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19922026
most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

Showing 2009Show all

48 papers · 1 filter

math.CV2009★ 7 cited

On volume preserving complex structures on real tori

Fabrizio Catanese, Keiji Oguiso, Thomas Peternell

A basic problem in the classification theory of compact complex manifolds is to give simple characterizations of complex tori. It is well known that a compact Kähler manifold h…

math.NT2009★ 1 cited

On a problem of Hajdu and Tengely

Samir Siksek, Michael Stoll

We prove a result that finishes the study of primitive arithmetic progressions consisting of squares and fifth powers that was carried out by Hajdu and Tengely in a recent paper: T…

stat.ML2009★ 4 cited

Qualitative Robustness of Support Vector Machines

Robert Hable, Andreas Christmann

Support vector machines have attracted much attention in theoretical and in applied statistics. Main topics of recent interest are consistency, learning rates and robustness. In th…

math.AG2009★ 27 cited

Burniat surfaces II: secondary Burniat surfaces form three connected components of the moduli space

Ingrid Bauer, Fabrizio Catanese

We prove in one go that each of the 4 families of Burniat surfaces with K^2 = 6,5,4, is a connected component of the moduli space of surfaces of general type. We prove also the rat…

nlin.PS2009★ 7 cited

Particle dynamics of a cartoon dune

Christopher Groh, Ingo Rehberg, Christof A. Kruelle

The spatio-temporal evolution of a downsized model for a desert dune is observed experimentally in a narrow water flow channel. A particle tracking method reveals that the migratio…

cond-mat.quant-gas2009★ 11 cited

Dynamics and stability of Bose-Einstein solitons in tilted optical lattices

E. Diaz, C. Gaul, R. P. A. Lima +2

Bloch oscillations of Bose-Einstein condensates realize sensitive matter-wave interferometers. We investigate the dynamics and stability of bright-soliton wave packets in one-dimen…

cond-mat.str-el2009★ 24 cited

Multiple vortex-antivortex pair generation in magnetic nanodots

Yuri Gaididei, Volodymyr P. Kravchuk, Denis D. Sheka +1

The interaction of a magnetic vortex with a rotating magnetic field causes the nucleation of a vortex--antivortex pair leading to a vortex polarity switching. The key point of this…

physics.flu-dyn2009★ 36 cited

Dynamics of a trapped Brownian particle in shear flows

Lukas Holzer, Jochen Bammert, Roland Rzehak +1

The Brownian motion of a particle in a harmonic potential, which is simultaneously exposed either to a linear shear flow or to a plane Poiseuille flow is investigated. In the shear…

cond-mat.soft2009★ 110 cited

3D Brownian Diffusion of Submicron-Sized Particle Clusters

Martin Hoffmann, Claudia S. Wagner, Ludger Harnau +1

We report on the translation and rotation of particle clusters made through the combination of spherical building blocks. These clusters present ideal model systems to study the mo…

physics.flu-dyn2009★ 106 cited

Prandtl number dependence of convection driven dynamos in rotating spherical fluid shells

R. D. Simitev, F. H. Busse

The value of the Prandtl number exerts a strong influence on convection-driven dynamos in rotating spherical shells filled with electrically conducting fluids. Low Prandtl numb…

math.AG2009★ 1 cited

Moduli spaces and braid monodromy types of bidouble covers of the quadric

Fabrizio Catanese, Michael Lönne, Bronislaw Wajnryb

Bidouble covers of the quadric Q are parametrized by connected families depending on four positive integers a,b,c,d. In the special case where b=d we call them abc…

gr-qc2009★ 20 cited

Formation of trapped surfaces for the spherically symmetric Einstein-Vlasov system

