Differential subordinations associated with multiplier transformations.
Differential subordinations defined by using Sălăgean differential operator at the class of meromorphic functions.
Differential subordinations for certain analytic functions missing some coefficients.
Differential subordinations for fractional-linear transformations.
Differential subordinations obtained by using generalized Sălăgean and Ruscheweyh operators.
Differential subordinations obtained using Dziok-Srivastava linear operator.
Differential superordination defined by Sălăgean operator.
Differentially closed ideals in rings of analytic functions.
Differentials of the second kind for families of Mumford curves
Diffusion to infinity for periodic orbits in meromorphic dynamics
A small perturbation of a rational function causes only a small perturbation of its periodic orbits. We show that the situation is different for transcendental maps. Namely, orbits may escape to infinity under small perturbations of parameters. We show examples where this "diffusion to infinity" occurs and prove certain conditions under which it does not.
Dilogarithme -adique
Dilogarithms, Regulators and p-adic L-functions.
Dimension Distortion by Sobolev Mappings in Foliated Metric Spaces
We quantify the extent to which a supercritical Sobolev mapping can increase the dimension of subsets of its domain, in the setting of metric measure spaces supporting a Poincaré inequality. We show that the set of mappings that distort the dimensions of sets by the maximum possible amount is a prevalent subset of the relevant function space. For foliations of a metric space X defined by a David–Semmes regular mapping Π : X → W, we quantitatively estimate, in terms of Hausdorff dimension in W, the...
Dimensions conformes, espaces Gromov-hyperboliques et ensembles autosimilaires
Dimers and cluster integrable systems
We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type, which we call acluster integrable system. The phase space of the classical system contains, as an open dense subset, the moduli space of line bundles with connections on the graph . The sum of Hamiltonians is essentially the partition function of the dimer model. We say that two such graphs and areequivalentif the Newton polygons of the corresponding partition functions...
Diophantine approximation on Veech surfaces
We show that Y. Cheung’s general -continued fractions can be adapted to give approximation by saddle connection vectors for any compact translation surface. That is, we show the finiteness of his Minkowski constant for any compact translation surface. Furthermore, we show that for a Veech surface in standard form, each component of any saddle connection vector dominates its conjugates in an appropriate sense. The saddle connection continued fractions then allow one to recognize certain transcendental...
Diophantine approximations and foliations
Directional qualitative cluster sets
Dirichlet forms, quasiregular functions and Brownian motion.
Dirichlet points, Garnett points, and infinite ends of hyperbolic surfaces. I.