250124 VO Percolation (2012W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: English

Lecturers

Jiri Cerny

Classes (iCal) - next class is marked with N

    
    Tuesday
    02.10.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    09.10.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    16.10.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    23.10.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    30.10.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    06.11.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    13.11.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    20.11.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    27.11.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    04.12.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    11.12.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    18.12.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    08.01.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    15.01.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    22.01.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
    
    Tuesday
    29.01.
    09:00 - 11:00
    Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14

Information

Aims, contents and method of the course

- Definition of percolation
- FKG and BK inequalities
- Harris-Kesten Theorem
- Menshikov's Theorem on the subcritical percolation
- uniqueness of the infinite cluster in the supercritical regime
- Smirnov's Theorem on the conformal invariance of the critical percolation

Assessment and permitted materials

mündliche Prüfung

Minimum requirements and assessment criteria

Gain familiarity with the methods of the percolation theory and learn its most important results.

Examination topics

Reading list

- B. Bollobas, O. Riordan: Percolation, CUP 2006
- G. Grimmett: Percolation 2ed, Springer 1999

Association in the course directory

MSTV

Advanced courses, specialization "Stochastics"

25.4. Master Programme ➡ 4.7. Specialization "Stochastics and dynamical systems"

Last modified: Fr 01.10.2021 00:23