2 6 M ar 1 99 9 A Model for Persistent Levy Motion

ar X iv : c on d - m at / 9 91 14 28 v 1 2 6 N ov 1 99 9 The Values Distribution in a Competing Shares Financial Market Model

We present our competing shares financial market model and describe it's behaviour by numerical simulation. We show that in the critical region the distribution avalanches of the market value as defined in this model has a power-law distribution with exponent around 2.3. In this region the price returns distribution is truncated Levy stable.

ar X iv : c on d - m at / 9 60 31 90 v 1 2 9 M ar 1 99 6 The Four - Dimensional XY Spin Glass

ar X iv : m at h / 99 07 16 9 v 1 [ m at h . Q A ] 2 6 Ju l 1 99 9 Integrable deformations of Hamiltonian systems and q - symmetries 1

The complete integrability of the hyperbolic Gaudin Hamiltonian and other related integrable systems is shown to be easily derived by taking into account their sl(2, R) coalgebra symmetry. By using the properties induced by such a coalgebra structure, it can be proven that the introduction of any quantum deformation of the sl(2, R) algebra will provide an integrable deformation for such systems...

ar X iv : c on d - m at / 9 60 40 14 v 1 2 A pr 1 99 6 Quantum Hall Effect and Chaotic Motion in Phase Space

We discuss the relation between the Quantum Hall behaviour of charged carriers and their chaotic motion in phase space. It is shown that the quantum Hall diagram is comparable with the stepped diagram in phase space of a chaotic motion.

ha o - dy n / 99 03 03 2 v 1 2 3 M ar 1 99 9 On the classical dynamics of billiards on the sphere

We study the classical motion in bidimensional polygonal billiards on the sphere. In particular we investigate the dynamics in tiling and generic rational and irrational equilateral triangles. Unlike the plane or the negative curvature cases we obtain a complex but regular dynamics.