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19952026
most citedA Survey on Metaverse: Fundamentals, Security, and Privacy

1.3k citations

Showing 2012Show all

7 papers · 1 filter

math.FA2012★ 1 cited

Involutions and Trivolutions in Algebras Related to Second Duals of Group Algebras

M. Filali, M. Sangani Monfared, Ajit Iqbal Singh

We define a trivolution on a complex algebra as a non-zero conjugate-linear, anti-homomorphism on , which is a generalized inverse of itself, that is, . We give s…

math.OC2012★ 2 cited

A Remark on the Manhattan Distance Matrix of a Rectangular Grid

A. Y. Alfakih

Consider the Quadratic Assignment Problem (QAP): given two matrices A and D, minimize {trace AXDX^T: X is a permutation matrix}. New lower bounds were obtained recently (Mittelmann…

cond-mat.str-el2012★ 8 cited

Quantum manipulation via atomic-scale magnetoelectric effects

Anh. T. Ngo, J. Rodriguez-Laguna, S. E. Ulloa +1

Magnetoelectric effects at the atomic scale are demonstrated to afford unique functionality. This is shown explicitly for a quantum corral defined by a wall of magnetic atoms depos…

math.NA2012

An Amendment of Fast Subspace Tracking Methods

Zhu Cheng, Zhan Wang, Haitao Liu +1

Tuning stepsize between convergence rate and steady state error level or stability is a problem in some subspace tracking schemes. Methods in DPM and OJA class may show sparks in t…

math.KT2012

New Coefficients For Hopf Cyclic Cohomology

Mohammad Hassanzadeh

In this note the categories of coefficients for Hopf cyclic cohomology of comodule algebras and comodule coalgebras are extended. We show that these new categories have two proper…

math.MG2012

Universal rigidity of bar frameworks in general position: a Euclidean distance matrix approach

A. Y. Alfakih

A configuration p in r-dimensional Euclidean space is a finite collection of labeled points p^1,p^2,...,p^n in R^r that affinely span R^r. Each configuration p defines a Euclidean…