Some Open Problems

These problems are those I have encounted in my own research or suggested by mathematicians I know. The list will be expanded …

  1. Classify multi-dimensional natural exponential families (NEF) by their variance mappings; reference paper. This problem was suggested by Prof. Gerard Letac, to whom I am grateful for his invaluable help.

  2. Prove the conjecture on tail index and edge universality for sample covariance matrices; reference paper

  3. Find the solution to a second-order partial differential equation (PDE) involving the Laplace transform of a finite measure; go to the discussion of this linked paper

  4. Characterize the maximal zero-free domain of the Lapalce transform of a finite measure; link to the problem

Back to my homepage