We give a counterexample of Bowers-Stephenson's conjecture in the spherical case: spherical inversive distance circle packings are not determined by their inversive distances.

We study a family of non-convex functionals $\{\mathcal{E}\}$ on the space measurable functions$u: \Omega_1\times\Omega_2 \subset \mathbb{R}^{n_1}\times\mathbb{R}^{n_2} \to \mathbb{R}$. These vanish subset $S(\Omega_1\times\Omega_2)$ formed by functions form $u(x_1,x_2)=u_1(x_1)$ or $u(x_1,x_2)=u_2(x_2)$. investigate under which conditions converse implication $\mathcal{E}(u) = 0 \Rightarrow u ...

Wage rigidity, stemming from highly distortive labor market policies, is a natural candidate to explain the over-valuation of the CFA Franc after the adverse external shocks of the 1980s. This paper uses a variety of data sources to assess the actual rigidity of wages in CFA countries and to analyze how it relates to their labor market policies. The paper shows that wages are high in CFA countr...

In this note we prove a theorem on non-vacuum initial data for general relativity. The result presents a “rigidity phenomenon” for the extrinsic curvature, caused by the nonpositive scalar curvature. More precisely, we state that in the case of asymptotically flat non-vacuum initial data if the metric has everywhere non-positive scalar curvature then the extrinsic curvature cannot be compactly ...

We discuss the theory of non-critical strings with extrinsic curvature embedded in a target spac d greater than one. We emphasize the analogy between 2d gravity coupled to matter and non liquid-like membranes with bending rigidity. We rst outline the exact solution for strings in dime via the double scaling limit of matrix models and then discuss the diiculties of an extension to d > from recen...

OBJECTIVES This study aims to assess the correlation of CT-based structural rigidity analysis with mechanically determined axial rigidity in normal and metabolically diseased rat bone. METHODS A total of 30 rats were divided equally into normal, ovariectomized, and partially nephrectomized groups. Cortical and trabecular bone segments from each animal underwent micro-CT to assess their averag...

We give examples of analytic circle maps with singularities of break type with the same rotation number and the same size of the break for which no conjugacy is Lipschitz continuous. In the second part of the paper, we discuss a class of rotation numbers for which a conjugacy is C1-smooth, although the numbers can be strongly non-Diophantine (Liouville). For the rotation numbers in this class, ...

Motivation: The physical structure of chromatin is associated with a variety of biological phenomena including long-range regulation, chromosome rearrangements, and somatic copy number alterations. Chromosome conformation capture is a recent experimental technique that results in pairwise proximity measurements between chromosome locations in a genome. This information can be used to construct ...