Martin Boundary of a Degenerate Reflected Brownian Motion in a Wedge

The author thanks Sandro Franceschi and Irina Kourkova for their invaluable insights and discussions about this article. First and foremost, the author sincerely thanks Sandro Franceschi for introducing the author to the compensation method and for the many fruitful discussions they have had. Sandro Franceschi’s guidance has been crucial in shaping this research, and the conversations between him and the author have greatly deepened the author’s understanding of the subject. The author is also deeply grateful to Irina Kourkova for her numerous valuable suggestions regarding the writing of this article as well as for their exchanges on a specific case related to asymptotic analysis.