Results 41 to 50 of about 129,728 (246)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
A quasi-isometric embedding theorem for groups
, 2013 We show that every group $H$ of at most exponential growth with respect to some left invariant metric admits a bi-Lipschitz embedding into a finitely generated group $G$ such that $G$ is amenable (respectively, solvable, satisfies a non-trivial identity,
Olshanskii, A., Osin, D.
core +1 more source
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Peak Sets for Lipschitz Functions [PDF]
Proceedings of the American Mathematical Society, 1978 We study the peak sets for the algebras of functions analytic in the unit disc D and satisfying a Lipschitz condition on ∂ D \partial D .
Novinger, W. P., Oberlin, D. M.
openaire +2 more sources
Lost in Translation? Risk‐Adjusting RMSE for Economic Forecast Performance
Journal of Forecasting, EarlyView.ABSTRACT When used for parameter optimization and/or model selection, traditional mean squared error (MSE)–based measures of forecast accuracy often exhibit a weak or even negative correlation with the economic value of return forecasts measured by, for example, the Sharpe ratios of the resulting portfolios.
Lukas Salcher +2 more
wiley +1 more source
Best uniform approximation of semi-Lipschitz functions by extensions
Journal of Numerical Analysis and Approximation Theory, 2007 In this paper we consider the problem of best uniform approximation of a real valued semi-Lipschitz function \(F\) defined on an asymmetric metric space \((X,d),\) by the elements of the set \(\mathcal{E}_{d}(\left. F\right\vert _{Y})\) of all extensions
Costică Mustăţa
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Banach spaces of Lipschitz functions and vector-valued Lipschitz functions [PDF]
Bulletin of the American Mathematical Society, 1969 liflid = Sup{ lf(s)-f(t)1 d-1(s, t) I s, t E S, s =# t} is finite. Forfe LipE (S, d), let Ilf I .=sup { lf(s) 1 I s E S} and IlfII = max (IlfK a), IlfIId) It is routine to show that 11 is a norm for which LipE (S, d) is a Banach space. When E is the set of real or complex numbers, we drop the subscript and write Lip (S, d).
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Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
Journal of Graph Theory, EarlyView.ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar +3 more
wiley +1 more source
Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings
Karpatsʹkì Matematičnì Publìkacìï, 2011 We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces.
M. V. Dubei, A. V. Zagorodnyuk
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Generalized Local Operators Between Function Modules
پژوهشهای ریاضی, 2021 Let X be a compact Hausdorff space, E be a normed space, A(X,E) be a regular Banach function algebra on X , and A(X,E) be a subspace of C(X,E) . In this paper, first we introduce the notion of localness of an additive map S:A(X,E) → C(X,E) with respect ...
Fereshteh Sady, Masoumeh Najafi Tavani
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