5 papers
Singular functions obtained via random function iteration
Cristian Mitrea, Alef E. Sterk
In this paper we consider a discrete-time dynamical system on the real line by random iteration of two functions. These functions are assumed to satisfy appropriate monotonicity co…
Well-posedness results for general reaction-diffusion transport of oxygen in encapsulated cells
Yuma Nakamura, Kharisma Surya Putri, Alef Sterk +1
In this paper, we provide well-posedness results for nonlinear parabolic PDEs given by reaction-diffusion equations describing the concentration of oxygen in encapsulated cells. Th…
Reaction-diffusion transport into core-shell geometry: Well-posedness and stability of stationary solutions
T. G. de Jong, G. Prokert, A. E. Sterk
We investigate a nonlinear parabolic reaction-diffusion equation describing the oxygen concentration in encapsulated pancreatic cells with a general core-shell geometry. This geome…
Generalized Fibonacci numbers and extreme value laws for the Rényi map
N. B-S. Boer, A. E. Sterk
In this paper we prove an extreme value law for a stochastic process obtained by iterating the Rényi map , where we assume that is an integer. Haiman (2…
Quantitative recurrence statistics and convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems
Mark Holland, Pau Rabassa, Alef Sterk
For non-uniformly hyperbolic dynamical systems we consider the time series of maxima along typical orbits. Using ideas based upon quantitative recurrence time statistics we prove c…