ON THE DIMENSION OF SELF-SIMILAR SETS

By Károly Simon, Boris Solomyak. 2002

59 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6e7b077bc55950c6e3f9bf4ed171ebfdfef82fcb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. T. Jordan
2. Mark Pollicott
3. Károly Simon

In Mathematical Physics

1. T. Jordan
2. Mark Pollicott
3. Károly Simon
4. Nikita Sidorov
5. David S. Broomhead
6. James Montaldi
7. Vilmos Komornik
8. Pablo Shmerkin

In Statistical and Nonlinear Physics

1. T. Jordan
2. Mark Pollicott
3. Károly Simon
4. Nikita Sidorov

Citations in the corpus

• Golden gaskets: variations on the Sierpiński sieve (2003, background): “It has been pointed out [26] that the upper bound 1/3 can be replaced by 1/2, but that the theorem fails if the upper bound is replaced by 1/2 + ε for any ε > 0 [24].”
• Hausdorff Dimension for Randomly Perturbed Self Affine Attractors (2007, methodology): “Fat Sierpiński gaskets were one of the examples used in [17] to show that Theorem 1 does not extend to contractions bigger than 1 2 .”