Title: ``An Introduction to the Theory of Rough Paths'' Abstract: The theory of rough paths, developed by Terry Lyons, provides a robust mathematical framework to analyze controlled differential equations driven by irregular signals, including those that are highly oscillatory or…
Title: ``Limit shape of random polygons and lattice polygons: a survey'' Abstract. Assume K is a convex body in the plane and X is a (large) finite subset of K. How many convex polygons are there whose vertices belong to…
Title: ``Linear dependencies, polynomial factors in the Frankl-Furedi forbidden sunflower problem'' Abstract: We call a family of s sets \{F_1, …, F_s\} a sunflower with s petals if, for any distinct i, j \in , one has F_i \cap F_j…