14 citations · 28 across the 9 of their papers we have counts for
10 papers
On the Markov numbers: fixed numerator, denominator, and sum conjectures
Clément Lagisquet, Edita Pelantová, Sébastien Tavenas +1
The Markov numbers are the positive integer solutions of the Diophantine equation . Already in 1880, Markov showed that all these solutions could be generat…
Interpreting Distortions in Dimensionality Reduction by Superimposing Neighbourhood Graphs
Benoît Colange, Laurent Vuillon, Sylvain Lespinats +1
To perform visual data exploration, many dimensionality reduction methods have been developed. These tools allow data analysts to represent multidimensional data in a 2D or 3D spac…
Derivated sequences of complementary symmetric Rote sequences
Kateřina Medková, Edita Pelantová, Laurent Vuillon
Complementary symmetric Rote sequences are binary sequences which have factor complexity for all integers and whose languages are closed under the…
Some special solutions to the Hyperbolic NLS equation
Laurent Vuillon, Denys Dutykh, Francesco Fedele
The Hyperbolic Nonlinear Schrodinger equation (HypNLS) arises as a model for the dynamics of three-dimensional narrowband deep water gravity waves. In this study, the Petviashvili…
On the fixed point of the iterated pseudopalindromic closure
D. Jamet, G. Paquin, G. Richomme +1
First introduced in the study of the Sturmian words, the iterated palindromic closure was recently generalized to pseudopalindromes. This operator allows one to construct words wit…
A characterization of balanced episturmian sequences
G. Paquin, L. Vuillon
It is well known that Sturmian sequences are the aperiodic sequences that are balanced over a 2-letter alphabet. They are also characterized by their complexity: they have exactly…