3 citations · 3 across the 5 of their papers we have counts for
6 papers
Explicit invariant measures for products of random matrices
Jens Marklof, Yves Tourigny, Lech Wolowski
We construct explicit invariant measures for a family of infinite products of random, independent, identically-distributed elements of SL(2,C). The matrices in the product are such…
Unipotent flows on the space of branched covers of Veech surfaces
Alex Eskin, Jens Marklof, Dave Witte Morris
There is a natural action of SL(2,R) on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup $U = {\begin{pmatrix} 1 & * 0 & 1 \end{pmatrix…
Equidistribution of Kronecker sequences along closed horocycles
Jens Marklof, Andreas Strombergsson
It is well known that (i) for every irrational number the Kronecker sequence () is equidistributed modulo one in the limit , and (ii) closed horocyc…
Pair correlation densities of inhomogeneous quadratic forms II
Jens Marklof
Denote by the euclidean norm in $\RR^k$. We prove that the local pair correlation density of the sequence $\| \vecm -\vecalf \|^k$, $\vecm\in\ZZ^k$, is that of a Pois…
Pair correlation densities of inhomogeneous quadratic forms
Jens Marklof
Under explicit diophantine conditions on $(α,β)\in\RR^2$, we prove that the local two-point correlations of the sequence given by the values $(m-α)^2+\break (n-β)^2$, with $(m,n)\i…
Quantum unique ergodicity for parabolic maps
Jens Marklof, Zeev Rudnick
We study the ergodic properties of quantized ergodic maps of the torus. It is known that these satisfy quantum ergodicity: For almost all eigenstates, the expectation values of qua…