Robust stabilization of nonlinear stochastic 2‐D systems: LaSalle‐type theorem approach
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5016
Abstract: LaSalle theorem (also known as the LaSalle invariance principle) plays an essential role in the systems and control theory. Recently, it has been extensively studied and developed for various types of one‐dimensional (1‐D) systems including… read more here.
Keywords: lasalle type; theorem; type theorem; stochastic systems ... See more keywords
Soft pion theorem, asymptotic symmetry and new memory effect
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DOI: 10.1007/jhep11(2017)203
Abstract: A bstractIt is known that soft photon and graviton theorems can be regarded as the Ward-Takahashi identities of asymptotic symmetries. In this paper, we consider soft theorem for pions, i.e., Nambu-Goldstone bosons associated with a… read more here.
Keywords: memory effect; pion theorem; soft pion; theorem ... See more keywords
A local Hahn–Banach theorem and its applications
Sign Up to like & getrecommendations! Published in 2019 at "Archiv der Mathematik"
DOI: 10.1007/s00013-018-1280-z
Abstract: An important consequence of the Hahn–Banach theorem says that on any locally convex Hausdorff topological space X, there are sufficiently many continuous linear functionals to separate points of X. In the paper, we establish a… read more here.
Keywords: hahn banach; banach; local hahn; banach theorem ... See more keywords
A factorisation theorem for the coinvariant algebra of a unitary reflection group
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DOI: 10.1007/s00013-020-01436-5
Abstract: We prove the following theorem. Let G be a finite group generated by unitary reflections in a complex Hermitian space $$V={\mathbb {C}}^\ell $$ V = C ℓ and let $$G'$$ G ′ be any reflection… read more here.
Keywords: group; theorem; theorem coinvariant; coinvariant algebra ... See more keywords
A Refinement of Peetre’s Theorem
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DOI: 10.1007/s00025-019-1125-5
Abstract: In this article, we will refine Peetre’s theorem on coordinate-free characterisation of partial differential operators by taking into account the order of distributions. We will introduce a new notion of anisotropic distributions and derive a… read more here.
Keywords: peetre theorem; refinement peetre; theorem;
The $$L^p$$Lp CR Hartogs separate analyticity theorem for convex domains
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-017-1894-z
Abstract: In this note, a very general theorem of the CR Hartogs type is proved for almost generic strictly convex domains in $$\mathbf{C}^{\mathbf{n}}$$Cn with real analytic boundary. Given such a domain D, and given an $$L^p$$Lp… read more here.
Keywords: separate analyticity; theorem; convex domains; hartogs separate ... See more keywords
Note on a theorem of Eliahou
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DOI: 10.1007/s00233-018-9923-8
Abstract: AbstractFrom a result (Wilf’s conjecture and Macaulay’s theorem, 2017, Theorem 5.11) of Eliahou on the growth of the Hilbert function of a standard graded algebra we derive an inequality related to a question in Wilf (Am… read more here.
Keywords: theorem eliahou; note theorem; theorem;
A local structure theorem for stable, $$\mathcal {J}$$J-simple semigroup biacts
Sign Up to like & getrecommendations! Published in 2018 at "Semigroup Forum"
DOI: 10.1007/s00233-018-9986-6
Abstract: We describe a class of semigroup biacts that is analogous to the class of completely simple semigroups, and prove a structure theorem for those biacts that is analogous to the Rees–Sushkevitch Theorem. Precisely, we describe… read more here.
Keywords: structure theorem; mathcal simple; theorem; semigroup biacts ... See more keywords
Szemerédi’s proof of Szemerédi’s theorem
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DOI: 10.1007/s10474-020-01081-y
Abstract: In 1975, Szemeredi famously established that any set of integers of positive upper density contained arbitrarily long arithmetic progressions. The proof was extremely intricate but elementary, with the main tools needed being the van der… read more here.
Keywords: theorem; proof; szemer proof; regularity lemma ... See more keywords
A Formally Verified Proof of the Central Limit Theorem
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DOI: 10.1007/s10817-017-9404-x
Abstract: We describe a proof of the Central Limit Theorem that has been formally verified in the Isabelle proof assistant. Our formalization builds upon and extends Isabelle’s libraries for analysis and measure-theoretic probability. The proof of… read more here.
Keywords: formally verified; theorem; central limit; limit theorem ... See more keywords
A Perron–Frobenius Type of Theorem for Quantum Operations
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DOI: 10.1007/s10955-017-1862-3
Abstract: We define a special class of quantum operations we call Markovian and show that it has the same spectral properties as a corresponding Markov chain. We then consider a convex combination of a quantum operation… read more here.
Keywords: quantum; partially decoherent; quantum operations; theorem ... See more keywords