Random variables $X,Y$ such that $E(X|Y)=E(Y|X)$ a.s.
Let $ X$ and $ Y$ be random variables such that $ E(|X|), E(|Y|)<\infty$ and $ E(X|Y)=E(Y|X)$ a.s. Then is it true that $ X=Y$ a.s. ? If this is not true in general, what happens if we also assume...
View ArticleWIll a proliferating 3D random walk a.s. revisit the origin?
The concept of a “proliferating random walk” on a lattice is that at any time $ t \in \Bbb N \cup 0$ , there is some set consisting of at least one particle, each of which is on its own lattice point....
View Article
More Pages to Explore .....
