44 citations · 85 across the 7 of their papers we have counts for
7 papers
Max-semistable extremal behavior of AR(1)-processes connected with Bernoulli convolutions
Peter Kern, Alef Sterk
We consider simple autoregressive processes of type AR(1), whose stationary distribution is supported on a subset of the unit interval and is an affine transformation of a Bernoull…
Max-semistable extreme value laws for autoregressive processes with Cantor-like marginals
Alef E. Sterk
This paper considers a family of autoregressive processes with marginal distributions resembling the Cantor function. It is shown that the marginal distribution is in the domain of…
Fungal tip growth arising through a codimension-1 global bifurcation
T. G. de Jong, A. E. Sterk, H. W. Broer
Tip growth is a growth stage which occurs in fungal cells. During tip growth, the cell exhibits continuous extreme lengthwise growth while its shape remains qualitatively the same.…
Dynamical analysis of a chaos generator
Hamed Ghane, Alef Sterk, Holger Waalkens
Investigating the possibility of applying techniques from linear systems theory to the setting of nonlinear systems has been the focus of many papers. The pseudo linear form repres…
Symmetries in the Lorenz-96 model
Dirk L. van Kekem, Alef E. Sterk
The Lorenz-96 model is widely used as a test model for various applications, such as data assimilation methods. This symmetric model has the forcing and the dimens…
Travelling waves and their bifurcations in the Lorenz-96 model
Dirk L. van Kekem, Alef E. Sterk
In this paper we study the dynamics of the monoscale Lorenz-96 model using both analytical and numerical means. The bifurcations for positive forcing parameter are investigated…
Extreme value laws in dynamical systems under physical observables
Mark P. Holland, Renato Vitolo, Pau Rabassa +2
Extreme value theory for chaotic dynamical systems is a rapidly expanding area of research. Given a system and a real function (observable) defined on its phase space, extreme valu…