Hakan Andreasson, Gerhard Rein

We consider the spherically symmetric, asymptotically flat, non-vacuum Einstein equations, using as matter model a collisionless gas as described by the Vlasov equation. We find ex…

cs.CG2009★ 3 cited

The directed Hausdorff distance between imprecise point sets

Christian Knauer, Maarten Löffler, Marc Scherfenberg +1

We consider the directed Hausdorff distance between point sets in the plane, where one or both point sets consist of imprecise points. An imprecise point is modelled by a disc give…

cond-mat.stat-mech2009★ 46 cited

Direct measurement of shear-induced cross-correlations of Brownian motion

Andreas Ziehl, Jochen Bammert, Lukas Holzer +2

Shear-induced cross-correlations of particle fluctuations perpendicular and along stream-lines are investigated experimentally and theoretically. Direct measurements of the Brownia…

physics.ins-det2009★ 45 cited

Observation and characterization of laser-driven Phase Space Electron Holes

G. Sarri, M. E. Dieckmann, C. R. D. Brown +8

The direct observation and full characterization of a Phase Space Electron Hole (EH) generated by laser-matter interaction is presented. This structure has been detected via proton…

math.NT2009★ 51 cited

Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves

John Cremona, Tom Fisher, Michael Stoll

In this paper we consider models for genus one curves of degree n for n = 2, 3 and 4, which arise in explicit n-descent on elliptic curves. We prove theorems on the existence of mi…

cond-mat.quant-gas2009★ 22 cited

Speed of sound in disordered Bose-Einstein condensates

Christopher Gaul, Nina Renner, Cord A. Mueller

Disorder modifies the sound-wave excitation spectrum of Bose-Einstein condensates. We consider the classical hydrodynamic limit, where the disorder correlation length is much longe…

nlin.PS2009★ 43 cited

Nonlinear Schrödinger Equation with Spatio-Temporal Perturbations

Franz G. Mertens, Niurka R. Quintero, A. R. Bishop

We investigate the dynamics of solitons of the cubic Nonlinear Schrödinger Equation (NLSE) with the following perturbations: non-parametric spatio-temporal driving of the form $f(x…

quant-ph2009★ 17 cited

Asymptotic boundary layer method for unstable trajectories: Semiclassics for individual scar wavefunctions

A. Vagov, H. Schomerus, V. V. Zalipaev

We extend the asymptotic boundary layer (ABL) method, originally developed for stable resonator modes, to the description of individual wavefunctions localized around unstable peri…

cond-mat.soft2009★ 12 cited

Structure and interaction of flexible dendrimers in concentrated solution

S. Rosenfeldt, M. Ballauff, P. Lindner +1

We study the influence of mutual interaction on the conformation of flexible poly(propyleneamine) dendrimers of fourth generation in concentrated solution. Mixtures of dendrimers w…

quant-ph2009★ 13 cited

Finite-Temperature Fidelity-Metric Approach to the Lipkin-Meshkov-Glick Model

D. D. Scherer, C. A. Müller, M. Kastner

The fidelity metric has recently been proposed as a useful and elegant approach to identify and characterize both quantum and classical phase transitions. We study this metric on t…

cond-mat.soft2009★ 94 cited

Hard sphere crystallization gets rarer with increasing dimension

J. A. van Meel, B. Charbonneau, A. Fortini +1

We recently found that crystallization of monodisperse hard spheres from the bulk fluid faces a much higher free energy barrier in four than in three dimensions at equivalent super…

cond-mat.quant-gas2009★ 56 cited

Anderson localization of solitons

Krzysztof Sacha, Cord A. Mueller, Dominique Delande +1

At low temperature, a quasi-one-dimensional ensemble of atoms with attractive interaction forms a bright soliton. When exposed to a weak and smooth external potential, the shape of…

cs.CG2009★ 13 cited

Fixed-parameter tractability and lower bounds for stabbing problems

Panos Giannopoulos, Christian Knauer, Gunter Rote +1

We study the following general stabbing problem from a parameterized complexity point of view: Given a set of translates of an object in $\Rd$, find a set of l…