Concept
Fonction hypergéométrique
Publications associées (22)
Electromagnetic waves under nonstationary conditions, the connection with parity-time symmetry and studies on resonant systems
In this thesis, the electromagnetic wave propagation is studied in nonstationary-medium scenarios. The electromagnetic fields under material time-modulation are shown to conserve their momentum but not their energy. The mathematical foundations and analysi ...
EPFL2021The art of simulating the early universe. Part I. Integration techniques and canonical cases
Daniel Garcia Figueroa, Adrien Florio, Wessel Valkenburg, Francisco Torrenti
We present a comprehensive discussion on lattice techniques for the simulation of scalar and gauge field dynamics in an expanding universe. After reviewing the continuum formulation of scalar and gauge field interactions in Minkowski and FLRW backgrounds, ...
2021Capture zone models of a multi-well system in aquifers bounded with regular and irregular inflow boundaries
David Andrew Barry, Setareh Nagheli
Being bounded by hydrological (inflow and barrier) boundaries, natural aquifers have regular/irregular shapes. Here, we consider aquifers bounded by segmental inflow (variable head) boundaries in which water is extracted/injected by a multi-well system. St ...
2020Momentum space CFT correlators for Hamiltonian truncation
We consider Lorentzian CFT Wightman functions in momentum space. In particular, we derive a set of reference formulas for computing two- and three-point functions, restricting our attention to three-point functions where the middle operator (corresponding ...
2020Conformal 3-Point Functions and the Lorentzian OPE in Momentum Space
In conformal field theory in Minkowski momentum space, the 3-point correlation functions of local operators are completely fixed by symmetry. Using Ward identities together with the existence of a Lorentzian operator product expansion (OPE), we show that t ...
SPRINGER2020Convergent momentum-space OPE and bootstrap equations in conformal field theory
General principles of quantum field theory imply that there exists an operator product expansion (OPE) for Wightman functions in Minkowski momentum space that converges for arbitrary kinematics. This convergence is guaranteed to hold in the sense of a dist ...
SPRINGER2020From Wallis to Ramanujan, in companionship with RW Gosper
Accelerating the convergence of some hypergeometric series with Gosper's method leads, in a most elementary way, to some series discovered by Ramanujan, Bauer and Dougall. In particular, it is shown that one of them can be traced back to the well-known for ...
2018Large Sieve Inequalities for Algebraic Trace Functions
The large sieve inequalities for algebraic trace functions are considered in this article. A fundamental iterative relation is established by classical Fourier analysis, and l-adic Fourier analysis and multiplicative convolutions of sheaves are also requir ...
Oxford Univ Press2017Some consequences of Masser's counting theorem on elliptic curves
We use Masser's counting theorem to prove a lower bound for the canonical height in powers of elliptic curves. We also prove the Galois case of the elliptic Lehmer problem, combining Kummer theory and Masser's result with bounds on the rank and torsion of ...
Springer Heidelberg2017