as the generation of synthetic topologies ...
Andrew W Moore +2 more
exaly +1 more source
On the Topology Characterization of Guifi.net [PDF]
, 2012 In this paper it is analyzed the topology of Guifi.net Wireless Community Network (WCN). WCN have emerged in recent years organized and deployed by the cooperation of its own customers.
Llorenc Cerda-Alabern +1 more
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Fractality in Cosmic Topology Models with Spectral Action Gravity
, 2021 We consider cosmological models based on the spectral action formulation of (modified) gravity. We analyze the coupled effects, in this model, of the presence of nontrivial cosmic topology and of fractality in the large scale structure of spacetime.
Guicardi, Pedro, Marcolli, Matilde
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, 1988 For many networks in nature, science and technology, it is possible to order the nodes so that most links are short-range, connecting near-neighbours, and relatively few long-range links, or shortcuts, are present.
Calvo, M.C. +62 more
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Discrete Group Actions and Spectral Geometry of Crossed Products [PDF]
, 2022 The (twisted) crossed product construction is fundamental in the theory of $C^*$-algebras and in noncommutative topology since it represents the operation of forming a quotient when this is a singular, badly-behaved space.
Rubin, Alessandro
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