Dimitrios Ntalampekos (pronounce:
Office: MS 3975
E-mail: dimitrisnt math dot ucla dot edu
My primary research interests lie in the field of analysis on metric spaces. More specifically, my research focuses on uniformization and rigidity problems in metric spaces, as well as, on the study of the quasiconformal geometry of fractal sets. I am also interested in applications to complex dynamics and to fractals arising in probability.
Papers and preprints:
- A removability theorem for Sobolev functions and detour sets (arXiv preprint).
- Semi-hyperbolic rational maps and size of Fatou components (arXiv preprint).
- Harmonic functions on Sierpiński carpets. In preparation, draft available.
- Uniformization of Sierpiński carpets by square carpets. In preparation, draft available.
Talks and conferences
Throne of Zeus peak, Mount Olympus, Greece