779 citations
- Centre National de la Recherche ScientifiqueFR575 papers
- Institut de Mathématiques de BourgogneFR417 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR265 papers
- Université Bourgogne Franche-ComtéFR132 papers
- Laboratoire d’Électronique, Informatique et ImageFR41 papers
- Université Paris-SudFR40 papers
- Institute for Physical ResearchAM32 papers
- Laboratoire de Mathématiques Blaise PascalFR29 papers
- Sorbonne UniversitéFR28 papers
- Franche-Comté Électronique Mécanique Thermique et Optique - Sciences et TechnologiesFR27 papers
- Technical University of MunichDE27 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR26 papers
1,040 papers
(Un)ranking Permutation Classes
Nathanaël Hassler, Vincent Vajnovszki
Permutations avoiding a pattern of length three are enumerated by the Catalan numbers. In this work, we present methods for ranking and unranking such permutations in lexicographic…
Fibonacci and Catalan Numbers Meet in Staircase Polyominoes
Jean-Luc Baril, José Luis Ramírez, Samuel Ramírez +1
We study Fibonacci (staircase) polyominoes, a class of column-convex polyominoes whose lower boundary is a staircase with unit vertical steps. We derive multivariate generating fun…
Slow-fast system in Rosales-Majda combustion model with fractional order kinetics
Claude-Michel Brauner, Jinlong Jing, Robert Roussarie
We consider traveling wave solutions of a one-dimensional model for detonation waves derived by Rosales and Majda, when the reaction order belongs to . The chemical kine…
Beta distribution and associated Stirling numbers of the second kind
Jakub Gismatullin, Patrick Tardivel
This article gives a formula for associated Stirling numbers of the second kind based on the moment of a sum of independent random variables having a beta distribution. From this f…
Spatio-temporal equilibrium thermodynamics of guided optical waves at positive and negative temperatures
Lucas Zanaglia, Josselin Garnier, Claire Michel +5
Optical thermalization has been recently studied in the 2D spatial evolution of (quasi-)monochromatic light waves propagating in multimode waveguides. Here, we investigate the spat…
Ulrich and Instanton Bundles on Special Cubic Fourfolds
Gianfranco Casnati, Daniele Faenzi, Federica Galluzzi
We study instanton and Ulrich bundles on hypersurfaces of the projective space, with a focus on special cubic fourfolds and generalized Pfaffians, notably defined by skew-symmetric…