R/get_diff_prob_matrix.R
get_diffusion_probability_matrix_from_T.Rd
Description here
get_diffusion_probability_matrix_from_T(Pi, tau) get_diffu_Pt_from_T(Pi, tau) get_diffu_Pt_from_Pi(Pi, tau) get_diffusion_probability_matrix_from_Pi(Pi, tau)
Pi | Transition matrix. We do not use |
---|---|
tau | diffusion time |
\(exp^{-\tau (I - \Pi)}\), exponential of the normalized Laplacian matrix corresponding to the given transition rate matrix (or transition probability matrix of a discrete-time Markov chain).
De Domenico, M. (2017). Diffusion Geometry Unravels the Emergence of Functional Clusters in Collective Phenomena. Physical Review Letters. doi: 10.1103/PhysRevLett.118.168301
Bertagnolli, G., & De Domenico, M. (2020). Diffusion Geometry of Multiplex and Interdependent Systems. arxiv preprint arxiv:2006.13032