4 papers
math.DS2019
Shearing in the space of adelic lattices
Ofir David
In this notes we show how a problem regarding continued fractions of rational numbers, lead to several phenomena in number theory and dynamics, and eventually to the problem of she…
math.GR2019
Graphs with large girth and free groups
Ofir David
We use Margulis' construction together with lattice counting arguments to build Cayley graphs on which are d-regular graph…
math.GR2019
Local to global property in free groups
Ofir David
The local to global property for an equation over a group G asks to show that is solvable in G if and only if it is solvable in every finite quotient of G. In this paper we…
math.DS2017
Equidistribution of divergent orbits of the diagonal group in the space of lattices
Ofir David, Uri Shapira
We consider divergent orbits of the group of diagonal matrices in the space of lattices in Euclidean space. We define two natural numerical invariants of such orbits: The discrimin…