ar X iv : 1 20 5 . 61 87 v 1 [ nl in . C D ] 2 8 M ay 2 01 2 Weak - Chaos Ratchet Accelerator

ar X iv : 1 30 5 . 51 61 v 1 [ he p - la t ] 2 2 M ay 2 01 3 Freeze - out parameters : lattice meets experiment

S. Borsanyi, Z. Fodor, S. D. Katz, S. Krieg, C. Ratti, K. K. Szabo 1 Department of Physics, Wuppertal University, Gaussstr. 20, D-42119 Wuppertal, Germany 2 Inst. for Theoretical Physics, Eötvös University, Pázmány P. sétány 1/A, H-1117 Budapest, Hungary 3 Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, Germany 4 MTA-ELTE ”Lendület” Lattice Gauge Theory Research Group, P...

ar X iv : 1 10 5 . 38 75 v 1 [ co nd - m at . su pr - c on ] 19 M ay 2 01 1 Tunnel Spectroscopy of a Proximity Josephson Junction

ar X iv : m at h / 01 05 23 2 v 1 [ m at h . N T ] 2 8 M ay 2 00 1 MODULAR CURVES OF GENUS 2

We prove that there are exactly 149 genus two curves C defined over Q such that there exists a nonconstant morphism π : X 1 (N) → C defined over Q and the jacobian of C is Q-isogenous to the abelian variety A f attached by Shimura to a newform f ∈ S 2 (Γ 1 (N)). We determine the corresponding newforms and present equations for all these curves.

ar X iv : 0 70 5 . 34 70 v 1 [ nl in . C D ] 2 3 M ay 2 00 7 Embeddings of low - dimensional strange attractors : Topological invariants and degrees of freedom

Nicola Romanazzi, Marc Lefranc, and Robert Gilmore Physics Department, Drexel University, Philadelphia, Pennsylvania 19104, USA and Laboratoire de Physique des Lasers, Atomes, Molécules, UMR CNRS 8523, Centre d’Études et de Recherches Lasers et Applications, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d’Ascq, France (Dated: February 1, 2008, Physical Review E: To be sub...

ar X iv : n lin / 0 50 20 61 v 1 [ nl in . C G ] 2 6 Fe b 20 05 Two Cellular Automata for the 3 x + 1 Map

Two simple Cellular Automata, which mimic the Collatz-Ulam iterated map (3x + 1 map), are introduced. These Cellular Automata allow to test efficiently the Collatz conjecture for very large numbers.