This paper is devoted to recent progress made towards the understanding of closed bosonic
and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean …

We prove a general version of Cheeger's inequality for discrete-time Markov chains and
continuous-time Markovian jump processes, both reversible and nonreversible, with general …

There are infinitely many obstructions to the existence of smooth solutions of the
cohomological equation Uu= f, where U is the vector field generating the horocycle flow on …

This paper presents an eigenvalue algorithm for accurately computing the Hausdorff
dimension of limit sets of Kleinian groups and Julia sets of rational maps. The algorithm is …

In particular, the unipotent subgroup of PSL (2,) acts on TS. It is our main goal to
determineall N-invariant Radon measures on T1S. Our first remark is that if C is the cone of …

Let Z (s, R) be the Selberg zeta function of a compact Riemann surface R. We study the
behavior of Z (s, R) as R tends to infinity in the moduli space of stable curves. The main …

The paper presents a survey on recent results on the geometry of Riemann surfaces
showing that the study of closed geodesics provides a link between different aspects of …

We are interested in the limiting behavior of the spectrum of the Laplace-Beltrami operator
for a degenerating family of Riemann surfaces with finite area hyperbolic metrics. Our hope …

A bstract We show that for three dimensional gravity with higher genus boundary conditions,
if the theory possesses a sufficiently light scalar, there is a second order phase transition …

A global maximal Riemann surface is a surface of constant curvature− 1 with the property
that the length of its shortest simple closed geodesic is maximal with respect to all surfaces …