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Конференция "Зеркальная симметрия и ее приложения"
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Some phase-transitions and their q-analogs on powers of the quantum dilogarithm S. Okada |
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Аннотация: The quantum dilogarithm has been important object to study in mathematics and physics. We consider phase-transitions on the powers of the quantum dilogarithm, assuming statistical-mechanical interpretations on all of these powers. We discuss the phase-transitions by its multiplicative q-analog. We then state some conjectural positivity of q-polynomials and additive q-analogs of the phase-transitions. This is a work-in-progress. Язык доклада: английский |
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