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quant-ph2001★ 4 cited

Multiple return times in the quantum baker map

M. Fannes, P. Spincemaille

For chaotic classical systems, the distribution of return times to a small region of phase space is universal. We propose a simple tool to investigate multiple returns in quantum s…

math-ph2001★ 5 cited

The mutual affinity of random measures

M. Fannes, P. Spincemaille

We consider a set of probability measures on a finite event space . The mutual affinity is introduced in terms of the spectrum of the associated Gram matrix. We show that, for r…

math.AG2001★ 1 cited

Families of supersingular curves in characteristic 2

Jasper Scholten, Hui June Zhu

This paper determines the normal forms of hyperelliptic supersingular curves of genus g over an algebraically closed field F of characteristic 2 for 0 < g< 9. We also show that eve…

astro-ph2001★ 221 cited

New Periodic Variables from the Hipparcos Epoch Photometry

C. Koen, L. Eyer

Two selection statistics are used to extract new candidate periodic variables from the epoch photometry of the Hipparcos catalogue. The primary selection criterion is a signal to n…

cond-mat.dis-nn2001★ 10 cited

An optimal Q-state neural network using mutual information

D. Bolle, T. Verbeiren

Starting from the mutual information we present a method in order to find a hamiltonian for a fully connected neural network model with an arbitrary, finite number of neuron states…

quant-ph2001★ 207 cited

Entanglement versus Bell violations and their behaviour under local filtering operations

Frank Verstraete, Michael M. Wolf

We discuss the relations between the violation of the CHSH Bell inequality for systems of two qubits on the one side and entanglement of formation, local filtering operations, and…

math.QA2001★ 1 cited

Amenability and the bicrossed product construction

P. Desmedt, J. Quaegebeur, S. Vaes

We study stability properties of amenable locally compact quantum groups under the bicrossed product construction. We obtain as our main result an equivalence between amenability o…

cond-mat.dis-nn2001

On-line learning and generalisation in coupled perceptrons

D. Bolle', P. Kozlowski

We study supervised learning and generalisation in coupled perceptrons trained on-line using two learning scenarios. In the first scenario the teacher and the student are independe…

hep-th2001★ 1 cited

Comments on duality-symmetric theories

Xavier Bekaert, Sorin Cucu

We briefly review the basics of electric-magnetic duality symmetry and their geometric interpretation in the M-theory context. Then we recall some no-go theorems that prevent a sim…

cond-mat2001★ 19 cited

Surface states and their possible role in the superconductivity of MgB2

V. D. P. Servedio, S. -L. Drechsler, T. Mishonov

We report layer-Korringa-Kohn-Rostocker calculations for bulk and surface states as well as the corresponding angle resolved photoemission (ARPES) intensities of MgB2. Our theoreti…

cond-mat.supr-con2001★ 13 cited

Vortex states in a mesoscopic superconducting triangle

V. R. Misko, V. M. Fomin, J. T. Devreese +1

The set of the nonlinear Ginzburg-Landau equations is solved for an Al mesoscopic superconducting triangle of finite thickness. We calculate the distributions of the superconductin…

cond-mat.stat-mech2001

No current without heat

C. Maes, F. Redig, M. Verschuere

We show for a large class of interacting particle systems that whenever the stationary measure is not reversible for the dynamics, then the mean entropy production in the steady st…

hep-th2001★ 32 cited

Supersymmetry of Massive D=9 Supergravity

J. Gheerardyn, P. Meessen

By applying generalized dimensional reduction on the type IIB supersymmetry variations, we derive the supersymmetry variations for the massive 9-dimensional supergravity. We use th…

math.QA2001★ 1 cited

Quantum groups, differential calculi and the eigenvalues of the Laplacian

J. Kustermans, G. J. Murphy, L. Tuset

We study *-differential calculi over compact quantum groups in the sense of S.L. Woronowicz. Our principal results are the construction of a Hodge operator commuting with the Lapla…

math-ph2001★ 1 cited

Fluctuations in the Bose Gas with Attractive Boundary Conditions

J. Lauwers, A. Verbeure

In this paper limiting distribution functions of field and density fluctuations are explicitly and rigorously computed for the different phases of the Bose gas. Several Gaussian an…

math.CA2001★ 1 cited

The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]

A. B. J. Kuijlaars, K. T-R McLaughlin, W. Van Assche +1

We consider polynomials that are orthogonal on with respect to a modified Jacobi weight , with and real analytic and stricly positive on $…

cond-mat.soft2001★ 1 cited

Cross-over between first-order and critical wetting at the liquid-vapour interface of n-alkane/methanol mixtures: tricritical wetting and critical prewetting

A. I. Posazhennikova, J. O. Indekeu, D. Ross +2

A mean-field theory is presented which describes the basic observations of recent experiments revealing rich wetting behaviour of n-alkane/methanol mixtures at the liquid-vapour in…

math.QA2001★ 2 cited

Differential Calculi over Quantum Groups and Twisted Cyclic Cocycles

J. Kustermans, G. J. Murphy, L. Tuset

We study some aspects of the theory of non-commutative differential calculi over complex algebras, especially over the Hopf algebras associated to compact quantum groups in the sen…

cs.PL2001

Practical Aspects for a Working Compile Time Garbage Collection System for Mercury

Nancy Mazur, Peter Ross, Gerda Janssens +1

Compile-time garbage collection (CTGC) is still a very uncommon feature within compilers. In previous work we have developed a compile-time structure reuse system for Mercury, a lo…

cs.LG2001★ 132 cited

Efficient algorithms for decision tree cross-validation

Hendrik Blockeel, Jan Struyf

Cross-validation is a useful and generally applicable technique often employed in machine learning, including decision tree induction. An important disadvantage of straightforward…

astro-ph2001

Asteroseismology and forced oscillations of HD 209295, the first member of two classes of pulsating star

G. Handler, L. A. Balona, R. R. Shobbrook +9

We report the discovery of both intermediate-order gravity mode and low-order pressure mode pulsation in the same star, HD 209295. It is therefore both a gamma Doradus and a delta…

quant-ph2001★ 67 cited

Optimizing Completely Positive Maps using Semidefinite Programming

K. Audenaert, B. De Moor

Recently, a lot of attention has been devoted to finding physically realisable operations that realise as closely as possible certain desired transformations between quantum states…

cs.PL2001★ 18 cited

On termination of meta-programs

Alexander Serebrenik, Danny De Schreye

The term {\em meta-programming} refers to the ability of writing programs that have other programs as data and exploit their semantics. The aim of this paper is presenting a method…

cs.PL2001

Inference of termination conditions for numerical loops in Prolog

Alexander Serebrenik, Danny De Schreye

We present a new approach to termination analysis of numerical computations in logic programs. Traditional approaches fail to analyse them due to non well-foundedness of the intege…