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Using an algebraic formalism based on matrices in SL(2,R), we explicitly give the Teichmüller spaces of Riemann surfaces of signature (0,4) (X pieces), (1,2) ("Fish" pieces) and (2,0) in trace coordinates. The approach, based upon gluing together two build ...
This study investigates the composition of free surfaces of neodymium-doped yttrium–aluminum–garnet, using energy minimization techniques. Atomistic modeling shows that the dopant is concentrated in a zone within 0.5 nm ̊of the surface, the enrichment fact ...
We show how the theory of deformations of geometric structures (development and holonomy) applied to the case of piecewise flat surfaces leads to some interesting geometric structures on the moduli space of a punctured surface. ...
We demonstrate that the spin-orbit coupling of two-dimensional surface states can be detected locally by scanning-tunneling spectroscopy (STS). The spin splitting of the surface state induces a singularity in the local density of states which can be detect ...
Recent detail-preserving shape deformation techniques are either based on a combination of multiresolution decomposition and variational bending energy minimization, or they manipulate differential coordinates and solve a Poisson system to obtain the defor ...
Challenges in nanotechnology today involve controlling dimensions, inter-particle spacing, surface coverage and behavior/response of functional nanostructures. Creating or placing nanostructures on surfaces is important for applications like data storage, ...
Since its development in 1986, the Atomic force microscope (AFM) has become a revolutionary tool for surface analysis. AFM is of special interest to biologists because of its ability to operate in liquids. Applications include imaging molecules, cells, tis ...
This thesis presents a methodology for the design optimization of hydraulic runner blades. The originality of the methodology comes from the geometric definition of the blade shapes, which uses parametric surfaces instead of a set of profiles. The main adv ...
We present a MEMS process for the fabrication of arbitrary (adaptable to specific aperture geometries) stabilization of silicon nitride membranes to be used as miniature shadow masks or (nano) stencils. Stabilization was realized by the fabrication of sili ...
Initial surface reaction mechanism for atomic layer deposition of HfO2 on the hydroxylated GaAs(001)-4x2 surface using HfCl4 and H2O as precursors is investigated using hybrid density functional theory. The reaction between HfCl4 and H2O with the hydroxyla ...