Results 1 to 10 of about 48,638 (193)
Path Integration in Two-Dimensional Toplogical Quantum Field Theory [PDF]
, 1995 A positive, diffeomorphism-invariant generalized measure on the space of metrics of a two-dimensional smooth manifold is constructed. We use the term generalized measure analogously with the generalized measures of Ashtekar and Lewandowski and of Baez. A
Sawin, Stephen
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On the pointwise convergence of the integral kernels in the Feynman-Trotter formula [PDF]
, 2019 We study path integrals in the Trotter-type form for the Schr\"odinger equation, where the Hamiltonian is the Weyl quantization of a real-valued quadratic form perturbed by a potential $V$ in a class encompassing that - considered by Albeverio and It\^o ...
Nicola, Fabio, Trapasso, S. Ivan
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One-dimensional wave equations defined by fractal Laplacians [PDF]
, 2014 We study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians are defined by fractal measures generated by iterated function systems with overlaps, such as the well-known infinite Bernoulli convolution associated with
Chan, John Fun-Choi +2 more
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A proof of the refined Gan--Gross--Prasad conjecture for non-endoscopic Yoshida lifts [PDF]
, 2016 We prove a precise formula relating the Bessel period of certain automorphic forms on ${\rm GSp}_{4}(\mathbb{A}_{F})$ to a central $L$-value. This is a special case of the refined Gan--Gross--Prasad conjecture for the groups $({\rm SO}_{5},{\rm SO}_{2})$
Corbett, Andrew
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Functions of perturbed noncommuting self-adjoint operators [PDF]
, 2014 We consider functions $f(A,B)$ of noncommuting self-adjoint operators $A$ and $B$ that can be defined in terms of double operator integrals. We prove that if $f$ belongs to the Besov class $B_{\be,1}^1(\R^2)$, then we have the following Lipschitz type ...
Aleksandrov, Aleksei +2 more
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Standardizing densities on Gaussian spaces
, 2017 In the present note we investigate the problem of standardizing random variables taking values on infinite dimensional Gaussian spaces. In particular, we focus on the transformations induced on densities by the selected standardization procedure.
Lanconelli, Alberto
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Stochastic expansions using continuous dictionaries: L\'{e}vy adaptive regression kernels [PDF]
, 2011 This article describes a new class of prior distributions for nonparametric function estimation. The unknown function is modeled as a limit of weighted sums of kernels or generator functions indexed by continuous parameters that control local and global ...
Clyde, Merlise A. +2 more
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, 2012 An approach to (normalized) infinite dimensional integrals, including normalized oscillatory integrals, through a sequence of evaluations in the spirit of the Monte Carlo method for probability measures is proposed.
Albeverio S +8 more
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, 2008 In the context of a finite measure metric space whose measure satisfies a growth condition, we prove "T1" type necessary and sufficient conditions for the boundedness of fractional integrals, singular integrals, and hypersingular integrals on ...
Gatto, A. Eduardo
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Discrete-Time Path Distributions on Hilbert Space [PDF]
, 2012 We construct a path distribution representing the kinetic part of the Feynman path integral at discrete times similar to that defined by Thomas [1], but on a Hilbert space of paths rather than a nuclear sequence space. We also consider different boundary
Beau, Mathieu, Dorlas, T. C.
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