对称排它过程驱动的慢RW的显式LDP
Explicit LDP for a slowed RW driven by a symmetric exclusion process
摘要：
考虑由简单对称排它过程（SSE）驱动的随机游动（RW）.重新标度的RW和SSE在这样一种方式，联合流体动力极限定理举行，我们证明了联合路径大偏差原则。相应的大偏差速率函数可以被分成两个分量，SSE的速率函数和给定SSE路径的RW的速率函数。这样的组件有不同的结构（高斯和泊松，分别），并克服这一困难，我们利用理论的Orlicz空间。特别地，对应于RW的速率函数的分量是明确的。
英文摘要：
We consider a random walk (RW) driven by a simple symmetric exclusion process (SSE). Rescaling the RW and the SSE in such a way that a joint hydrodynamic limit theorem holds we prove a joint path large deviation principle. The corresponding large deviation rate function can be split into two components, the rate function of the SSE and the one of the RW given the path of the SSE. Such components have different structures (Gaussian and Poissoinian, respectively) and to overcome this difficulty we make use of the theory of Orlicz spaces. In particular, the component of the rate function corresponding to the RW is explicit.
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