Sascha Troscheit
- Research Unit of Mathematical Sciences
- University of Oulu
- P.O. Box 8000
- FI-90014, Finland
- Office: MA334
- Tel.: +358 (0)29 448 1412
- E-mail: [email protected]
- E-mail: [email protected]
Research Interests: My research focusses on
random fractal geometry, branching processes, symbolic dynamics,
dimension theory, and their interplay with number theory.
I have worked with stochastic self-similarity, gauge functions for stochastic
attractors, and study the fine structure of sets and measures. In particular, I have
studied the Assouad dimensions of random processes and determined phase transitions
on their small scale behaviour.
Most recently, I have looked into the Brownian continuum tree and Brownian map and
applied dimension theory to study quasi-symmetric embeddings.
I am currently working on the connection between analytical properties of real-valued
functions and their associated continuum trees.
One World Fractals
Together with Jonathan Fraser, Thomas Jordan, Natalia Jurga, Antti Käenmäki, and
Henna Koivusalo I am organising a bimestrial hybrid seminar in fractal geometry and adjacent
fields.
More information can be found on its webpage here.
Self-affine & overlapping IFSs Workshop 2022:
From 10 May to 12 May, Thomas Jordan, Henna Koivusalo, and I hosted a workshop
on "Self-affine and overlapping iterated function systems" at the University of
Bristol. Click here to get to the workshop
webpage.
Other Random Interests: I am an active long distance sailor (mostly single-handed) and have sailed
most of the British, German, Dutch, Belgian and French Atlantic coast with several North Sea crossings.
I like tinkering with electronics and command a small army of Arduinos.
Other trivia. My Erdős number is 3: Troscheit—K.
Hare*—Shallit—Erdős. (* valid route with both Kathryn and Kevin
Hare)
My Einstein number is 5: Troscheit—Neukirch—Kiessling—Lebowitz—Bergmann—Einstein.
My Bacon number is 4: Troscheit(—*)Lustig—Brennicke—Gampu—Bacon (*uncredited extra)
And my Sabbath number is 4: S. Troscheit (me)—S. Troscheit (my dad)—Roy
Black—The Muppets—Black Sabbath (under a loose definition of musical
collaboration)
which makes my Erdős-Bacon-Sabbath number 11.