On the cardinality of infinite symmetric groups [PDF]
Involve, a Journal of Mathematics, 2015 A new proof is given that the symmetric group of any set [math] with three or more elements, finite or infinite, has cardinality strictly greater than that of [math] . Use of the axiom of choice is avoided throughout.
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Integrability of large-charge sectors in generic 2D EFTs
Journal of High Energy PhysicsIt is shown that integrability is an accidental property of generic two-dimensional O(2)-symmetric asymptotically-free theories in the regime where the charge density is much larger than the dynamical scale. We show this by constructing an infinite tower
Matthew Dodelson +3 more
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Non-perturbative calculations of nuclear matter using in-medium similarity renormalization group
Physics Letters BThe non-perturbative ab initio calculations of infinite nuclear matter using In-Medium Similarity Renormalization Group (IMSRG) method is developed in this work, which enables calculations with chiral two- and three-nucleon forces at N2LO and N3LO ...
Xin Zhen +5 more
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Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions [PDF]
, 2021 Cesar Cuenca, Grigori Olshanski
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Conjectures on the normal covering number of finite symmetric and alternating groups [PDF]
International Journal of Group Theory, 2014 Let gamma(Sn) be the minimum number of proper subgroups Hi, i = 1,...,ell, of the symmetric group Sn such that each element in Sn lies in some conjugate of one of the Hi.
Daniela Bubboloni +2 more
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Generalization of Nambu–Hamilton Equation and Extension of Nambu–Poisson Bracket to Superspace
Universe, 2018 We propose a generalization of the Nambu–Hamilton equation in superspace R 3 | 2 with three real and two Grassmann coordinates. We construct the even degree vector field in the superspace R 3 | 2 by means of the right-hand sides
Viktor Abramov
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Weyl-Schrödinger representations of infinite-dimensional Heisenberg groups on symmetric Wiener spaces [PDF]
, 2017 Oleh Lopushansky
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The cofinality of the infinite symmetric group and groupwise density
Journal of Symbolic Logic, 2003 AbstractWe show that g ≤ c(Sym(ω)) where g is the groupwise density number and c(Sym(ω)) is the cofinality of the infinite symmetric group. This solves (the second half of) a problem addressed by Thomas.
Jörg Brendle, Maria Losada
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Analyticity of the entropy and the escape rate of random walks in hyperbolic groups
Discrete Analysis, 2017 Analyticity of the entropy and the escape rate of random walks in hyperbolic groups, Discrete Analysis 2017:7, 37pp. Let $\mu$ be a probability measure on an infinite finitely generated group $G$.
Sebastien Gouezel
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On different models of representations of the infinite symmetric group
Advances in Applied Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Natalia V. Tsilevich, Anatoly M. Vershik
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