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Community structure has been found to exist ubiquitously in many different kinds of real world complex networks. Most of the previous literature ignores edge directions and applies methods designed for community finding in undirected networks to find communities. Here, we address the problem of… |
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A general methodology, which consists in deriving two-dimensional finite-difference schemes which involve numerical fluxes based on Dirichlet-to-Neumann maps (or Steklov-Poincare operators), is first recalled. Then, it is applied to several types of diffusion equations, some being weakly… |
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The motion of a massive test particle in a Schwarzschild spacetime surrounded by a
perfect fluid with equation of state $p_0= w \rho_0$ is investigated.
Deviations from geodesic motion are analyzed as a function of the parameter
$w$, ranging from $w=1$ which corresponds to the case of massive… |
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Let $q>1$. Initiated by P. Erd\H os et al. in \cite{ErdJooKom1}, several authors
studied the numbers $l^m(q)=\inf \{y\ :\ y\in\Lambda_m,\ y\ne 0\}$,
$m=1,2,\dots$, where $\Lambda_m$ denotes the set of all finite sums of the form
$y=\eps_0 + \eps_1 q + \eps_2 q^2 + \dots + \eps_n q^n$
with… |
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On the occasion of the 700th centenary of the death of Dante Alighieri, medium wave infrared imaging analysis of illuminations of the XIV-century code of the Divina Commedia (MS. 1102), hosted in the Biblioteca Angelica in Rome, was performed and discussed. The investigation was carried out by… |
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The angle of directional change of tracer trajectories in rotating Rayleigh-Benard convection is studied as a function of the time increment tau between two instants of time along the trajectories, both experimentally and with direct numerical simulations. Our aim is to explore the geometrical… |
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We present high-resolution numerical simulations of convection in multiphase flows (boiling) using a novel algorithm based on a lattice Boltzmann method. We first study the thermodynamical and kinematic properties of the algorithm. Then, we perform a series of 3D numerical simulations changing the… |
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The classical smoothing data problem is analyzed in a Sobolev space under the assumption of white noise. A Fourier series method based on regularization endowed with Generalized Cross Validation is considered to approximate the unknown function. This approximation is globally optimal, i.e., the… |
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This paper considers a Multiple Objective variant of the Critical Disruption Path problem to extend its
suitability in a range of security operations relying on path-based network interdiction, including flight pattern
optimisation for surveillance. Given a pair of nodes s and t from the network to… |
