Results 41 to 50 of about 92,154 (185)

Statistical properties of topological Collet-Eckmann maps [PDF]

, 2006
We study geometric and statistical properties of complex rational maps satisfying the Topological Collet-Eckmann Condition. We show that every such a rational map possesses a unique conformal probability measure of minimal exponent, and that this measure
Przytycki, Feliks, Rivera-Letelier, Juan
core   +3 more sources

The Moebius geometry of Wintgen ideal submanifolds [PDF]

, 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  

Conformal Spectrum and Harmonic maps [PDF]

, 2014
This paper is devoted to the study of the conformal spectrum (and more precisely the first eigenvalue) of the Laplace-Beltrami operator on a smooth connected compact Riemannian surface without boundary, endowed with a conformal class.
Nadirashvili, Nikolai, Sire, Yannick
core   +3 more sources

A Map of the Universe

, 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., Cole S., Connors M., David Schlegel, Fiona Hoyle, Henry G., Hikage C., J. Richard Gott III, Jon Brinkmann, Kaiser N., Kodaira K., Mario Jurić, Max Tegmark, Michael Vogeley, Neta Bahcall, Park C.   +15 more
core   +1 more source

Genus-zero Whitham hierarchies in conformal-map dynamics [PDF]

, 2006
A scheme for solving quasiclassical string equations is developped to prove that genus-zero Whitham hierarchies describe the deformations of planar domains determined by rational conformal maps.
Alonso, Luis Martinez, Medina, Elena
core   +4 more sources

Conformal Mapping on Rough Boundaries I: Applications to harmonic problems

, 2004
The aim of this study is to analyze the properties of harmonic fields in the vicinity of rough boundaries where either a constant potential or a zero flux is imposed, while a constant field is prescribed at an infinite distance from this boundary.
A. G. Voronovich, A. L. Barabási, B. B. Mandelbrot, B. B. Mandelbrot, B. L. Cox, B. Sapoval, B. Sapoval, B. Sapoval, B. Sapoval, C. Pozrikidis, C. Pozrikidis, C. Pozrikidis, D. M. Kulawansa, D. Vandembroucq and S. Roux, D. Vandembroucq. A. C. Boccara, Damien Vandembroucq, E. Bouchaud, F. M. Borodich, F. M. Borodich, H. Hasimoto, J. Feder, J. J. L. Higdon, J. Schmittbuhl, K. J. M̊aløy, L. Boyer, M. H. Gutknecht, M. H. Gutknecht, P. Henrici, P. Meakin, P. Meakin, P. Meakin, R. H. Dauskardt, R. W. Davidge, S. He, S. R. Brown, S. Roux, Stéphane Roux, T. C. Halsey, T. C. Halsey, T. C. Halsey, T. C. Halsey, T. Halpin-Healy, T. Vicsek   +42 more
core   +1 more source

Conformal Invariance and Stochastic Loewner Evolution Predictions for the 2D Self-Avoiding Walk - Monte Carlo Tests

, 2003
Simulations of the self-avoiding walk (SAW) are performed in a half-plane and a cut-plane (the complex plane with the positive real axis removed) using the pivot algorithm.
Kennedy, Tom
core   +2 more sources

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

, 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, Polyakov, Maxim V., Semenov-Tian-Shansky, Kirill M.   +2 more
core   +2 more sources

Behavior of spatial curves under different transformations in Euclidean 4-space

Demonstratio Mathematica
This study investigates the conditions under which various curves maintain their characteristics when mapped between two regular surfaces in four-dimensional Euclidean space E4{{\mathbb{E}}}^{4}.
Badyal Pushpinder, Singh Kuljeet, Sharma Sandeep   +2 more
doaj   +1 more source

On the conformal spin dependence of the perturbative QCD vacuum singularity

Journal of High Energy Physics, 2022
We study the four-gluon scattering amplitude in the high energy limit of QCD written in terms of its conformal expansion. We highlight the need to include both even and odd conformal spin contributions in order to map it to an iterative representation in
Grigorios Chachamis, Agustín Sabio Vera
doaj   +1 more source