The length of a lemmiscate.
The limit map of a homomorphism of discrete Möbius groups
The limit of mappings with finite distortion.
The limit theorem for mappings with bounded distortion on the Heisenberg group and the local homeomorphism theorem.
The linear topological quasiconformality coefficient and sufficient conditions for the branch points of mappings.
The logarithmic asymptotic expansions for the norms of evaluation functionals.
The Löwner-Kufarev representations for domains with analytic boundaries
We consider the Löwner-Kufarev differential equations generating univalent maps of the unit disk onto domains bounded by analytic Jordan curves. A solution to the problem of the maximal lifetime shows how long a representation of such functions admits using infinitesimal generators analytically extendable outside the unit disk. We construct a Löwner-Kufarev chain consisting of univalent quadratic polynomials and compare the Löwner-Kufarev representations of bounded and arbitrary univalent functions....
The mapping by heights for quadratic differentials in the disk.
The mapping class group of a generic quadratic rational map and automorphisms of the 2-shift.
The Markovian hyperbolic triangulation
We construct and study the unique random tiling of the hyperbolic plane into ideal hyperbolic triangles (with the three corners located on the boundary) that is invariant (in law) with respect to Möbius transformations, and possesses a natural spatial Markov property that can be roughly described as the conditional independence of the two parts of the triangulation on the two sides of the edge of one of its triangles.
The maximum term of a power series.
The Meilin Transform of the Partial Fraction Expansion for 0 (x).
The Mergelyan-Bishop theorem in the case of mapping into homogeneous manifolds. II. Proof of the theorem and application.
The metric space , 0
The mixed elliptically fixed point property for Kleinian groups.
The modular group action on real characters of a one-holed torus.
The Modular Torus has Maximal Length Spectrum.
The Modulus of Rudin-Carleson Extensions.
The monodromy groups of Schwarzian equations on closed Riemann surfaces.
The monodromy of Weierstrass points.