Refine search
Actions for selected content:
1 results
MULTIFRACTAL ANALYSIS OF THE CONVERGENCE EXPONENTS FOR THE DIGITS IN d-DECAYING GAUSS-LIKE DYNAMICAL SYSTEMS
- Part of
-
- Journal:
- Journal of the Australian Mathematical Society / Volume 120 / Issue 3 / June 2026
- Published online by Cambridge University Press:
- 02 March 2026, pp. 424-443
-
- Article
-
- You have access
- HTML
- Export citation
-
Let
$\{a_n(x)\}_{n\geq 1}$ be the sequence of digits of 
$x\in (0,1)$ in an infinite iterated function system with polynomial decay of the derivative. We first study the multifractal spectrum of the convergence exponent, defined by the sequence of digits 
$\{a_n(x)\}_{n\geq 1}$ and the weighted products of distinct digits with finite numbers, and then calculate the Hausdorff dimensions of the intersections of sets defined by the convergence exponent of the weighted product of distinct digits with finite numbers and sets of points whose digits are nondecreasing in such iterated function systems.
