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math-ph2025
An elementary approach to Wehrl-type entropy bounds in quantitative form
Fabio Nicola, Federico Riccardi, Paolo Tilli
We consider the problem of the stability (with sharp exponent) of the Lieb--Solovej inequality for symmetric coherent states, which was obtained only recently by the author…
math.FA2025
The isoperimetric inequality for partial sums of Toeplitz eigenvalues in the Fock space
Fabio Nicola, Federico Riccardi, Paolo Tilli
We prove that, among all subsets having circular symmetry and prescribed measure, the ball is the only maximizer of the sum of the first eigenvalues ($K\g…