7 papers
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…
Change point detection in ERA5 ground temperature time series
Fatemeh Aghaei A., Ewan T. Phillips, Holger Kantz
We analyze the ERA5 reanalysis 2-meter temperature time series on all land grid points using change point analysis. We fit two linear slopes to the data with the constraint that th…
Multifractional Brownian motion with telegraphic, stochastically varying exponent
MichaÅ 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…
Singularity of Levy walks in the lifted Pomeau-Manneville map
Samuel Brevitt, Alexander Schulz, Dominic Pegler +2
Since groundbreaking works in the 1980s it is well-known that simple deterministic dynamical systems can display intermittent dynamics and weak chaos leading to anomalous diffusion…
Utilizing long memory and circulation patterns for stochastic forecasts of temperature extremes
Johannes A. Kassel, Holger Kantz
Long memory and circulation patterns are potential sources of subseasonal-to-seasonal predictions. Here, we infer one-dimensional nonlinear stochastic models of daily temperature w…
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…