壁面上保守界面模型的涨落
Fluctuations for a conservative interface model on a wall
摘要：
考虑了（1+1）维硬壁上的有效界面模型，界面与壁面之间的面积守恒。我们证明了高度变量的平衡涨落收敛于具有反射和空间平均守恒的SPDE的解。证明是基于最近的结果与L。Ambrosio和G.具有对数凹不变测度的马氏过程的稳定性。
英文摘要：
We consider an effective interface model on a hard wall in (1+1) dimensions, with conservation of the area between the interface and the wall. We prove that the equilibrium fluctuations of the height variable converge in law to the solution of a SPDE with reflection and conservation of the space average. The proof is based on recent results obtained with L. Ambrosio and G. Savare on stability properties of Markov processes with log-concave invariant measures.
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