Results 1 to 10 of about 41,371 (166)
A Poincaré inequality on loop spaces
Journal of Functional Analysis, 2010 We investigate properties of measures in infinite dimensional spaces in terms of Poincaré inequalities. A Poincaré inequality states that the $L^2$ variance of an admissible function is controlled by the homogeneous $H^1$ norm. In the case of Loop spaces, it was observed by L.
Xin Chen, Xue-Mei Li
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On homotopy nilpotency of some suspended spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 A homological criterium from [Golasiński, M., On homotopy nilpotency of loop spaces of Moore spaces, Canad. Math. Bull. (2021), 1–12] is applied to investigate the homotopy nilpotency of some suspended spaces.
Marek Golasinski
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Loop spaces and connections [PDF]
Journal of Topology, 2012 Revised ...
Ben-Zvi, David, Nadler, David
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On the infinite loop spaces of algebraic cobordism and the motivic sphere [PDF]
Épijournal de Géométrie Algébrique, 2021 We obtain geometric models for the infinite loop spaces of the motivic spectra $\mathrm{MGL}$, $\mathrm{MSL}$, and $\mathbf{1}$ over a field. They are motivically equivalent to $\mathbb{Z}\times \mathrm{Hilb}_\infty^\mathrm{lci}(\mathbb{A}^\infty ...
Tom Bachmann +5 more
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Loop spaces and representations [PDF]
Duke Mathematical Journal, 2013 A strengthened version of the second half of arXiv:0706.0322, with significant new material. v2: minor revisions.
Ben-Zvi, David, Nadler, David
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Positive geometry, local triangulations, and the dual of the Amplituhedron
Journal of High Energy Physics, 2021 We initiate the systematic study of local positive spaces which arise in the context of the Amplituhedron construction for scattering amplitudes in planar maximally supersymmetric Yang-Mills theory. We show that all local positive spaces relevant for one-
Enrico Herrmann +3 more
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Diagrammar of physical and fake particles and spectral optical theorem
Journal of High Energy Physics, 2021 We prove spectral optical identities in quantum field theories of physical particles (defined by the Feynman iϵ prescription) and purely virtual particles (defined by the fakeon prescription).
Damiano Anselmi
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Physical Review D, 2005 We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams.
Bena, Iosif +3 more
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Small-gain theorem for a class of abstract parabolic systems [PDF]
Opuscula Mathematica, 2018 We consider a class of abstract control system of parabolic type with observation which the state, input and output spaces are Hilbert spaces. The state space operator is assumed to generate a linear exponentially stable analytic semigroup.
Piotr Grabowski
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On loop spaces of configuration spaces [PDF]
Transactions of the American Mathematical Society, 2002 This article gives an analysis of topological and homological properties for loop spaces of configuration spaces. The main topological results are given by certain choices of product decompositions of these spaces, as well as “twistings" between the factors.
Cohen, F. R., Gitler, S.
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