20 citations · 58 across the 18 of their papers we have counts for
14 papers · 1 filter
Algebraic intersection in regular polygons
Julien Boulanger, Erwan Lanneau, Daniel Massart
We study the function $$\mbox{KVol} : (X,ω)\mapsto \mbox{Vol} (X,ω) \sup_{α,β} \frac{\mbox{Int} (α,β)}{l_g (α) l_g (β)}$$ defined on the moduli spaces of translation surfaces. More…
A short introduction to translation surfaces, Veech surfaces, and Teichmueller dynamics
Daniel Massart
We review the different notions about translation surfaces which are necessary to understand McMullen's classification of -orbit closures in genus two. In Secti…
The multi-patch logistic equation with asymmetric migration
Bilel Elbetch, Tounsia Benzekri, Daniel Massart +1
This paper considers a multi-patch model, where each patch follows a logistic law, and patches are coupled by asymmetrical migration terms. First, in the case of perfect mixing, i.…
Algebraic intersection for translation surfaces in the stratum
Smaïl Cheboui, Arezki Kessi, Daniel Massart
We study the quantity $\mbox{KVol}$ defined as the supremum, over all pairs of closed curves, of their algebraic intersection, divided by the product of their lengths, times the ar…
Algebraic intersection for translation sufaces in a family of Teichműller disks
Smaïl Cheboui, Arezki Kessi, Daniel Massart
The setting is a square-tiled surface X. We study the quantity KVol, defined as the supremum over all pairs of closed curves, of their algebraic intersection divided by the product…
Differentiability of Mather's -function vs Mañé's conjecture
Daniel Massart
We prove that if a time-periodic Tonelli Lagrangian on a closed manifold satisfies a strong version of the Differentiability Problem for Mather's -function, then the Legendr…