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math-ph2020
Berezin-Toeplitz quantization and the least unsharpness principle
Louis Ioos, David Kazhdan, Leonid Polterovich
We show that compatible almost-complex structures on symplectic manifolds correspond to optimal quantizations.
math-ph2018
Spectral aspects of the Berezin transform
Louis Ioos, Victoria Kaminker, Leonid Polterovich +1
We discuss the Berezin transform, a Markov operator associated to positive operator valued measures (POVMs), in a number of contexts including the Berezin-Toeplitz quantization, Do…