Prof. Dr. René L. Schilling
Vorlesungen / lecture courses
Stochastic Processes


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Levy-Khinchine Formel


Sommersemester / summer term 2012

  • Ort / venue: Willersbau Zellescher Weg 12-14
  • Umfang / contact hours: 4+2
  • Zeit / time:
    Di / Tue 5. DS (14:50-16:20), WIL A 124
    Mi / Wed 5. DS (14:50-16:20), WIL A124
  • Übungen / Tutorials:
    Do / Thu 3. DS (11:10-12:40), WIL C 103
  • Beginn / begin: 1 Semesterwoche / 1st week of term
  • Niveau / level: ab 6. Semester / 3rd year +
  • Unterrichtssprache / language: Deutsch on request: English

  • Curriculum (indicative): An introduction to Brownian motion (and more general Markov processes), sample path properties, generators & semigroups, and stochastic calculus.

  • Prerequisites: A course in mathematical probability, in particular (discrete) martingales.

  • Language option: The course will be offerecd in english upon request (i.e. Dutch model: if any person in the audience does not speak German, the course will be held in English). Please contact me before the term starts.

  • Literature:
    D. Revuz, M. Yor: Continuous Martingales and Brownian Motion, Springer 1999.
    R. Schilling, L. Partzsch: Brownian motion. An introduction to stochastic processes. To appear.
    Wentzell, A.D.: Theorie zufälliger Prozesse. Birkhäuser 1979.
  • Examinations: This course is an eligible topic in any Diploma examination in pure or applied mathematics.