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2002, University lecture series, ISBN 0821831755, Volume 25, xiii, 149
Book
1971, James K. Whittemore lectures in mathematics given at Yale University. Yale mathematical monographs, 2, Volume 2, 36
Book
Computer Physics Communications, ISSN 0010-4655, 2006, Volume 175, Issue 8, pp. 559 - 571
This paper describe a package written in that automatizes typical operations performed during evaluation of Feynman graphs with Mellin–Barnes (MB) techniques.... 
Feynman integrals | Numerical evaluation | Analytic continuation | Mellin–Barnes integrals | Mellin-Barnes integrals | analytic continuation | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MULTILOOP INTEGRALS | FEYNMAN DIAGRAMS | numerical evaluation | SHELL DOUBLE BOXES | PHYSICS, MATHEMATICAL | SUMS | Logistics services
Journal Article
Constructive Approximation, ISSN 0176-4276, 10/2013, Volume 38, Issue 2, pp. 311 - 337
A fractal function is a function whose graph is the attractor of an iterated function system. This paper generalizes analytic continuation of an analytic... 
Iterated function system | 26A30 | Interpolation | Numerical Analysis | Analysis | Analytic continuation | 28A80 | Mathematics | Fractal function | 26E05 | 41A05 | MATHEMATICS
Journal Article
Physical Review Letters, ISSN 0031-9007, 07/2018, Volume 121, Issue 3, p. 032501
A common challenge faced in quantum physics is finding the extremal eigenvalues and eigenvectors of a Hamiltonian matrix in a vector space so large that linear... 
Analytic functions | Matrix algebra | Mathematical analysis | Linear algebra | Eigenvalues | Eigenvectors | Vectors (mathematics) | Matrix methods | Quantum theory
Journal Article
1974, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebeite, Bd. 207, Volume Bd. 207, 182
Book
Computer Physics Communications, ISSN 0010-4655, 04/2019, Volume 237, pp. 129 - 142
In this work we present a direct comparison of three different numerical analytic continuation methods: the Maximum Entropy Method, the Backus–Gilbert method... 
Lattice QCD | Spectral function | Analytic continuation | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | QCD | FIELD-THEORY | INFORMATION-THEORY | MAXIMUM-ENTROPY ANALYSIS | TIME | PHYSICS, MATHEMATICAL | SPECTRAL FUNCTIONS | Nuclear energy | Electrical conductivity | School facilities | Graphene | Analysis | Nuclear reactors | Nuclear physics | Education parks
Journal Article
New Journal of Physics, ISSN 1367-2630, 11/2017, Volume 19, Issue 10, p. 103036
Westudy the connection between the exponent of the order parameter of the Mott insulator-to-superfluid transition occurring in the two-dimensional Bose-Hubbard... 
analytic continuation | quantum phase transition | critical exponents | Bose-Hubbard model | PHYSICS, MULTIDISCIPLINARY | Physics - Statistical Mechanics
Journal Article
Computer Physics Communications, ISSN 0010-4655, 06/2017, Volume 215, pp. 149 - 155
We present , a tool for performing analytic continuation of spectral functions using the maximum entropy method. The code operates on discrete imaginary axis... 
Maximum entropy method | Analytic continuation | QUANTUM MONTE-CARLO | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ALPS PROJECT | INFINITE DIMENSIONS | ALGORITHM | FERMION SYSTEMS | PHYSICS, MATHEMATICAL | HUBBARD-MODEL | IMPURITY MODELS | Analysis | Methods | Public software
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 07/2019, Volume 371, Issue 7, pp. 5203 - 5246
We describe maximal, in a sense made precise, \mathbb{L}-analytic continuations of germs at +\infty of unary functions definable in the o-minimal structure... 
analytic continuation | MATHEMATICS | O-minimal structures | log-exp-analytic germs
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2017, Volume 50, Issue 46, p. 465302
We explore in detail how analytic continuation of divergent perturbation series by generalized hypergeometric functions is achieved in practice. Using the... 
analytic continuation | quantum phase transition | phase diagram | perturbation theory | Bose-Hubbard model | PHYSICS, MULTIDISCIPLINARY | INSULATOR | PHYSICS, MATHEMATICAL | SUPERFLUID
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 11/2016, Volume 27, Issue 11, pp. 930 - 936
In this article, we will use the binomial transformation to derive a series representation for the hypergeometric function that converges everywhere off the... 
Hypergeometric functions | analytic continuation | 33C20 | binomial transformation | 11B37
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2018, Volume 468, Issue 2, pp. 1115 - 1130
This is a continuation of our previous paper , in which multiple Fibonacci zeta functions of depth 2 have been studied. In this article, we consider more... 
Multiple Lucas zeta function | Residues and poles | Lucas sequence | Analytic continuation | MATHEMATICS | MATHEMATICS, APPLIED | RECIPROCAL SUMS | FIBONACCI NUMBERS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2018, Volume 327, pp. 127 - 140
We consider the problem of numerical analytic continuation of an analytic function on a strip domain , where the data is given approximately only on the line .... 
Ill-posed problems | Modified Lavrentiev iterative | Analytic continuation | Error estimate | MATHEMATICS, APPLIED | TRANSFORM
Journal Article
Computer Physics Communications, ISSN 0010-4655, 11/2019, Volume 244, pp. 319 - 323
We present , a sparse modeling tool for the analytic continuation of imaginary-time Green’s function, licensed under GNU General Public License version 3. In... 
Imaginary-time/Matsubara Green’s function | Analytic continuation | Sparse modeling
Journal Article
Computer Physics Communications, ISSN 0010-4655, 06/2019, Volume 239, pp. 166 - 183
We present the / analytic continuation package, an efficient implementation of the Stochastic Optimization Method proposed by Mishchenko et al. (2000). /... 
Quantum Monte Carlo | Stochastic optimization | Analytic continuation | Python | QUANTUM MONTE-CARLO | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL | HUBBARD-MODEL | Monte Carlo method | Analysis | Methods
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 01/2018, Volume 29, Issue 1, pp. 21 - 42
Journal Article
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