# Knobbly but nice

@article{Dobbs2021KnobblyBN, title={Knobbly but nice}, author={N. Dobbs}, journal={Ergodic Theory and Dynamical Systems}, year={2021}, volume={41}, pages={2016 - 2022} }

Our main result states that, under an exponential map whose Julia set is the whole complex plane, on each piecewise smooth Jordan curve there is a point whose orbit is dense. This has consequences for the boundaries of nice sets, used in induction methods to study ergodic and geometric properties of the dynamics.

#### References

SHOWING 1-10 OF 17 REFERENCES

Nice sets and invariant densities in complex dynamics

- Mathematics
- Mathematical Proceedings of the Cambridge Philosophical Society
- 2010

A connecting lemma for rational maps satisfying a no-growth condition

- Mathematics
- Ergodic Theory and Dynamical Systems
- 2007