5 papers · 1 filter
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…