速度和切换率与空间有关的滚转过程在不同水平上的大偏差
Large deviations at various levels for run-and-tumble processes with space-dependent velocities and space-dependent switching rates
摘要：
当两个速度和/或两个切换率是空间相关的时，一维运行-翻滚过程可能收敛到某些局部非平衡稳态。一个长的动态轨迹，然后可以分析通过在2.5级的经验密度，经验空间电流和经验开关流的联合概率的大偏差。然后，通过对经验流进行水平2.5的优化，可以推导出经验密度单独的水平2。更一般地说，任何时间可加观测的大偏差也可以通过从2.5级的收缩来获得，或者等效地通过变形生成器方法和相应的Doob条件过程来获得。最后，连续切换事件之间的经验间隔的大偏差可以通过引入交替马尔可夫链来获得，该交替马尔可夫链支配长轨迹的所有切换事件的序列。
英文摘要：
One-dimensional run-and-tumble processes may converge towards some localized non-equilibrium steady state when the two velocities and/or the two switching rates are space-dependent. A long dynamical trajectory can be then analyzed via the large deviations at Level 2.5 for the joint probability of the empirical densities, of the empirical spatial currents and of the empirical switching flows. The Level 2 for the empirical densities alone can be then derived via the optimization of the Level 2.5 over the empirical flows. More generally, the large deviations of any time-additive observable can be also obtained via contraction from the Level 2.5, or equivalently via the deformed generator method and the corresponding Doob conditioned process. Finally, the large deviations for the empirical intervals between consecutive switching events can be obtained via the introduction of the alternate Markov chain that governs the series of all the switching events of a long trajectory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
