Explores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.
Discusses finding d-regular graphs with specific eigenvalue properties and the existence of Ramasugan sequences for d-opt prime numbers.
Explores pseudo randomness in graphs using eigenvalues and polynomials, emphasizing the significance of bunched roots and common interlacers.
Explores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
Explores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
