Results 61 to 70 of about 2,289,577 (361)

How round is a protein? Exploring protein structures for globularity using conformal mapping.

open access: yesFrontiers in Molecular Biosciences, 2014
We present a new algorithm that automatically computes a measure of the geometric difference between the surface of a protein and a round sphere. The algorithm takes as input two triangulated genus zero surfaces representing the protein and the round ...
Joel eHass, Patrice eKoehl
doaj   +1 more source

Scalar Invariants of surfaces in conformal 3-sphere via Minkowski spacetime

open access: yes, 2016
For a surface in 3-sphere, by identifying the conformal round 3-sphere as the projectivized positive light cone in Minkowski 5-spacetime, we use the conformal Gauss map and the conformal transform to construct the associate homogeneous 4-surface in ...
Qing, Jie   +2 more
core   +1 more source

Dual parametrization of generalized parton distributions in two equivalent representations [PDF]

open access: yes, 2014
The dual parametrization and the Mellin-Barnes integral approach represent two frameworks for handling the double partial wave expansion of generalized parton distributions (GPDs) in the conformal partial waves and in the $t$-channel ${\rm SO}(3 ...
Müller, Dieter   +2 more
core   +2 more sources

Deterministic chaos and fractal entropy scaling in Floquet conformal field theories

open access: yesPhysical review B, 2020
In this paper, we study 2d Floquet conformal field theory, where the external periodic driving is described by iterated logistic or tent maps. These maps are known to be typical examples of dynamical systems exhibiting the order-chaos transition, and we ...
Dmitry S. Ageev, A. Bagrov, A. Iliasov
semanticscholar   +1 more source

Conformal perturbation theory for twisted fields [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2019
We investigate second order conformal perturbation theory for orbifolds of conformal field theories in two dimensions. To evaluate the necessary twisted sector correlation functions and their integrals, we map them from the sphere to its torus double ...
C. Keller, I. Zadeh
semanticscholar   +1 more source

Making tau amyloid models in vitro: a crucial and underestimated challenge

open access: yesFEBS Letters, EarlyView.
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley   +1 more source

The Moebius geometry of Wintgen ideal submanifolds [PDF]

open access: yes, 2014
Wintgen ideal submanifolds in space forms are those ones attaining equality pointwise in the so-called DDVV inequality which relates the scalar curvature, the mean curvature and the scalar normal curvature. They are Moebius invariant objects.
Ma, Xiang, Xie, Zhenxiao
core  

A Map of the Universe

open access: yes, 2005
We have produced a new conformal map of the universe illustrating recent discoveries, ranging from Kuiper belt objects in the Solar system, to the galaxies and quasars from the Sloan Digital Sky Survey.
Brown M. E.   +15 more
core   +1 more source

Quantitative recurrence properties for self-conformal sets [PDF]

open access: yesProceedings of the American Mathematical Society, 2019
In this paper we study the quantitative recurrence properties of self-conformal sets $X$ equipped with the map $T:X\to X$ induced by the left shift. In particular, given a function $\varphi:\mathbb{N}\to(0,\infty),$ we study the metric properties of the ...
S. Baker, M. Farmer
semanticscholar   +1 more source

On a conformal-mapping property [PDF]

open access: yesAnnales Polonici Mathematici, 1984
Let \(w=f(z)\) be a non-constant entire function of a complex variable z and let D be a non-empty simply connected domain where \(w=f(z)\) is univalent. Let \(A_ 1A_ 2A_ 3A_ 4\) be an arbitrary rectangle contained entirely in D whose sides are parallel to the real and imaginary axes on the z-plane.
openaire   +2 more sources

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