Construction of Differential Symmetry Breaking Operators

2016 ◽  
pp. 121-129
Author(s):  
Toshiyuki Kobayashi ◽  
Toshihisa Kubo ◽  
Michael Pevzner
Keyword(s):  
Symmetry Breaking ◽  
Differential Symmetry

scholarly journals Differential symmetry breaking operators: I. General theory and F-method

2015 ◽  
Vol 22 (2) ◽  
pp. 801-845 ◽  
Author(s):  
Toshiyuki Kobayashi ◽  
Michael Pevzner
Keyword(s):  
General Theory ◽  
Symmetry Breaking ◽  
Differential Symmetry

scholarly journals Differential symmetry breaking operators: II. Rankin–Cohen operators for symmetric pairs

2015 ◽  
Vol 22 (2) ◽  
pp. 847-911 ◽  
Author(s):  
Toshiyuki Kobayashi ◽  
Michael Pevzner
Keyword(s):  
Symmetry Breaking ◽  
Differential Symmetry

scholarly journals Classification of differential symmetry breaking operators for differential forms

2016 ◽  
Vol 354 (7) ◽  
pp. 671-676
Author(s):  
Toshiyuki Kobayashi ◽  
Toshihisa Kubo ◽  
Michael Pevzner
Keyword(s):  
Symmetry Breaking ◽  
Differential Forms ◽  
Differential Symmetry

Symmetry breaking in convergent-beam diffraction

1989 ◽  
Vol 47 ◽  
pp. 480-481
Author(s):  
D.J. Eaglesham
Keyword(s):  
Symmetry Breaking ◽  
Point Group ◽  
X Ray Diffraction ◽  
Multiple Diffraction ◽  
Space Groups ◽  
Atomic Displacements ◽  
Small Probe ◽  
Phase Sensitive ◽  
Convergent Beam

Convergent Beam Electron Diffraction is now almost routinely used in the determination of the point- and space-groups of crystalline samples. In addition to its small-probe capability, CBED is also postulated to be more sensitive than X-ray diffraction in determining crystal symmetries. Multiple diffraction is phase-sensitive, so that the distinction between centro- and non-centro-symmetric space groups should be trivial in CBED: in addition, the stronger scattering of electrons may give a general increase in sensitivity to small atomic displacements. However, the sensitivity of CBED symmetry to the crystal point group has rarely been quantified, and CBED is also subject to symmetry-breaking due to local strains and inhomogeneities. The purpose of this paper is to classify the various types of symmetry-breaking, present calculations of the sensitivity, and illustrate symmetry-breaking by surface strains.CBED symmetry determinations usually proceed by determining the diffraction group along various zone axes, and hence finding the point group. The diffraction group can be found using either the intensity distribution in the discs

Centrosome Aurora A gradient ensures single polarity axis in C. elegans embryos

2020 ◽  
Vol 48 (3) ◽  
pp. 1243-1253 ◽  
Author(s):  
Sukriti Kapoor ◽  
Sachin Kotak
Keyword(s):  
Symmetry Breaking ◽  
Cell Fate ◽  
Cell Cortex ◽  
Axis Formation ◽  
Aurora A Kinase ◽  
Aurora A ◽  
C Elegans ◽  
Cell Embryo ◽  
Polarity Establishment

Cellular asymmetries are vital for generating cell fate diversity during development and in stem cells. In the newly fertilized Caenorhabditis elegans embryo, centrosomes are responsible for polarity establishment, i.e. anterior–posterior body axis formation. The signal for polarity originates from the centrosomes and is transmitted to the cell cortex, where it disassembles the actomyosin network. This event leads to symmetry breaking and the establishment of distinct domains of evolutionarily conserved PAR proteins. However, the identity of an essential component that localizes to the centrosomes and promotes symmetry breaking was unknown. Recent work has uncovered that the loss of Aurora A kinase (AIR-1 in C. elegans and hereafter referred to as Aurora A) in the one-cell embryo disrupts stereotypical actomyosin-based cortical flows that occur at the time of polarity establishment. This misregulation of actomyosin flow dynamics results in the occurrence of two polarity axes. Notably, the role of Aurora A in ensuring a single polarity axis is independent of its well-established function in centrosome maturation. The mechanism by which Aurora A directs symmetry breaking is likely through direct regulation of Rho-dependent contractility. In this mini-review, we will discuss the unconventional role of Aurora A kinase in polarity establishment in C. elegans embryos and propose a refined model of centrosome-dependent symmetry breaking.

A Symmetry-Breaking Theory of False Pop Out

2011 ◽  
Author(s):  
Kimberley D. Orsten ◽  
Mary C. Portillo ◽  
James R. Pomerantz
Keyword(s):  
Symmetry Breaking

Investigating Coupling and Symmetry- Breaking Signatures in Discrete Bimanual Aiming Tasks

2012 ◽  
Author(s):  
Rita Sleimen-Malkoun ◽  
Jean-Jacques Temprado
Keyword(s):  
Symmetry Breaking
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