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36 papers · 1 filter

math.PR2006★ 13 cited

A Random Multiple Access Protocol with Spatial Interactions

Charles Bordenave, Sergey Foss, Vsevolod Shneer

We analyse an ALOHA-type random multiple-access protocol where users have local interactions. We show that the fluid model of the system workload satisfies a certain differential e…

math.PR2006★ 22 cited

Joint density for the local times of continuous-time Markov chains

David Brydges, Remco van der Hofstad, Wolfgang König

We investigate the local times of a continuous-time Markov chain on an arbitrary discrete state space. For fixed finite range of the Markov chain, we derive an explicit formula for…

math.RT2006★ 5 cited

The cyclotomic BMW algebra associated with the two string type B braid group

Stewart Wilcox, Shona Yu

The cyclotomic Birman-Murakami-Wenzl (or BMW) algebras B_n^k, introduced by R. Haring-Oldenburg, are extensions of the cyclotomic Hecke algebras of Ariki-Koike, in the same way as…

cond-mat.other2006

Observation of a Long-Range Interaction between Semiconductor Quantum Dots

E. W. Bogaart, J. E. M. Haverkort, R. Noetzel

We demonstrate electromagnetic interaction between distant quantum dots (QDs), as is observed from transient pump-probe differential reflectivity measurements. The QD-exciton lifet…

physics.plasm-ph2006★ 243 cited

Photoionization in negative streamers: fast computations and two propagation modes

Alejandro Luque, Ute Ebert, Carolynne Montijn +1

Streamer discharges play a central role in electric breakdown of matter in pulsed electric fields, both in nature and in technology. Reliable and fast computations of the minimal m…

cond-mat.mtrl-sci2006★ 132 cited

The influence of photon angular momentum on ultrafast spin dynamics in Nickel

F. Dalla Longa, J. T. Kohlhepp, W. J. M. de Jonge +1

The role of photon angular momentum in laser-induced demagnetization of Nickel thin films is investigated by means of pump-probe time-resolved magneto-optical Kerr effect in the po…

physics.atom-ph2006★ 13 cited

Helium 2 3S - 2 1S metrology at 1557 nm

K. A. H. van Leeuwen, W. Vassen

An experiment is proposed to excite the 'forbidden' 1s2s 3S1 - 1s2s 1S0 magnetic dipole (M1) transition at 1557 nm in a collimated and slow atomic beam of metastable helium atoms.…

math.PR2006

Copolymer at selective interfaces and pinning potentials: weak coupling limits

Nicolas Petrelis

We consider a simple random walk of length , denoted by , and we define a sequence of centered i.i.d. random variables. For $K\in\N…

math.ST2006★ 18 cited

Scale space consistency of piecewise constant least squares estimators -- another look at the regressogram

Leif Boysen, Volkmar Liebscher, Axel Munk +1

We study the asymptotic behavior of piecewise constant least squares regression estimates, when the number of partitions of the estimate is penalized. We show that the estimator is…

quant-ph2006★ 25 cited

POVMs: a small but important step beyond standard quantum mechanics

Willem M. de Muynck

It is the purpose of the present contribution to demonstrate that the generalization of the concept of a quantum mechanical observable from the Hermitian operator of standard quant…

math.DS2006★ 4 cited

Entropy of a bit-shift channel

Stan Baggen, Vladimir Balakirsky, Dee Denteneer +4

We consider a simple transformation (coding) of an iid source called a bit-shift channel. This simple transformation occurs naturally in magnetic or optical data storage. The resul…

math.PR2006★ 25 cited

Random walk in random scenery: A survey of some recent results

Frank den Hollander, Jeffrey E. Steif

. In this paper we give a survey of some recent results for random walk in random scenery (RWRS). On , , we are given a random walk with i.i.d. increments a…

cs.LO2006

A Finite Equational Base for CCS with Left Merge and Communication Merge

Luca Aceto, Wan Fokkink, Anna Ingolfsdottir +1

Using the left merge and communication merge from ACP, we present an equational base (i.e., a ground-complete and -complete set of valid equations) for the fragment of CCS witho…

nlin.PS2006★ 32 cited

Spatiotemporal patterns in a DC semiconductor-gas-discharge system: stability analysis and full numerical solutions

I. R. Rafatov, D. D. Sijacic, U. Ebert

A system very similar to a dielectric barrier discharge, but with a simple stationary DC voltage, can be realized by sandwiching a gas discharge and a high-ohmic semiconductor laye…

cond-mat.stat-mech2006★ 3 cited

Remarks on the Nyquist and Callen-Welton Theorems

S. A. Trigger, G. J. F. van Heijst, A. A. Rukhadze +1

The connection of the Callen-Welton and Nyquist fluctuation-dissipation relations is considered for plasma-like classical and quantum systems. The conditions for appearance of the…

math.PR2006★ 48 cited

Weak and almost sure limits for the parabolic Anderson model with heavy tailed potentials

Remco van der Hofstad, Peter Mörters, Nadia Sidorova\tsup

We study the parabolic Anderson problem, that is, the heat equation on with independent identically distributed random potentia…

physics.comp-ph2006★ 119 cited

An adaptive grid refinement strategy for the simulation of negative streamers

C. Montijn, W. Hundsdorfer, U. Ebert

The evolution of negative streamers during electric breakdown of a non-attaching gas can be described by a two-fluid model for electrons and positive ions. It consists of continuit…

math.ST2006★ 72 cited

Bayesian analysis for reversible Markov chains

Persi Diaconis, Silke W. W. Rolles

We introduce a natural conjugate prior for the transition matrix of a reversible Markov chain. This allows estimation and testing. The prior arises from random walk with reinforcem…

math.PR2006★ 8 cited

Universality for the distance in finite variance random graphs: Extended version

Henri van den Esker, Remco van der Hofstad, Gerard Hooghiemstra

We generalize the asymptotic behavior of the graph distance between two uniformly chosen nodes in the configuration model to a wide class of random graphs. Among others, this class…

math.AG2006★ 2 cited

A tropical approach to secant dimensions

Jan Draisma

Tropical geometry yields good lower bounds, in terms of certain combinatorial-polyhedral optimisation problems, on the dimensions of secant varieties. In particular, it gives an at…

cond-mat.other2006★ 32 cited

Instabilities leading to vortex lattice formation in rotating Bose-Einstein condensates

N. G. Parker, R. M. W. van Bijnen, A. M. Martin

We present a comprehensive theoretical study of vortex lattice formation in atomic Bose-Einstein condensates confined by a rotating elliptical trap. We consider rotating solutions…

physics.plasm-ph2006★ 226 cited

The multiscale nature of streamers

Ute Ebert, Carolynne Montijn, T. M. P. Briels +4

Streamers are a generic mode of electric breakdown of large gas volumes. They play a role in the initial stages of sparks and lightning, in technical corona reactors and in high al…

physics.plasm-ph2006★ 43 cited

Numerical convergence of the branching time of negative streamers

Carolynne Montijn, Ute Ebert, Willem Hundsdorfer

In sufficiently large gaps and electric fields, discharge streamers do branch. In [Arrayas et al., PRL 88, 174502 (2002)], we observed streamer branching numerically within a deter…

cond-mat.mes-hall2006★ 33 cited

Optical characteristics of single wavelength-tunable InAs/InGaAsP/InP(100) quantum dots emitting at 1.55 um

N. I. Cade, H. Gotoh, H. Kamada +3

We have studied the emission properties of individual InAs quantum dots (QDs) grown in an InGaAsP matrix on InP(100) by metal-organic vapor-phase epitaxy. Low-temperature microphot…