9 citations · 11 across the 4 of their papers we have counts for
5 papers
Measure rigidity and equidistribution for fractal carpets
Osama Khalil, Manuel Luethi, Barak Weiss
Let be a Bernoulli measure which is stationary for a random walk generated by finitely many contracting rational affine dilations of , and let $\mathcal{K} = \mat…
Random Walks, Spectral Gaps, and Khintchine's Theorem on Fractals
Osama Khalil, Manuel Luethi
This work addresses problems on simultaneous Diophantine approximation on fractals, motivated by a long standing problem of Mahler regarding Cantor's middle set. We obtain th…
Simultaneous supersingular reductions of CM elliptic curves
Menny Aka, Manuel Luethi, Philippe Michel +1
We study the simultaneous reductions at several supersingular primes of elliptic curves with complex multiplication. We show -- under additional congruence assumptions on the CM or…
Primitive rational points on expanding horocycles in products of the modular surface with the torus
Manfred Einsiedler, Manuel Luethi, Nimish Shah
We prove effective equidistribution of primitive rational points and of primitive rational points defined by monomials along long horocycle orbits in products of the torus and the…
Primitive rational points on expanding horospheres in Hilbert modular surfaces
Manuel Luethi
In recent work by Einsiedler, Mozes, Shah and Shapira the limiting distributions of primitive rational points on expanding horospheres was examined in arbitrary dimension, and a su…