# Julia set

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2018

2018

- 2018

We construct a transcendental entire function whose Julia set has locally finite 1-dimensional measure, hence Hausdorff dimensionâ€¦Â (More)

Is this relevant?

2011

2011

- 2011

Bodil Branner and John Hubbard produced the first extensive study of iterated complex maps for cubic polynomials in Picard orbitâ€¦Â (More)

Is this relevant?

2009

2009

- 2009

We consider the basilica Julia set of the polynomial P (z) = z âˆ’ 1 and construct all possible resistance (Dirichlet) forms, andâ€¦Â (More)

Is this relevant?

2006

2006

- ArXiv
- 2006

Polynomial Julia sets have emerged as the most studied examples of fractal sets generated by a dynamical system. Apart from theâ€¦Â (More)

Is this relevant?

2003

2003

- 2003

In this paper, we give a proof of Sullivanâ€™s complex bounds for the Feigenbaum quadratic polynomial and show that the Julia setâ€¦Â (More)

Is this relevant?

Highly Cited

1998

Highly Cited

1998

- 1998

It is shown that the boundary of the Mandelbrot set M has Hausdorff dimension two and that for a generic c âˆˆ âˆ‚M , the Julia setâ€¦Â (More)

Is this relevant?

1997

1997

- 1997

It is proved that non-exceptional rational functions f and g on the Riemann sphere have the same measure of maximal entropy iiâ€¦Â (More)

Is this relevant?

1996

1996

- 1996

Let ^ be the conformal isomorphism from the complement of the unit disc to the complement of the Mandelbrot set M. We study theâ€¦Â (More)

Is this relevant?

Highly Cited

1993

Highly Cited

1993

- 1993

KP = { z âˆˆ C | the sequence P â—¦k(z) is bounded }. We will write Pc(z) = z2 + c, and Kc, etc., when discussing quadraticâ€¦Â (More)

Is this relevant?

Highly Cited

1987

Highly Cited

1987

- 1987

We show the Julia set of A sin(z) has positive area and the action of A sin(z) on its Julia set is not ergodic; the Julia set ofâ€¦Â (More)

Is this relevant?