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:
oneworldfractals.org.
Older Conferences & Workshops:
To view the webpages of conferences and workshops that I have (co-)organised in the past
please see the links page. It has a full listing of past events' webpages
for "posterity".
Other Interests and "Fun Facts":
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. My last year of PhD was spent afloat, writing up my thesis on a
sailing boat.
I like tinkering with electronics, programming, and command a small army of Arduinos. My
most recent "achievement" is a fully working solid-state fridge.
Other trivia. My Erdős number is 3: Troscheit—
\(x\) Hare*—Shallit—Erdős (where \(x \in\{K. E., K. G.\}\)) and
Troscheit—Falconer—Guy—Erdős.
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 father)—Roy
Black—The Muppets—Black Sabbath (under a loose definition of musical
collaboration)
which makes my Erdős-Bacon-Sabbath number 11.