Results 1 to 10 of about 2,881 (164)
Borel summability and Lindstedt series
, 2006 Resonant motions of integrable systems subject to perturbations may continue to exist and to cover surfaces with parametric equations admitting a formal power expansion in the strength of the perturbation.
A. Giuliani +9 more
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Constructive Field Theory in Zero Dimension
, 2009 In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional $\phi^4$ field theory,in increasing order of sophistication.
Rivasseau, V.
core +5 more sources
Upward and downward statistical continuities [PDF]
, 2013 A real valued function $f$ defined on a subset $E$ of $\textbf{R}$, the set of real numbers, is statistically upward continuous if it preserves statistically upward half quasi-Cauchy sequences, is statistically downward continuous if it preserves ...
Cakalli, Huseyin
core
The Method of almost convergence with operator of the form fractional order and applications
, 2016 The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character.
Kadak, Ugur, Kirisci, Murat
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Constructive Field Theory and Applications: Perspectives and Open Problems
, 2000 In this paper we review many interesting open problems in mathematical physics which may be attacked with the help of tools from constructive field theory. They could give work for future mathematical physicists trained with the constructive methods well
Abdesselam A. +45 more
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Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations
, 2014 We analyze the convergence of compressive sensing based sampling techniques for the efficient evaluation of functionals of solutions for a class of high-dimensional, affine-parametric, linear operator equations which depend on possibly infinitely many ...
Rauhut, Holger, Schwab, Christoph
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, 2018 We analyze a new random algorithm for numerical integration of $d$-variate functions over $[0,1]^d$ from a weighted Sobolev space with dominating mixed smoothness $\alpha\ge 0$ and product weights $1\ge\gamma_1\ge\gamma_2\ge\cdots>0$, where the functions
Kritzer, Peter +3 more
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Loop Vertex Expansion for Phi^2k Theory in Zero Dimension
, 2010 In this paper we extend the method of loop vertex expansion to interactions with degree higher than 4. As an example we provide through this expansion an explicit proof that the free energy of Phi^2k scalar theory in zero dimension is Borel-Le Roy ...
Rivasseau, Vincent, Wang, Zhituo
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Two-Sample U-Statistic Processes for Long-Range Dependent Data [PDF]
, 2014 Motivated by some common-change point tests, we investigate the asymptotic distribution of the U-statistic process $U_n(t)=\sum_{i=1}^{[nt]}\sum_{j=[nt]+1}^n h(X_i,X_j)$, $0\leq t\leq 1$, when the underlying data are long-range dependent.
Dehling, Herold +2 more
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Pairwise MRF Calibration by Perturbation of the Bethe Reference Point [PDF]
, 2012 We investigate different ways of generating approximate solutions to the pairwise Markov random field (MRF) selection problem. We focus mainly on the inverse Ising problem, but discuss also the somewhat related inverse Gaussian problem because both types
Furtlehner, Cyril +3 more
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