- 98-38 Jens Marklof
- Theta sums, Eisenstein series, and the semiclassical dynamics of a
Jan 27, 98
(auto. generated ps),
of related papers
Abstract. Recent results on the asymptotic behaviour of theta sums are illustrated
with physical examples, such as the semiclassical time evolution of a
quantum spin, which has been previously discussed by Berry and Goldberg.
The second goal is to give a detailed account of the equidistribution of
closed horocycles on the metaplectic cover of the special linear group
SL(2,R) modulo a certain arithmetic subgroup, which in turn can be used to
calculate the limit distribution of the values of theta sums.