Mirzaev I & Gunawardena J (2013) Laplacian dynamics on general graphs. Bull Math Biol, in press. doi:10.1007/s11538-013-9884-8.I. Mirzaev, J. Gunawardena, "Laplacian dynamics on general graphs", Bull Math Biol,
The dynamics of zero, first, and second order Kalman filters are analysed to track good and accelerated wear. In this case, an appropriate monotonic feature must be used to train the models. Instead of relying on the absolute value of the condition monitoring feature, it uses the dynamic ...
It deals with the notion of Levy measures that play a fundamental role.Fractional Dynamics on Networks and Latticesdoi:10.1002/9781119608165.ch2Thomas MichelitschAlejandro Pérez RiascosBernard ColletAndrzej NowakowskiFranck Nicolleau
Finally, subsequent analyses can also help in shedding light on the interplay between structure and dynamics48 through the analysis of specific RG flows and emergent fixed points for multiple dynamical models. Methods Statistical physics of information network diffusion...
Then, based on the spectra we consider the dynamics of networks, namely, the structural average of the mean monomer displacement under applied constant force and the mechanical relaxation moduli and the dynamics on networks, exemplified through the fluorescence depolarization. Finally, we summarize and...
nonlinear dynamicsisovolumic relaxationsystolic-diastolic couplingExisting approaches to analyzing the asymptotics of graph Laplacians typically assume a well-behaved kernel function with smoothness assumptions. We remove the smoothness assumption and generalize the analysis of graph Laplacians to include ...
[22]). Therefore, owing to the choice ofαand the graphγ, this equation may arise a variety of different situations and it possess a wide spectrum of applications, for instance, in fluid dynamics, soil science and filtration, see [11] and [25]. Observe that, forp=2, other typical ...
Similar to the Fourier eigenmodes of the ordinary Laplacian operator in spatially extended systems, the Laplacian eigenvectors provide natural "coordinates" for describing the dynamics on networks. A remarkable property of the Laplacian eigenvectors on random networks is their localization with respect to...
This type of operators arises in a quite natural way in many different applications, such as, continuum mechanics, phase transition phenomena, population dynamics and game theory, as they are the typical outcome of stochastically stabilization of Lévy processes, see [4], [9], [20], [23]. ...
While Laplacian dynamics have been intensely studied for graphs, corresponding notions of Laplacian dynamics beyond the node-space have so far remained largely unexplored for simplicial complexes. In particular, diffusion processes such as random walks and their relationship to the graph Laplacian which ...