Results 41 to 50 of about 624,774 (227)
Fubini’s theorem for Daniell integrals
Archiv der MathematikAbstractWe show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged. By this means, we discuss product integrals and show that the related Fubini theorem holds in full generality.
Götz Kersting, Gerhard Rompf
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, 2016 We establish the equidistribution of zeros of random holomorphic sections of powers of a semipositive singular Hermitian line bundle, with an estimate of the convergence speed.Comment: 23pages.
Dinh, Tien-Cuong +2 more
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Mathematische Nachrichten, EarlyView.Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
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A Correspondence Principle for the Gowers Norms
, 2012 We give a variation of the Furstenberg Correspondence which preserves the Gowers uniformity norms.Comment: Journal of Logic and Analysis, 4; February ...
Towsner, Henry
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Topology and its Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell +2 more
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Chai's Conjecture and Fubini properties of dimensional motivic integration
, 2013 We prove that a conjecture of Chai on the additivity of the base change conductor for semi-abelian varieties over a discretely valued field is equivalent to a Fubini property for the dimensions of certain motivic integrals.
Chai +4 more
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A Nonstandard Functional Approach to Fubini's Theorem [PDF]
Proceedings of the American Mathematical Society, 1985 In this note we use a functional approach to the integral to obtain a special case of the Keisler-Fubini theorem; the general case can be obtained with a similar proof. An immediate application is the standard Fubini theorem for products of Radon measures. Similar methods give the Weil formula for quotient groups of compact Abelian groups.
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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