Results 31 to 40 of about 12,508,597 (366)
Symmetric Busemann functions [PDF]
Pacific Journal of Mathematics, 2001 A result connecting symmetric spaces on one hand and symmetry of Busemann functions and the co-ray relation on the other is proved. This result is applied to hyperbolic and Minkowski geometries.
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Macdonald-positive specializations of the algebra of symmetric functions: Proof of the Kerov conjecture [PDF]
Annals of Mathematics, 2017 We prove the classification of homomorphisms from the algebra of symmetric functions to $\mathbb{R}$ with non-negative values on Macdonald symmetric functions $P_{\lambda}$, that was conjectured by S.V. Kerov in 1992.
Konstantin Matveev
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Noncommutative Symmetrical Functions
Advances in Mathematics, 1995 This paper presents a noncommutative theory of symmetric functions, based on the notion of quasi-determinant. We begin with a formal theory, corresponding to the case of symmetric functions in an infinite number of independent variables. This allows us to endow the resulting algebra with a Hopf structure, which leads to a new method for computing in ...
Gelfand, Israel M. +5 more
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0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra [PDF]
, 2013 We define an action of the 0-Hecke algebra of type A on the Stanley-Reisner ring of the Boolean algebra. By studying this action we obtain a family of multivariate noncommutative symmetric functions, which specialize to the noncommutative Hall-Littlewood
Huang, Jia
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SYMMETRIC REPRESENTATIONS OF HOLOMORPHIC FUNCTIONS
Проблемы анализа, 2018 In this article a class of symmetric functions is defined and used in some special representation of holomorphic functions. This representation plays an important role in transitions from concrete problems of projective description to equivalent problems
Shishkin A . V .
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IEEE Transactions on Information Theory, 2005 We present an extensive study of symmetric Boolean functions, especially of their cryptographic properties. Our main result establishes the link between the periodicity of the simplified value vector of a symmetric Boolean function and its degree.
Canteaut, Anne, Videau, Marion
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Spectral Norm of Symmetric Functions [PDF]
, 2012 The spectral norm of a Boolean function $f:\{0,1\}^n \to \{-1,1\}$ is the sum of the absolute values of its Fourier coefficients. This quantity provides useful upper and lower bounds on the complexity of a function in areas such as learning theory ...
Ada, Anil, Fawzi, Omar, Hatami, Hamed
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Quantum Product of Symmetric Functions
International Journal of Mathematics and Mathematical Sciences, 2015 We provide an explicit description of the quantum product of multisymmetric functions using the elementary multisymmetric functions introduced by Vaccarino.
Rafael Díaz, Eddy Pariguan
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Topology and its Applications, 2003 Several classes of generalized metric spaces \((X,\tau)\) were characterized by \(g\)-functions \(g:\mathbb N \times X \rightarrow \tau\) such that \(x\in g(n,x)\) for each \(x\in X\) and each \(n\in \mathbb N\). The authors of this paper study the role of symmetric \(g\)-functions, i.e., such \(g\)-functions which satisfy \(x\in g(n,y)\) if and only ...
Good, Chris +2 more
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Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type [PDF]
, 2011 We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type.
Desrosiers, Patrick, Hallnäs, Martin
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