Jacobi radial stable processes
Nevanlinna theory, Fuchsian functions and Brownian motion windings.
Atsuji proposed some integrals along Brownian paths to study the Nevanlinna characteristic function T(f,r) when f is meromorphic in the unit disk D. We show that his criterios does not apply to the basic case when f is a modular elliptic function. The divergence of similar integrals computed along the geodesic flow is also proved. (A)
On the Spitzer and Chung laws of the iterated logarithm for brownian motion
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