论文标题

通过小球估计,不规则性的另一个概念

Yet another notion of irregularity through small ball estimates

论文作者

Romito, Marco, Tolomeo, Leonardo

论文摘要

我们通过路径的占用度量来控制小球大小的生长,引入了一种新的不规则路径的概念。该概念确保了占领度量的规律性,因此将Catellier和Gubinelli(2016)的分析扩展到了将军BESOV空间。在随机过程中,该概念是由局部非确定性的适当特性所赋予的。

We introduce a new notion of irregularity of paths, in terms of control of growth of the size of small balls by means of the occupation measure of the path. This notion ensures Besov regularity of the occupation measure and thus extends the analysis of Catellier and Gubinelli (2016) to general Besov spaces. On stochastic processes this notion is granted by suitable properties of local non-determinism.

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