Nicolas Privault
Division of Mathematical Sciences
School of Physical and Mathematical Sciences
Nanyang Technological University
 
June 21, 2019, 2 pm-4 pm (room 1.9, VII)

1 – Combinatorial background
1.1 – Set partitions, integer partitions and Möbius Inversion
1.2 – Faà di Bruno formula and Polynomials

June 26, 2019, 2 pm-4 pm (room 1.9, VII)
2 – Combinatorial background. Poisson random measures
2.1 – Combinatorics of Moments and Cumulants
2.2 – Analysis of Poisson random measures

June 28, 2019, 2pm-4 pm (room 1.9, VII)
3 – Poisson random measures
3.1 – Operators on Poisson random measures
3.2 – Moments of Poisson random measures

July 02, 2019, 2 pm-5 pm (room 1.9, VII)
4 – Application to stochastic geometry
4.1- Invariance and random transformations
4.2 – Distribution of k-hops in random graphs
4.3 – Probability approximation on random graphs