Folding for Random Walks: Simple or Branching.
4 Weeks, May-June 2023.
Amine Asselah
Organiser:Prof. Lorenzo Taggi
Dates: 11am-1pm, 29th of May, and in June: 1, 8, 9, 12,15,19, 22.
Place: Roma I, Aula B.
Tentative Program, Roma 2023
Lesson 1, 29th of May
Lesson 2, 1st of June
Lesson 3, 8th of June
Lesson 4, 9th of June
Lesson 5, 12th of June
Lesson 6, 15th of June
Lesson 7, 19th of June
Lesson 8, 22th of June
Papers from where lessons are taken on Random Walks
Moderate deviation for the range of a random walk: path properties
with B. Schapira, Les Annales Scientifiques de l'ENS, 50, fascicule 3 (2017), 755-786
On page 20, in the Proof of Proposition 4.1, one finds a decomposition in excursions.
Extracting subsets maximizing capacity, and folding of random walks
with B. Schapira, To appear in Annales S. de l'ENS
This paper contains the optimal estimates we presented.
Large Deviations for Intersections of Random Walks
with B. Schapira, To appear in CPAM
This paper contains the motivation of our first two weeks.
Conceptual proofs by J.Geiger of classical results on critical trees.