14 citations · 19 across the 6 of their papers we have counts for
3 papers · 1 filter
Superstable Geometry in Triadic Percolation
Fatemeh Aghaei, Abbas Ali Saberi, Holger Kantz +1
Triadic percolation turns bond percolation into a dynamical problem governed by an effective one-dimensional unimodal map. We show that the geometry of superstable cycles provides…
Multifractional Brownian motion with telegraphic, stochastically varying exponent
Michał Balcerek, Samudrajit Thapa, Krzysztof Burnecki +4
The diversity of diffusive systems exhibiting long-range correlations characterized by a stochastically varying Hurst exponent calls for a generic multifractional model. We present…
The stabilizing role of multiplicative noise in non-confining potentials
Ewan T. Phillips, Benjamin Lindner, Holger Kantz
We provide a simple framework for the study of parametric (multiplicative) noise, making use of scale parameters. We show that for a large class of stochastic differential equation…