Publications related to Topological vector space

Simultaneous unwrapping and low pass filtering of continuous phase maps based on autoregressive phase model and wrapped Kalman filtering

Pramod Rastogi, Rishikesh Dilip Kulkarni

We propose a simultaneous noise filtering and phase unwrapping algorithm. Spatial evolution of phase is modeled as an autoregressive Gaussian Markov random field. Accordingly, phase value at a pixel is related to phase values at surrounding pixels in a pro ...

2020

Robust Fano resonance in a topological mechanical beam

Romain Christophe Rémy Fleury, Wei Wang

The advances in topological condensed matter physics enable the manipulation of classic waves in different ways, such as unidirectional propagation featuring the suppression of backscattering and the robustness against impurities and disorder, making it po ...

2020

Topological Fermi-arc surface resonances in bcc iron

Oleg Yazyev, Daniel Gosalbez Martinez, Gabriel Albert Autes

The topological classification of matter has been extended to include semimetallic phases characterized by the presence of topologically protected band degeneracies. In Weyl semimetals, the foundational gapless topological phase, chiral degeneracies are is ...

AMER PHYSICAL SOC2020

Hermitian formulation of multiple scattering induced topological phases in metamaterial crystals

Romain Christophe Rémy Fleury, Nadège Sihame Kaïna

In this article we develop an analog to the SSH model in tight-binding chains of resonators and an innovative Hermitian matrix formulation to describe the topological phases induced by multiple scattering at subwavelength scales in one-dimensional structur ...

2020

Decompositions of dependence for high-dimensional extremes

Emeric Rolland Georges Thibaud

We propose two decompositions that help to summarize and describe high-dimensional tail dependence within the framework of regular variation. We use a transformation to define a vector space on the positive orthant and show that transformed-linear operatio ...

OXFORD UNIV PRESS2019

Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters

Michaël Unser, Julien René Pierre Fageot, John Paul Ward

A convolution algebra is a topological vector space X that is closed under the convolution operation. It is said to be inverse-closed if each element of X whose spectrum is bounded away from zero has a convolution inverse that is also part of the algebra. ...

SPRINGER BIRKHAUSER2019

Acoustic Topological Fano Resonances

Romain Christophe Rémy Fleury, Farzad Zangeneh Nejad

Originally discovered in the context of quantum mechanics in 1961, the ultra-sharp spectrum of the Fano resonance has nowadays established itself as centerpiece in modern engineering for realizing a large variety of prominent devices including low energy s ...

2019

A finite element framework based on bivariate simplex splines on triangle configurations

Xiaodong Wei, Juan Cao

Recently, triangle configuration based bivariate simplex splines (referred to as TCB-spline) have been introduced to the geometric computing community. TCB-splines retain many attractive theoretic properties of classical B-splines, such as partition of uni ...

ELSEVIER SCIENCE SA2019

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Topological vector space

Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves

Oxidation States, Thouless' Pumps, and Nontrivial Ionic Transport in Nonstoichiometric Electrolytes

Simultaneous unwrapping and low pass filtering of continuous phase maps based on autoregressive phase model and wrapped Kalman filtering

Robust Fano resonance in a topological mechanical beam

Topological Fermi-arc surface resonances in bcc iron

Hermitian formulation of multiple scattering induced topological phases in metamaterial crystals

Decompositions of dependence for high-dimensional extremes

Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters

Acoustic Topological Fano Resonances

A finite element framework based on bivariate simplex splines on triangle configurations

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Hermitian formulation of multiple scattering induced topological phases in metamaterial crystals

Acoustic Topological Fano Resonances

Oxidation States, Thouless' Pumps, and Nontrivial Ionic Transport in Nonstoichiometric Electrolytes

Topological Fermi-arc surface resonances in bcc iron

Robust Fano resonance in a topological mechanical beam

Decompositions of dependence for high-dimensional extremes

Simultaneous unwrapping and low pass filtering of continuous phase maps based on autoregressive phase model and wrapped Kalman filtering

Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves

Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters

A finite element framework based on bivariate simplex splines on triangle configurations