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We consider a transient Brownian motion reflected obliquely in atwo-dimensional wedge. A precise asymptotic expansion of Green's functions isfound in all directions. To this end, we first determine a kernel functionalequation connecting the Laplace transforms of the Green's functions. We thenextend the Laplace transforms analytically and study its singularities. Weobtain the asymptotics applying the saddle point method to the inverse Laplacetransform on the Riemann surface generated by the kernel.

Asymptotics for the Green's functions of a transient reflected Brownian motion in a wedge