2,232 research outputs found
An H-theorem for the Brownian motion on the hyperbolic plane
We prove an theorem for the Brownian motion on the hyperbolic plane with
a drift, as studied by Comtet and Monthus; the entropy used here is not the
Boltzmann entropy but the R\'enyi entropy, the parameter of which being related
in a simple way to the value of the drift.Comment: Better versio
Jensen Shannon divergence as a measure of the degree of entanglement
The notion of distance in Hilbert space is relevant in many scenarios. In
particular, distances between quantum states play a central role in quantum
information theory. An appropriate measure of distance is the quantum Jensen
Shannon divergence (QJSD) between quantum states. Here we study this distance
as a geometrical measure of entanglement and apply it to different families of
states.Comment: 5 pages, 2 figures, to appear in the special issue of IJQI "Noise,
Information and Complexity at Quantum Scale", eds. S. Mancini and F.
Marcheson
Adapting to Conflict: Rhetorical Refusals of Scientific Publication Norms
In the early decades of the 21st century, the central role of technical writing to organizational communication during crisis and conflict events is becoming increasingly apparent. Meanwhile, the documentation involved when currently publishing studies of such communication suggests a negotiation site for expectations and genre conventions within scientific discourse
Adapting to Conflict: Rhetorical Refusals of Scientific Publication Norms
In the early decades of the 21st century, the central role of technical writing to organizational communication during crisis and conflict events is becoming increasingly apparent. Meanwhile, the documentation involved when currently publishing studies of such communication suggests a negotiation site for expectations and genre conventions within scientific discourse
On a classical spectral optimization problem in linear elasticity
We consider a classical shape optimization problem for the eigenvalues of
elliptic operators with homogeneous boundary conditions on domains in the
-dimensional Euclidean space. We survey recent results concerning the
analytic dependence of the elementary symmetric functions of the eigenvalues
upon domain perturbation and the role of balls as critical points of such
functions subject to volume constraint. Our discussion concerns Dirichlet and
buckling-type problems for polyharmonic operators, the Neumann and the
intermediate problems for the biharmonic operator, the Lam\'{e} and the
Reissner-Mindlin systems.Comment: To appear in the proceedings of the workshop `New Trends in Shape
Optimization', Friedrich-Alexander Universit\"{a}t Erlangen-Nuremberg, 23-27
September 201
Quadratic B-Spline Surfaces with Free Parameters for the Interpolation of Curve Networks
In this paper, we propose a method for constructing spline surfaces interpolating a B-spline curve network, allowing the presence of free parameters, in order to model the interpolating surface. We provide a constructive algorithm for its generation in the case of biquadratic tensor product B-spline surfaces and bivariate B-spline surfaces on criss-cross triangulations. Finally, we present graphical results
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