ar X iv : n lin / 0 40 70 12 v 1 [ nl in . C D ] 7 J ul 2 00 4 The morphology of nodal lines – random waves vs

ar X iv : n lin / 0 40 70 12 v 2 [ nl in . C D ] 1 2 N ov 2 00 4 The morphology of nodal lines – random waves versus percolation

In this paper we investigate the properties of nodal structures in random wave fields, and in particular we scrutinize their recently proposed connection with short-range percolation models. We propose a measure which shows the difference between monochromatic random waves, which are characterized by long-range correlations, and Gaussian fields with short-range correlations, which are naturally...

ar X iv : n lin / 0 30 50 20 v 1 [ nl in . C D ] 1 2 M ay 2 00 3 Nodal domains on quantum graphs 8 February 2008

We consider the real eigenfunctions of the Schrödinger operator on graphs, and count their nodal domains. The number of nodal domains fluctuates within an interval whose size equals the number of bonds B. For well connected graphs, with incommensurate bond lengths, the distribution of the number of nodal domains in the interval mentioned above approaches a Gaussian distribution in the limit whe...

ar X iv : 0 70 4 . 33 68 v 2 [ gr - q c ] 2 6 A pr 2 00 7 Search for gravitational waves from binary inspirals in S 3 and S 4 LIGO data

ar X iv : 0 70 7 . 03 46 v 1 [ m at h - ph ] 3 J ul 2 00 7 THE ONE - DIMENSIONAL SCHRÖDINGER - NEWTON EQUATIONS

We prove an existence and uniqueness result for ground states of one-dimensional Schrödinger-Newton equations.

ar X iv : 0 80 7 . 12 85 v 1 [ nl in . A O ] 8 J ul 2 00 8 Collective Phase Sensitivity

Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, and Yoshiki Kuramoto The Earth Simulator Center, Japan Agency for Marine-Earth Science and Technology, Yokohama 236-0001, Japan Department of Physics, Graduate School of Sciences, Kyoto University, Kyoto 606-8502, Japan Abteilung Physikalische Chemie, Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany ...