3 papers
math.CA2025
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…
math.AP2024
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…
math.DS2020
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…