592 citations
- Université de LimogesFR138 papers
- Centre National de la Recherche ScientifiqueFR112 papers
- University of BresciaIT14 papers
- Institut national de recherche en sciences et technologies du numériqueFR11 papers
- Sorbonne UniversitéFR11 papers
- Université de PoitiersFR11 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR9 papers
- Sapienza University of RomeIT9 papers
- The University of Western AustraliaAU8 papers
- Laboratoire Jacques-Louis LionsFR7 papers
- Université de BourgogneFR7 papers
- Université Paris-SaclayFR7 papers
11 papers · 1 filter
Differential algebra on lattice Green functions and Calabi-Yau operators (unabridged version)
Salah Boukraa, Saoud Hassani, Jean-Marie Maillard +1
We revisit miscellaneous linear differential operators mostly associated with lattice Green functions in arbitrary dimensions, but also Calabi-Yau operators and order-seven operato…
Efficient Algorithms for Computing Rational First Integrals and Darboux Polynomials of Planar Polynomial Vector Fields
Alin Bostan, Guillaume Chèze, Thomas Cluzeau +1
We present fast algorithms for computing rational first integrals with bounded degree of a planar polynomial vector field. Our approach is inspired by an idea of Ferragut and Giaco…
Rigorous analysis of highly tunable cylindrical Transverse Magnetic mode re-entrant cavities
J-M. Le Floch, Y. Fan, M. Aubourg +8
Cylindrical re-entrant cavities are unique three-dimensional structures that resonate with their electric and magnetic fields in separate parts of the cavity. To further understand…
Decay properties for functions of matrices over -algebras
Michele Benzi, Paola Boito
We extend previous results on the exponential off-diagonal decay of the entries of analytic functions of banded and sparse matrices to the case where the matrix entries are element…
Distinguisher-Based Attacks on Public-Key Cryptosystems Using Reed-Solomon Codes
Alain Couvreur, Philippe Gaborit, Valérie Gauthier-Umaña +2
Because of their interesting algebraic properties, several authors promote the use of generalized Reed-Solomon codes in cryptography. Niederreiter was the first to suggest an insta…
High-Effciency Cross-Phase Modulation in a Gas-Filled Waveguide
C. Perrella, P. S. Light, J. D. Anstie +4
Strong cross-Kerr non-linearities have been long sought after for quantum information applications. Recent work has shown that they are intrinsically unreliable in travelling wave…