6 papers
Equidistribution of divergent diagonal orbits in positive characteristic
Nguyen-Thi Dang, Frédéric Paulin, Rafael Sayous
Given a local field with positive characteristic, we study the dynamics of the diagonal subgroup of the linear group on homogeneous s…
Density of shapes of periodic tori in the cubic case
Nguyen-Thi Dang, Nihar Gargava, Jialun Li
Consider the compact orbits of the action of the diagonal group on , the so-called periodic tori. Fo…
Equidistribution and counting of periodic tori in the space of Weyl chambers
Nguyen-Thi Dang, Jialun Li
Let G be a semisimple Lie group without compact factor and < G a torsion-free, cocompact, irreducible lattice. According to Selberg, periodic orbits of regular Weyl chamber flo…
Equidistribution and counting of periodic flat tori
Nguyen-Thi Dang, Jialun Li
Let be a semisimple Lie group without compact factor and a torsion-free, cocompact, irreducible lattice. According to Selberg, periodic orbits of regular Weyl chamber fl…
Topological mixing of positive diagonal flows
Nguyen-Thi Dang
Let be a semi-simple real Lie group without compact factors and a Zariski dense, discrete subgroup. We study the topological dynamics of positive diagonal flows on $Γ\b…
Topological mixing of the Weyl chamber flow
Nguyen-Thi Dang, Olivier Glorieux
In this paper, we study topological properties of the right action by translation of the Weyl Chamber flow on the space of Weyl chambers. We obtain a necessary and sufficient condi…