2 3 Ja n 20 08 Good Reduction of Periodic Points

ar X iv : c on d - m at / 0 30 90 08 v 2 2 7 Ja n 20 05 Periodic diffraction patterns for 1 D quasicrystals

A simple model of 1D structure based on a Fibonacci sequence with variable atomic spacings is proposed. The model allows for observation of the continuous transition between periodic and non-periodic diffraction patterns. The diffraction patterns are calculated analytically both using “cut and project” and “average unit cell” method, taking advantage of the physical space properties of the stru...

ar X iv : 0 80 1 . 35 64 v 1 [ as tr o - ph ] 2 3 Ja n 20 08 Local Phase Space - Shaped by Chaos ?

ar X iv : 0 70 5 . 38 12 v 2 [ m at h . D S ] 2 4 Ja n 20 08 DYNAMICS OF THE TEICHMÜLLER FLOW ON COMPACT INVARIANT SETS

Let Q(S) be the moduli space of area one holomorphic quadratic differentials for an oriented surface S of genus g ≥ 0 with m ≥ 0 punctures and 3g − 3 + m ≥ 2. We show that for every compact subset K of Q(S) the as-ymptotic growth rate δ(K) of the number of periodic orbits of the Teichmüller flow Φ t which are contained in K is not bigger than h = 6g − 6 + 2m, and sup K δ(K) = h. Similarly, h is...

Ja n 20 08 N = 4 SYM on K 3 and the AdS 3 / CFT 2 Correspondence

We study the Fareytail expansion of the topological partition function of N = 4 SU (N) super Yang-Mills theory on K3. We argue that this expansion corresponds to a sum over geometries in asymptotically AdS 3 spacetime, which is holographically dual to a large number of coincident fundamental heterotic strings.

ar X iv : 0 80 1 . 13 13 v 4 [ he p - th ] 1 4 Ja n 20 08 N = 4 SYM on K 3 and the AdS 3 / CFT 2 Correspondence

We study the Fareytail expansion of the topological partition function of N = 4 SU (N) super Yang-Mills theory on K3. We argue that this expansion corresponds to a sum over geometries in asymptotically AdS 3 spacetime, which is holographically dual to a large number of coincident fundamental heterotic strings.