54 citations · 504 across the 52 of their papers we have counts for
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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…
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs
J. P. Keating, J. Marklof, B. Winn
We compute the value distributions of the eigenfunctions and spectral determinant of the Schrodinger operator on families of star graphs. The values of the spectral determinant are…
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…