The modulus method introduced by H. Grötzsch yields bounds for a mean distortion functional of quasiconformal maps between two annuli mapping the respective boundary components onto each other. P. P. Belinskĭı studied these inequalities in the plane and identified the family of all minimisers. Beyond the Euclidean framework, a Grötzsch–Belinskĭı-type inequality has been previously considered fo...

Evidence is presented that the site of cell division in Salmonella typhimurium is flanked by two circumferential zones of cell envelope differentiation, the periseptal annuli, which separate the division site from the remainder of the cell envelope. Each annulus is composed of a continuous structure in which the membranous elements of the cell envelope are closely associated with the murein cyt...

We asymptotically estimate the variance for distribution of closed geodesics in small random balls or annuli on modular surface $\Gamma\backslash\mathbb{H}$. A probabilistic model which are modeled using geodesic segments is proposed, and we rigorously analyze this mixing flow This leads to a conjecture asymptotic behavior variance, unlike previously explored cases not equal expected value. pro...

Abstract We construct nontrivial bounded, real analytic domains ? ? R n of the form 0 ? ? 1 , bifurcating from annuli, which admit a positive solution to overdetermined boundary value problem { ? ? u = >  in  ? ? const  on  where stands for inner unit normal ??. From results by Reichel [1] and later Sirakov [2] it was known that condition ? on is sufficient rigidity hold, namely, only such are ...

We establish a generalization of the p-adic local monodromy theorem (of André, Mebkhout, and the author) in which differential equations on rigid analytic annuli are replaced by differential equations on so-called “fake annuli”. The latter correspond loosely to completions of a Laurent polynomial ring with respect to a valuation, which in this paper is restricted to be of monomial form; we defe...

We study constant mean curvature 1/2 surfaces in H × R that admit a compactification of the mean curvature operator. We show that a particular family of complete entire graphs over H admits a structure of infinite dimensional manifold with local control on the behaviors at infinity. These graphs also appear to have a half-space property and we deduce a uniqueness result at infinity. Deforming n...

Studies with the electron microscope have revealed a structural plan common to the nuclear envelopes of many types of cells (e.g. 1-6, 8, 11, 13). Nearly all envelopes examined to date consist of two membranes each roughly 50 to 80 A in thickness separated by a perinuclear space of somewhat greater, but variable dimensions. In addition there exist discontinuities in the envelope which generally...

We have added the BeppoSAX Gamma-Ray Burst Monitor to the 3rd Interplanetary Network of burst detectors. We analyze 16 bursts whose positions are known to good accuracy from measurements at other wavelengths. We show that there is excellent agreement between the Ulysses/BeppoSAX triangulation annuli and the known positions of these events, and that these annuli can in many cases provide useful ...

We establish a generalization of the p-adic local monodromy theorem (of André, Mebkhout, and the author) in which differential equations on rigid analytic annuli are replaced by differential equations on so-called “fake annuli”. The latter correspond loosely to completions of a Laurent polynomial ring with respect to a monomial valuation. The result represents a step towards a higher-dimensiona...

Mimobdella japonica Blanchard, 1897, the type species of the genus Mimobdella Blanchard, 1897, is redescribed based on the holotype. This species is characterized by the following characteristics: mid-body somites novem-annulate, two post-anal annuli, male gonopore in XI/XII, female gonopore in XII/XIII, 9 annuli (one full somite) between gonopores, strepsilaematous pharynx and three myognaths ...