Dr Tanja Schindler

person

RSFAS

Research School of Finance, Actuarial Studies & Statistics

Position
Post-doctoral Fellow
Email
tanja.schindler@anu.edu.au
Phone number
+61 2 612 57314
Office
Room 4.53, CBE Bld (26C)
Research areas
  • Limit theorems (weak and strong, for dynamical systems and other stochastic processes)
  • Ergodic theory
  • Metrical number theory and other connections between number theory and dynamical systems
  • Thermodynamic formalism
  • Spectral theory of transfer operators
  • Extreme value theory
Biography

10/2016 - ongoing    Postdoctoral fellow, RSFAS, ANU

03/2016- 08/2016    Postdoctoral fellow, Bielefeld University, Germany

02/2016                        Postdoctoral fellow, University of Bremen, Germany

04/2012 - 10/2015   PhD in Mathematics, University of Bremen, Germany

10/2007 - 11/2011   Diplom in Mathematics (similar Master of Science), University of Bremen, Germany

08/2009 - 03/2010   Exchange term (Erasmus), Lund University, Sweden

10/2006 - 08/2009   Bachelor of Sience in Biology, University of Bremen

Research publications

Publications in reverse order

Scarling Properties of the Thue-Morse measure,
with Michael Baake, Philipp Gohlke, Marc Kesseböhmer, arxiv.org/abs/1810.06949
to appear in Discrete and Continuous Dynamical Systems Series A, Volume 39, Number 7, July 2019
DOI:10.3934/dcds.2019168

Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean,
with Marc Kesseböhmer, arxiv.org/abs/1706.07369
to appear in Stochastic Processes and their Applications
DOI: 10.1016/j.spa.2018.11.015

Small time convergence of subordinators with regularly or slowly varying canonical measure,
with Ross Maller, arxiv.org/abs/1806.09763
to appear in Stochastic Processes and their Applications
DOI: 10.1016/j.spa.2018.11.016

Strong laws of large numbers for intermediately trimmed sums of i.i.d. random variables with infinite mean,
with Marc Kesseböhmer, Journal of Theoretical Probability, Dec 2017,
DOI:10.1007/s10959-017-0802-0.


Generalized Strong Laws of Large Numbers for Intermediately Trimmed Sums for  Non-negative Stationary Processes,
(PhD Thesis), https://elib.suub.uni-bremen.de/peid=D00104900.


Preprints

Mean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tails
Preprint, with Marc Kesseböhmer, arXiv.org/abs/1903.09337

Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type,
Preprint, with Marc Kesseböhmer, arxiv.org/abs/1901.04478

Trimmed sums for observables on the doubling map,
Preprint, arxiv.org/abs/1810.03223

Limit theorems for counting large continued fraction digits,
Preprint, with Marc Kesseböhmer, arxiv.org/abs/1604.06612

Research engagement and outreach

SSAI Conucil member

NECTAR custodian

Teaching

Term 1 2019: Special interest course "Introduction to Ergodic theory"

Term 1 2018: Special interest course "Introduction to Ergodic theory"