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On Quantum Ergodicity for Linear Maps of the Torus

✍ Scribed by Pär Kurlberg; Zeév Rudnick


Publisher
Springer
Year
2001
Tongue
English
Weight
180 KB
Volume
222
Category
Article
ISSN
0010-3616

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Linear parabolic maps on the torus
✍ Karol Życzkowski; Takashi Nishikawa 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 803 KB

We investigate linear parabolic maps on the torus. In a generic case these maps are non-invertible and discontinuous. Although the metric entropy of these systems is equal to zero, their dynamics is non-trivial due to folding of the image of the unit square into the torus. We study the structure of