3 papers
math.NT2009
On the fluctuations of matrix elements of the quantum cat map
Lior Rosenzweig
We study the fluctuations of the diagonal matrix elements of the quantum cat map about their limit. We show that after suitable normalization, the fifth centered moment for the Hec…
math.NT2007
Matrix elements for the quantum cat map: Fluctuations in short windows
P. Kurlberg, L. Rosenzweig, Z. Rudnick
We study fluctuations of the matrix coefficients for the quantized cat map. We consider the sum of matrix coefficients corresponding to eigenstates whose eigenphases lie in a rando…
math-ph2005
Quantum Unique Ergodicity for maps on the torus
Lior Rosenzweig
When a map is classically uniquely ergodic, it is expected that its quantization will posses quantum unique ergodicity. In this paper we give examples of Quantum Unique Ergodicity…