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Геометрическая теория оптимального управления
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Asymptotics for the heat kernel and related topics in sub-Riemannian geometry on step-two groups Ye Zang School of Mathematical Science, Fudan University |
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Аннотация: In this talk I will present how to obtain the small-time heat kernel asymptotic in the setting of step-two groups, where an explicit formula of the heat kernel in the form of oscillatory integral is known. Consequently, a complete answer to the long-standing Gaveau–Brockett open problem is also provided by the Varadhan's formula. Furthermore, I will show the relation between the heat kernel with the normal geodesics. This talk is based on a joint work with Prof. Hong-Quan Li (Fudan University). Website: https://join.skype.com/LMie1oQmGQy0 |