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An Algebraic Approach to Maliciously Secure Private Set Intersection
Private set intersection oblivious linear function evaluation multi-party
2017/11/10
Private set intersection is an important area of research and has been the focus of many works over the past decades. It describes the problem of finding an intersection between the input sets of at l...
In their seminal work on non-malleable cryptography, Dolev, Dwork and Naor, showed how to construct a non-malleable commitment with logarithmically-many "rounds"/"slots", the idea being that any adver...
An Algebraic Approach to the Control of Decentralized Systems
Decentralized Systems Algebraic
2015/6/19
Optimal decentralized controller design is notoriously difficult, but recent research has identified large subclasses of such problems that may be convexified and thus are amenable to solution via eff...
An Algebraic Approach for Decoding Spread Codes
Algebraic Approach Spread Codes Information Theory
2011/9/22
Abstract: We present a family of constant-dimension codes for random linear network coding called spread codes. This is a family of optimal codes with maximum minimum distance. A spread code is constr...
Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach
Quantum-to-Classical Correspondence Hubbard-Stratonovich Dynamical Systems
2011/3/2
We propose a Lie-algebraic duality approach to analyze non-equilibrium evolution of closed dynamical systems and thermodynamics of interacting quantum lattice models (formulated in terms of Hubbard-St...
A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
Lie algebraic Ricci flow invariant curvature conditions Harnack inequalities
2010/11/22
We consider a subset $S$ of the complex Lie algebra $\so(n,\C)$ and the cone $C(S)$ of curvature operators which are nonnegative on $S$. We show that $C(S)$ defines a Ricci flow invariant curvature co...
Model-Theoretic Investigations into Consequence Operation (Cn) in Quantum Logics. An Algebraic Approach.
abstract algebraic logic consequence operation
2008/4/15
In this paper, we present the fundamentals of the so-called algebraic approach to propositional quantum logics. We define the set of formulae describing quantum reality as a free algebra freely genera...
In the first of three articles, we review the philosophical foundations of an approach to quantum gravity based on a principle of representation-theoretic duality and a vaguely Kantian-Buddist perspec...
Fermi Resonances and Vibrational Spectrum of a Polyatomic
Molecule XY4: an Algebraic Approach
vibrational analysis algebraic method
2007/8/15
2005Vol.43No.5pp.891-894DOI:
Fermi Resonances and Vibrational Spectrum of a Polyatomic
Molecule XY4: an Algebraic Approach
WAN Ming-Fang,1 CHEN Jing-Hua,2 and HOU Xi-Wen3
...
Squeezed Number State Solutions of Generalized Two-Mode Harmonic
Oscillators Model: an Algebraic Approach
generalized harmonic oscillators squeezed number state algebraic
diagonalization method
2007/8/15
2004Vol.42No.5pp.681-688DOI:
Squeezed Number State Solutions of Generalized Two-Mode Harmonic
Oscillators Model: an Algebraic Approach
JIN Shuo,1,2,3 XIE Bing-Hao,4 ZHANG Hong-Bia...
Askey-Wilson polynomials: an affine Hecke algebraic approach
Askey-Wilson polynomials affine Hecke algebraic approach
2010/10/29
We study Askey-Wilson type polynomials using representation theory of the double affine Hecke algebra. In particular, we prove bi-orthogonality relations for non-symmetric and anti-symmetric Askey-Wi...
An Algebraic Approach to Mathematical Models of Scales（图）
group halfgroup harmony dodecaphony semitones temperament Landini Matteo da Perugia Dufay Schutz Louis Couperin
2010/4/22
Although mathematical models of the scale have always been
characteristic of Western music theory, in the last 200 years they have
not been very much improved (although some interesting properties...