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SelfApproaching Graphs
"... In this paper we introduce selfapproaching graph drawings. A straightline drawing of a graph is selfapproaching if, for any origin vertex s and any destination vertex t, there is an stpath in the graph such that, for any point q on the path, as a point p moves continuously along the path from ..."
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Cited by 4 (0 self)
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hard to test if a given graph drawing in R 3 has a selfapproaching uvpath; (2) we can characterize the trees that have selfapproaching drawings; (3) for any given set of terminal points in the plane, we can find a linear sized network that has a selfapproaching path between any ordered pair of terminals.
UWThPh191995 hepth/9505175 Towards Finite Quantum Field Theory in Noncommutative Geometry
, 1995
"... We describe the selfinteracting scalar field on the truncated sphere and we perform the quantization using the functional (path) integral approach. The theory posseses a full symmetry with respect to the isometries of the sphere. We explicitely show that the model is finite and the UVregularizatio ..."
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We describe the selfinteracting scalar field on the truncated sphere and we perform the quantization using the functional (path) integral approach. The theory posseses a full symmetry with respect to the isometries of the sphere. We explicitely show that the model is finite and the UV
Lightcontrolled molecular shuttles made from motor proteins carrying cargo on engineered surfaces. Nano Lett. 1:235–239. doi:10.1021/nl015521e
, 2001
"... Molecular shuttles have been built from motor proteins capable of moving cargo along engineered paths. We illustrate alternative methods of controlling the direction of motion of microtubules on engineered kinesin tracks, how to load cargo covalently to microtubules, and how to exploit UVinduced re ..."
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Cited by 12 (2 self)
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Molecular shuttles have been built from motor proteins capable of moving cargo along engineered paths. We illustrate alternative methods of controlling the direction of motion of microtubules on engineered kinesin tracks, how to load cargo covalently to microtubules, and how to exploit UV
Fullerenes C60 selfassembled on functionalized surfaces
"... Memory devices play an important role in electronics market leading to a growing research interest in the next generation of nonvolatile memory cells. Numerous groups [1,2] work on topdown memory cells based on fullerenes C60 that are generally embedded in insulating polymers where they act as sto ..."
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as storage sites. Beside these studies, a reaction path between amines and fullerenes [3] may be used to covalently bind C60 on an aminefunctionalized surface. Such an approach is interesting since it involves selfassembled monolayers (SAM) [4,5] which constitute a promising strategy to build molecular
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"... We examine the late time behavior of the BunchDavies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the BunchDavies wavefunction. We ..."
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. We consider selfinteracting scalars of general mass, but focus especially on the massless and conformally coupled cases. We show that certain contributions grow logarithmically in conformal time both at tree and loop level. We also consider gauge fields and gravitons. The fourdimensional Fefferman
Storage and release of soluble hexavalent chromium from chromate conversion coatings equilibrium aspects of CrVI concentration
 J. Electrochem. Soc
"... The release of chromate ions from chromate conversion coatings ͑CCCs͒ on Al alloys was studied, and the effect of aging of CCCs on the chromate release kinetics was investigated. Chromate release from CCCs into aqueous solutions was monitored by measuring the change in the chromate concentration in ..."
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Cited by 3 (0 self)
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with vinyl sheets. The concentrations of released Cr ions in solutions were periodically measured by UVvisible spectroscopy using a homebuilt system controlled by a LabVIEW program. A cuvette of 10 mm pathlength containing sample or reference solution was placed in the path of monochromated incident light
A DysonSchwinger study of the fourgluon vertex
"... Abstract: We present a selfconsistent calculation of the fourgluon vertex of Landau gauge YangMills theory from a truncated DysonSchwinger equation. The equation contains the leading diagrams in the ultraviolet and is solved using as the only input results for lower Green functions from previous ..."
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Abstract: We present a selfconsistent calculation of the fourgluon vertex of Landau gauge YangMills theory from a truncated DysonSchwinger equation. The equation contains the leading diagrams in the ultraviolet and is solved using as the only input results for lower Green functions from
POUR L'OBTENTION DU GRADE DE DOCTEUR ÈS SCIENCES PAR
"... 2010 to my wife, Joyce, and my family... Résumé ..."
CrasyDSE: A framework for solving DysonSchwinger equations
"... DysonSchwinger equations are important tools for nonperturbative analyses of quantum field theories. For example, they are very useful for investigations in quantum chromodynamics and related theories. However, sometimes progress is impeded by the complexity of the equations. Thus automatizing pa ..."
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DysonSchwinger equations are important tools for nonperturbative analyses of quantum field theories. For example, they are very useful for investigations in quantum chromodynamics and related theories. However, sometimes progress is impeded by the complexity of the equations. Thus automatizing parts of the calculations will certainly be helpful in future investigations. In this article we present a framework for such an automatization based on a C++ code that can deal with a large number of Green functions. Since also the creation of the expressions for the integrals of the DysonSchwinger equations needs to be automatized, we defer this task to a Mathematica notebook. We illustrate the complete workflow with an example from YangMills theory coupled to a fundamental scalar field that has been investigated recently. As a second example we calculate the propagators of pure YangMills theory. Our code can serve as a basis for many further investigations where the equations are too complicated to tackle by hand. It also can easily be combined with DoFun, a program for the derivation of DysonSchwinger equations.1
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