Lépingle, D. A two-dimensional oblique extension of Bessel processes. (English) Zbl 1379.60060 Markov Process. Relat. Fields 23, No. 2, 233-266 (2017). Summary: We consider a Brownian motion forced to stay in the quadrant by an electrostatic oblique repulsion from the sides. We tackle the question of hitting the corner or an edge, and find product-form stationary measures under a certain condition, which is reminiscent of the skew-symmetry condition for a reflected Brownian motion. Cited in 1 Document MSC: 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) Keywords:singular stochastic differential equation; electrostatic repulsion; Bessel process; product form stationary distribution; skew-symmetry condition; obliquely reflected Brownian motion PDF BibTeX XML Cite \textit{D. Lépingle}, Markov Process. Relat. Fields 23, No. 2, 233--266 (2017; Zbl 1379.60060)