Andreas Gärtner

Fachbereich Mathematik, AG 22
Technische Universität Darmstadt
Schloßgartenstraße 7
64289 Darmstadt


Zimmer: S2|15 215
Tel.: (06151) 16-64538
Fax: (06151) 16-2587
E-Mail: gaertner[at]mathematik.tu-darmstadt.de

 

Research Interests

  • Asymptotics for non-commutative transition operators
  • Fixed point spaces and idempotent transition operators
  • Non-commutative Poisson boundaries

Short CV

since 2009

PhD. research and teaching assistant at the Technische Universität Darmstadt,
Supervisor: Prof. Dr. B. Kümmerer.

2005

Study abroad program at the Queensland University of Technology, Brisbane, Australia.

2002-2008

Diploma studies at the Technische Universität Darmstadt,
Thesis: Recurrent and Transient Projections for Completely Positive Operators,
Supervisor: Prof. Dr. B. Kümmerer.

Conferences & Workshops

2012

LMS Midlands Regional Meeting & Workshop on Quantum Probabilistic Symmetries, Aberystwyth, Wales,
Talk: Recurrence, Transience and Noncommutative Poisson Integrals  (slides).

2011

Non-commutative Harmonic Analysis, 14th workshop, Bedlewo, Poland.

Product Systems and Independence in Quantum Dynamics, Greifswald, Germany.

WIMCS Stochastic Cluster Meeting, Trends in Quantum Probability and Stochastics, Aberystwyth, Wales,
Talk: Idempotent Markov operators.

Quantum Control and Operator Theory Meeting, Aberystwyth, Wales.

2010

Non-commutative Harmonic Analysis, 13th workshop, Bedlewo, Poland.

Publications

  • Ergodic properties of quantum birth and death chains, joint with D. Bücher, B. Kümmerer, W. Reußwig, K. Schwieger, N. Sissouno, preprint 2013.
  • A Coherent Approach to Recurrence and Transience for Quantum Markov Operators, joint with Burkhard Kümmerer, preprint 2012, arXiv:1211.6876 [math.OA].
  • Rekurrenz und Transienz bei vollständig positiven OperatorenDiplomarbeit (thesis), 2008.

 

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