User Lasse Rempe

27 votes

Are the algebraic numbers dense everywhere on the boundary of the Mandelbrot set?

answered Oct 11, 2015 at 21:51

23 votes

Accepted

Analysis of the boundary of the Mandelbrot set

answered Jun 27, 2013 at 11:22

21 votes

Accepted

Which way for reading the proofs?

answered Apr 13, 2015 at 14:30

16 votes

13 months and not even one report. what would you do?

answered Nov 24, 2012 at 17:03

14 votes

Parametrization of the boundary of the Mandelbrot set

answered Dec 8, 2010 at 14:16

14 votes

Accepted

Transcendentality of all irrationals in the Cantor set

answered Nov 28, 2012 at 12:07

14 votes

Countable path-connected Hausdorff space

answered Aug 21, 2015 at 15:00

11 votes

Accepted

Can an "almost injective'' function exist between compact connected metric spaces?

answered Oct 12, 2020 at 12:24

10 votes

Is the area of the Mandelbrot provably computable?

answered Oct 4, 2016 at 14:03

10 votes

complement of a totally disconnected closed set in the plane

answered Apr 27, 2016 at 13:28

10 votes

Why are the Julia sets so simple? (quadratic family)

answered Aug 24, 2016 at 22:42

10 votes

Listing ORCiD in LaTeX papers

answered Aug 24, 2016 at 23:07

9 votes

Accepted

Why are the Julia sets so simple? (quadratic family)

answered Aug 28, 2016 at 11:39

9 votes

Cutting a Julia set into infinitely many pieces at finitely many points

answered Jan 15, 2021 at 17:52

9 votes

Connected but no path-connected components

answered Sep 1, 2015 at 9:40

8 votes

Experimental mathematics leading to major advances

answered Sep 24, 2015 at 11:44

8 votes

Accepted

Is there a way to find regions of depth in the Mandelbrot set other than simply poking around?

answered Jul 27, 2010 at 12:24

8 votes

Topological spaces whose continuous image is always closed

answered May 3, 2016 at 22:34

8 votes

How to solve $f(f(x)) = \cos(x)$?

answered Apr 28, 2020 at 13:52

7 votes

Entire function which diverges along every path

answered Aug 12, 2016 at 21:40

7 votes

Accepted

Is the generalized Baire space complete?

answered Nov 13, 2012 at 21:33

7 votes

Accepted

Is there a reference for "computing $\pi$" using external rays of the Mandelbrot set?

answered Aug 21, 2015 at 21:37

7 votes

Accepted

When is a Newton basin fractal continuously determined by the roots of its polynomial?

answered Aug 9, 2014 at 9:50

7 votes

Failure of Mostow rigidity in dimension 2

answered Nov 2, 2014 at 12:09

6 votes

Accepted

Is there an (almost) dense set of quadratic polynomials which is not in the interior of the Mandelbrot set?

answered Nov 24, 2014 at 13:40

6 votes

Clustering of periodic points for a polynomial iteration of $\mathbb{C}$

answered Oct 26, 2014 at 21:13

6 votes

Accepted

Is there any elementary proof of No wandering domain for polynomials

answered Dec 23, 2014 at 8:30

6 votes

Examples of theorems with proofs that have dramatically improved over time

answered Sep 24, 2015 at 12:43

6 votes

Is an entire function, with nowhere vanishing derivative, always a covering map?

answered Oct 20, 2015 at 14:08

6 votes

Accepted

Hausdorff dimension of Julia sets of quadratics not in the Mandelbrot set.

answered Nov 24, 2012 at 13:00

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118 Answers

Are the algebraic numbers dense everywhere on the boundary of the Mandelbrot set?

Analysis of the boundary of the Mandelbrot set

Which way for reading the proofs?

13 months and not even one report. what would you do?

Parametrization of the boundary of the Mandelbrot set

Transcendentality of all irrationals in the Cantor set

Countable path-connected Hausdorff space

Can an "almost injective'' function exist between compact connected metric spaces?

Is the area of the Mandelbrot provably computable?

complement of a totally disconnected closed set in the plane

Why are the Julia sets so simple? (quadratic family)

Listing ORCiD in LaTeX papers

Why are the Julia sets so simple? (quadratic family)

Cutting a Julia set into infinitely many pieces at finitely many points

Connected but no path-connected components

Experimental mathematics leading to major advances

Is there a way to find regions of depth in the Mandelbrot set other than simply poking around?

Topological spaces whose continuous image is always closed

How to solve $f(f(x)) = \cos(x)$?

Entire function which diverges along every path

Is the generalized Baire space complete?

Is there a reference for "computing $\pi$" using external rays of the Mandelbrot set?

When is a Newton basin fractal continuously determined by the roots of its polynomial?

Failure of Mostow rigidity in dimension 2

Is there an (almost) dense set of quadratic polynomials which is not in the interior of the Mandelbrot set?

Clustering of periodic points for a polynomial iteration of $\mathbb{C}$

Is there any elementary proof of No wandering domain for polynomials

Examples of theorems with proofs that have dramatically improved over time

Is an entire function, with nowhere vanishing derivative, always a covering map?

Hausdorff dimension of Julia sets of quadratics not in the Mandelbrot set.