One-dimensional reflected rough differential equations
  We prove existence and uniqueness of the solution of a one-dimensional rough differential equation driven by a step-2 rough path and reflected at zero. In order to deal with the lack of control of the reflection measure the proof uses some ideas we introduced in a previous work dealing with rough kinetic PDEs [arXiv:1604.00437]. 
Aurelien Deya, Massimiliano Gubinelli, Martina Hofmanova, Samy Tindel
math.PR