Abstract: The majorization relation plays a significant role in mathematics and science. I will give some background and then discuss an open problem (arising in quantum theory) concerning the probability that two random vectors are comparable in the sense of majorization. I will then present recent progresses based on connections with persistence probabilities and extreme eigenvalues of random matrices.
Based on joint works with Paolo Facchi, Giuseppe Florio and Giovanni Gramegna.
Majorization of random vectors
03.10.2023 11:00 - 12:00
Organiser:
M. Lis
Location:
TU Wien, EI 11 Geodäsie HS, Gußhausstraße 27-29