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Jean Desbois 1, Christine Heinemann 1, Stephane Ouvry 1 Physical Review D 51 (1995) 942-945 The computation of the $N$-cycle brownian paths contribution $F_N(\\alpha)$ to the $N$-anyon partition function is adressed. A detailed numerical analysis based on random walk on a lattice indicates that $F_N^{(0)}(\\alpha)= \\prod_{k=1}^{N-1}(1-{N\\over k}\\alpha)$. In the paramount $3$-anyon case, one can show that $F_3(\\alpha)$ is built by linear […]

Comtet, A., Moroz, A., Ouvry, S. Physical Review Letters 74 (1995) 828

M. Lombardi 1 O. Bohigas 2, 3 T. H. Seligman 3, 4 Physics Letters B, Elsevier, 1994, 324, pp.263-266. <10.1016/0370-2693(94)90191-0> New statistical measures are applied to the previously compiled nuclear data ensemble in order to further test energy level fluctuations as well as the absence of correlations between levels and intensities. Data are found to

Leboeuf Patricio 1, Amaury Mouchet 2 Physical Review Letters 73 (1994) 1360 We compute the dispersion laws of chaotic periodic systems using the semiclassical periodic orbit theory to approximate the trace of the powers of the evolution operator. Aside from the usual real trajectories, we also include complex orbits. These turn out to be fundamental for a proper description