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Intégrale de Dirichlet
Publications associées (43)
BPS invariants from p-adic integrals
Dimitri Stelio Wyss, Francesca Carocci, Giulio Orecchia
We define p-adic BPS or pBPS invariants for moduli spaces M-beta,M-chi of one-dimensional sheaves on del Pezzo and K3 surfaces by means of integration over a non-archimedean local field F. Our definition relies on a canonical measure mu can on the F-analyt ...
Cambridge Univ Press2024On the Sums over Inverse Powers of Zeros of the Hurwitz Zeta Function and Some Related Properties of These Zeros
Recently, we have applied the generalized Littlewood theorem concerning contour integrals of the logarithm of the analytical function to find the sums over inverse powers of zeros for the incomplete gamma and Riemann zeta functions, polygamma functions, an ...
MDPI2024On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions
Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calcul ...
MDPI2023Quadrature-free immersed isogeometric analysis
Pablo Antolin Sanchez, Thibaut Hirschler
This paper presents a novel method for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not require quadrature schemes. It relies on a newly developed technique for the eva ...
SPRINGER2022Unraveling looping efficiency of stochastic Cosserat polymers
Understanding looping probabilities, including the particular case of ring closure or cyclization, of fluctuating polymers (e.g., DNA) is important in many applications in molecular biology and chemistry. In a continuum limit the configuration of a polymer ...
AMER PHYSICAL SOC2022TiCl3-Mediated Synthesis of 2,3,3-Trisubstituted Indolenines: Total Synthesis of (+)-1,2-Dehydroaspidospermidine, (+)-Condyfoline, and (-)-Tubifoline
Qian Wang, Jieping Zhu, Cyril Piemontesi, Bastien Delayre
2,3,3-Trisubstituted indolenine constitutes an integral part of many biologically important monoterpene indole alkaloids. We report herein an unprecedented access to this skeleton by a TiCl3-mediated reductive cyclization of tetrasubstituted alkenes bearin ...
WILEY-V C H VERLAG GMBH2020Integral Convexity And Parabolic Systems
In this work we give optimal, i.e., necessary and sufficient, conditions for integrals of the calculus of variations to guarantee the existence of solutions-both weak and variational solutions-to the associated L-2-gradient flow. The initial values are mer ...
SIAM PUBLICATIONS2020Analysing density and identifying lane changing behaviour using naturalistic data from a swarm of drones
In recent years, drones have come a long way from their early expensive military implementation to today’s relative accessibility to the wider public. Video stabilization and image recognition have also been very active field of research which influence is ...
2020Simulation of snow management in Alpine ski resorts using three different snow models
Michael Lehning, Mathias Thierry Pierre Bavay
Snow management, i. e., snowmaking and grooming, is an integral part of modern ski resort management. While the current snow cover distribution on the slopes is often well known thanks to the usage of advanced monitoring techniques, information about its f ...
ELSEVIER2020On Jump-Diffusive Driving Noise Sources: Some Explicit Results and Applications
Max-Olivier Hongler, Roger Filliger
We study some linear and nonlinear shot noise models where the jumps are drawn from a compound Poisson process with jump sizes following an Erlang-m distribution. We show that the associated Master equation can be written as a spatial mth order partial dif ...
Springer2019