For a geometrically finite hyperbolic group with small critical exponent, the spectral
method for counting is not available, as there is no point eigenvalue of the Laplace operator on the L2-spectrum. We will explain counting results for orbits of a big class of thin groups acting on a symmetric variety of the real hyperbolic group, which are obtained via ergodic approach.
This talk is based on joint work with Nimish Shah.
This video is part of the MSRI workshop Hot Topics: Thin Groups and Super-strong Approximation, which took place in February of 2012.
