[PDF] Top 20 Mean-field diffusive dynamics on weighted networks

... of diffusive systems when the weights are not excessively strong, it fails in the regime of large ...non mean-field behavior observed in several dynamical processes on binary net- works [26, 29, ... See full document

... The dynamics of such processes that are also time-homogeneous can be determined by a single rate matrix whose entries encode transition rates among ...Bayesian networks (CTBNs) provide an elegant and ... See full document

... evolutionary dynamics [1,2] is the study of the mechanisms ruling the formation of consensus in an ini- tially disordered population, in situations implying the opinion about a certain issue, the intention of ... See full document

... ing dynamics of the neurons in the network, where the transition probability satisfies a differential equation, the master ...static mean-field study of multi-population network activity was ... See full document

... origin. The latter process represents the fact that at a capture zone boundary the net flux of monomers is zero. Simulations start with no monomers in the capture zone, but the number of monomers rises as the simulation ... See full document

... by dynamics describing the time evolution of the density of players on that ...These dynamics take the form of a classical forward Kolmogorov Ordinary Differential Equation ... See full document

... wireless networks with a large num- ber of ...corresponding mean field game is well defined and studied in detail for special ...how mean field games can be applied to the problem under ... See full document

... that is used to model collisionless plasmas with negligible magnetic effects. In truth, plasmas are made of several species of charged particles (electrons and ions); thus in reality the description of a plasma would ... See full document

... Also note that since the function f is bounded and the cost functional is strictly convex in x and u, the existence and uniqueness of a solution to the above is a direct consequence of the theorem in (Øksendal 2003) ... See full document

... synthetic networks, we have illustrated that the mean degree of first-neighbors d is a good indicator of the accuracy of MF theories for a variety of dynamical processes on net- ...the dynamics under ... See full document

... In fact, properties like convexity and concavity are very much important from analysis point of view. The convexity may lead to minimization of the measure under certain conditions in a prescribed domain. In case of ... See full document

... have mathematical expressions characterizing the behaviour of topo- logical properties under the null model considered. In this paper we extend those results, in order to propose new mathematical defini- tions of ... See full document

... In this paper, motivated by the aforementioned discussion, we extend (1.4)–(1.7) to the weighted arithmetic–geometric mean. In order to prove our results, we show a new opera- tor weighted ... See full document

... Abstract We research the simultaneous approximation problem of the higher-order Hermite interpolation based on the zeros of the second Chebyshev polynomials under weighted Lp-norm.. The [r] ... See full document

... It is our goal in this note to give another proof of Theorem 1.1 for the case p = 2, following an approach of Wang and Yuan in [13], which interprets the left-hand side of (1.1) when p = 2 as a quadratic form so that ... See full document

... In this paper, we investigate some new sequence spaces, which naturally emerge from the concepts of almost convergence and generalized weighted mean. The object of this paper is to introduce the new ... See full document

... where mean-field game models are considered with one single major player and sta- tistically identical minor players, and the propagation of chaos was proved for the minor players conditioned on the major ... See full document

... linear evolution of the statistics as given by the covariance forecast (Eq. 3). Put differently, the PKF forecast reproduces the tangent linear covariance dynamics occurring in the ex- tended Kalman filter. Since ... See full document

... The idea consists in considering a nite dimensional approximation of the original state space diusive model and formulating an op- timisation problem of a least square error type.. To i[r] ... See full document

... a mean field approach; to expand our methodology to a non mean field regime we would have to explicitly include the space by using differential partial equations or cellular automata models ... See full document