2012/08/31 by Dominique Lépingle, Lépingle, Dominique · 1 citation
Economics, Econometrics and Finance · Mathematics · #Economic theories and models #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #math.PR
paper · pdf · doi:10.48550/arxiv.1208.6399
arxiv created 2013/02/13 · arxiv updated 2013/02/14
We consider the problem of strong existence and uniqueness of a Brownian motion forced to stay in the quadrant by an electrostatic repulsion from the sides that works obliquely. The results are reminiscent of the study of a Brownian motion with oblique reflection in a wedge. Actually, the same skew symmetry condition is involved when looking for a stationary distribution in product form. the terms of the product are now gamma distributions in place of exponential ones. An associate purely deterministic problem is also considered.