Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.
Conformal Mappings onto Prescribed Regions via Optimization Techniques.
Conformal martingales and analytic functions.
Conformal restriction and related questions.
Conformal welding of Jordan curves using weighted Dirichlet spaces.
Conformal welding of rectifiable curves.
Conformality and semi-conformatilty at the boundary.
Conformally flat manifolds, Kleinian groups and scalar curvature.
Conformally invariant variational integrals and the removability of isolated singularities.
Conforme Abbildung der Oberfläche eines Tetraeders auf die Oberfläche einer Kugel.
Congruence subgroups associated to the Monster.
Congruence subgroups of groups commensurable with of genus 0 and 1.
Congruence subgroups of ) of genus less than or equal to 24.
Conjugation to a shift and the splitting of invariant manifolds
We give sufficient conditions for a diffeomorphism in the plane to be analytically conjugate to a shift in a complex neighborhood of a segment of an invariant curve. For a family of functions close to the identity uniform estimates are established. As a consequence an exponential upper estimate for splitting of separatrices is established for diffeomorphisms of the plane close to the identity. The constant in the exponent is related to the width of the analyticity domain of the limit flow separatrix....
Conjugations on rotation domains as limit functions of the geometric means of the iterates.
Connected components of the strata of the moduli spaces of quadratic differentials
In two fundamental classical papers, Masur [14] and Veech [21] have independently proved that the Teichmüller geodesic flow acts ergodically on each connected component of each stratum of the moduli space of quadratic differentials. It is therefore interesting to have a classification of the ergodic components. Veech has proved that these strata are not necessarily connected. In a recent work [8], Kontsevich and Zorich have completely classified the components in the particular case where the quadratic...
Connectedness of the Carathéodory discs for doubly connected domains
We prove that the Carathéodory discs for doubly connected domains in the complex plane are connected.
Connectivity points and Darboux points of real functions
Conservative action and the horospheric limit set.
Constant Distortion Embeddings of Symmetric Diversities
Diversities are like metric spaces, except that every finite subset, instead of just every pair of points, is assigned a value. Just as there is a theory of minimal distortion embeddings of fiite metric spaces into L1, there is a similar, yet undeveloped, theory for embedding finite diversities into the diversity analogue of L1 spaces. In the metric case, it iswell known that an n-point metric space can be embedded into L1 withO(log n) distortion. For diversities, the optimal distortion is unknown....