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arXiv · 2407.03710

Internal Control of The Transition Kernel for Stochastic Lattice Dynamics

Amirali Hannani·Minh-Nhat Phung·Minh-Binh Tran·Emmanuel Trélat
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Abstract

In [5], we have designed impulsive and feedback controls for harmonic chains with a point thermostat. In this work, we study the internal control for stochastic lattice dynamics, with the goal of controlling the transition kernel of the kinetic equation in the limit. A major novelty of the work is the introduction of a new geometric combinatorial argument, used to establish paths for the controls.

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Amirali Hannani, Minh-Nhat Phung, Minh-Binh Tran, Emmanuel Trélat. 2024-07-04. Internal Control of The Transition Kernel for Stochastic Lattice Dynamics. https://arxiv.org/abs/2407.03710

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