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We consider a weakly nonlinear system of the form (I + phi(x)A)x = p, where phi(x) is a real function of the unknown vector x, and (I + phi(x)A) is an M-matrix. We propose to solve it by means of a sequence of linear systems defined by the iteration procedure (I + phi(x(r))A)x(r + 1) = p, r = 0, 1… |
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We consider a simple exchangeable model, which accounts for heterogeneity and dependence. Based on this model, we show how, and in which sense, situations of negative aging arise in a natural way from conditions of heterogeneity among items. |
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The precession of a test gyroscope along stable bound equatorial plane orbits around a Kerr black hole is analyzed, and the precession angular velocity of the gyro's parallel transported spin vector and the increment in the precession angle after one orbital period is evaluated. The parallel… |
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The motion of a particle in the
Tolman metric generated by a photon gas source is discussed.
Both the case of geodesic motion and motion with nonzero friction, due to
photon scattering effects, are analyzed.
In the Minkowski limit, the particle moves along a straight line segment with a… |
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We consider a geometric motion associated with the minimization
of a curvature dependent functional, which is related to the Willmore
functional. Such a functional arises in connection with the
image segmentation problem in computer vision theory.
We show by using formal asymptotics that the… |
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We consider an inverse problem which arises in the framework of identification of doping profiles for semiconductor devices, based on current measures for varying voltage. We set formally the inverse
problem, and study and discuss the main properties of the resulting problem. |
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We study the initial-boundary value problem (Formula presented.) with measure-valued initial data. Here ? is a bounded open interval, ?(0)=?(?)=0, ? is increasing in (0,?) and decreasing in (?,?), and the regularising term ? is increasing but bounded. It is natural to study measure-valued solutions… |
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We report the results of the first systematic Lagrangian experimental investigation in a previously unexplored regime of very light (air bubbles in water) and large (D/? 1) particles in turbulence. Using a traversing camera setup and particle tracking, we study the Lagrangian acceleration… |
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This paper presents an innovative approach to maximally disconnect a given network. More specifically, this work introduces the concept of a Critical Disruption Path, a path between a source and a destination vertex whose deletion minimizes the cardinality of the largest remaining connected… |