Harmonic behaviour of conformal densities and Martin boundary

(Harmonic behaviour of conformal densities and Martin boundary) By treating the Poincare series of a discrete group of isometries in negative curvature like a Creep kernel, we set up a potential theory enough comparable to the classical theory, which allows us to draw a parallel between conformal densities and harmonic densities, and in particular to define a Martin boundary in which ergodic densities make up the minimal part, and even to give a geometrical identification of it under a hyperbolicity assumption.