5 problems

Let $c{\lambda}$ and $c{\phi}$ be regularly varying random variables, with tail exponents $calpha$ and $cbeta$, respectively. Let $A$ and $B$ be random matrices in general position,…

Scale-free infinity-PageRank conjecture. If $d_i\sim X$ where $X$ is a regularly varying random variable, then $PR_\infty(i)$ will also be scale-free.

Let $\mathbb{G}_n$ and the uniformly chosen vertices $U_{n,1},U_{n,2}$ be as in Theorem … , there is a constant $\varepsilon_{\ast}\in(0,1)$ depending on the model parameters such…

Let $X$ be a heavy-tailed stable random matrix with unitary invariance, meaning that its eigenvalues and eigenvectors are uncorrelated. Suppose that the largest eigenvalues are con…

Let $X_1,\ldots,X_L$ be independently (not necessarily identically) distributed random matrices with heavy tails and unitary invariance, meaning that their eigenvalues and eigenvec…