Author

Izak Oltman

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

Disorder on the hyperbolic square lattice I: Anderson delocalization and absolutely continuous spectrum

We study the Anderson model on hyperbolic lattices. The graph is the Cartesian product of the Euclidean lattice with the regular hyperbolic square lattice having five squares at each vertex. We prove the existence of absolutely continuous spectrum and the absence of singular spectrum on a deterministic set of positive...

Simon Becker, Izak Oltman · 0 citations

Preprint Sep 2026

Quantum percolation conjecture on regular trees

For Bernoulli bond percolation on every regular tree of degree at least three, we prove that infinite clusters appear strictly before absolutely continuous spectrum. Throughout an explicit supercritical interval, the adjacency operator of every open cluster almost surely has no absolutely continuous component. Together...

Simon Becker, Izak Oltman · 0 citations