Speaker: Qihang Lin (Dept. of Business Analytics)

Title: The Ces`aro operator: shift semigroups and invariant subspaces Abstract: Despite the fact that one of the most classical transformations of sequences is the Ces`aro operator C, there are still many questions about it unsettled. In the seventies, Kriete and Trutt proved the striking result that the Ces`aro operator is subnormal, namely, C has a normal extension. Nonetheless, it remains unknown the description of the closed invariant subspaces of C. In this talk, we will discuss the...

Title: Universal properties of probability distributions for Rydberg atoms arrays.   Abstract: The size of the Hilbert space of quantum lattice models grows exponentially with their spatial size. A large majority of the states have very low probabilities. Their large number may compensate their low probability if they can contribute coherently to some observables. We address the question of the contributions of low probability states to  the entanglement entropy and mutual information of...

Speaker: Palle Jorgensen (Dept. of Mathematics)