Concept
Transformation inverse de Laplace
Publications associées (31)
The Källén-Lehmann representation in de Sitter spacetime
Manuel Loparco, Kamran Salehi Vaziri
We study two-point functions of symmetric traceless local operators in the bulk of de Sitter spacetime. We derive the Kallen-Lehmann spectral decomposition for any spin and show that unitarity implies its spectral densities are nonnegative. In addition, we ...
New York2023Hyperbolic Fourier series
In this article we explain the essence of the interrelation described in [PNAS 118, 15 (2021)] on how to write explicit interpolation formula for solutions of the Klein-Gordon equation by using the recent Fourier pair interpolation formula of Viazovska and ...
arXiv2021Nonperturbative Mellin Amplitudes
Conformal field theory lies at the heart of two central topics in theoretical high energy physics: the study of quantum gravity and the mapping of quantum field theories through the renormalization group. In this thesis we explore a technique to study conf ...
EPFL2021The sliding Frank-Wolfe algorithm and its application to super-resolution microscopy
Emmanuel Emilien Louis Soubies, Quentin Alain Denoyelle, Gabriel Peyré
This paper showcases the theoretical and numerical performance of the Sliding Frank-Wolfe, which is a novel optimization algorithm to solve the BLASSO sparse spikes super-resolution problem. The BLASSO is a continuous (i.e. off-the-grid or grid-less) count ...
IOP PUBLISHING LTD2020Dynamics of optical forces and torques in plasmonic systems: a surface integral equation
Olivier Martin, Karim Achouri, Andrei Kiselev
A novel approach is introduced to determine the time evolution of optical forces and torques on arbitrary shape nanostructures by combining Maxwell's stress tensor with the surface integral equation method (SIE). Conventional time averaging of Maxwell’s st ...
SPIEDigitalLibrary2020Fractional extreme distributions
We consider three classes of linear differential equations on distribution functions, with a fractional order alpha is an element of [0; 1]. The integer case alpha = 1 corresponds to the three classical extreme families. In general, we show that there is a ...
2020Fourier interpolation on the real line
In this paper we construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the value of a function at any given point in terms of the values of the function and its Fourier transform on the set {0,+/- 1,+/- ...
2019The Layer Laboratory: A Calculus for Additive and Subtractive Composition of Anisotropic Surface Reflectance
Wenzel Alban Jakob, Tizian Lucien Zeltner
We present a versatile computational framework for modeling the reflective and transmissive properties of arbitrarily layered anisotropic material structures. Given a set of input layers, our model synthesizes an effective BSDF of the entire structure, whi ...
ASSOC COMPUTING MACHINERY2018On Short Sums Of Trace Functions
Philippe Michel, Chandra Sekhar Raju
We consider sums of oscillating functions on intervals in cyclic groups of size close to the square root of the size of the group. We first prove non-trivial estimates for intervals of length slightly larger than this square root (bridging the "Polya-Vinog ...
Annales Inst Fourier2017Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint
Lyesse Laloui, Jian Zhao, Yang Zou
The effects of viscoelastic filled rock joints on wave propagation are of great significance in rock engineering. The solutions in time domain for plane longitudinal ( P-) and transverse ( S-) waves propagation across a viscoelastic rock joint are derived ...
Springer Verlag2017