scholarly journals CAT(0) cube complexes are determined by their boundary cross ratio

2021 ◽  
Vol 15 (1) ◽  
pp. 313-333
Author(s):  
Jonas Beyrer ◽  
Elia Fioravanti ◽  
Merlin Incerti-Medici
Keyword(s):  
Cross Ratio ◽  
Cube Complexes

Projector calibration based on cross ratio invariance

2020 ◽  
Vol 13 (6) ◽  
pp. 1-9
Author(s):  
YANG Jian-bai ◽  
◽  
ZHAO Jian ◽  
SUN Qiang ◽  
Keyword(s):  
Cross Ratio ◽  
Projector Calibration

Suggested Notation for Ratios and Cross-Ratios

1912 ◽  
Vol 6 (98) ◽  
pp. 294-296
Author(s):  
Alfred Lodge
Keyword(s):  
Cross Ratio ◽  
The Cross

I wish to call attention to the value, for some purposes, ot the notation for the ratio ; and for the cross-ratio . For instance: in Menelaus’ theorem for the property of a transversal meeting the sides of a triangle ABC in the points P, Q, R, the first mentioned notation makes the property shine out very clearly The equation in the form is , which conspicuously separates the points on the transversal from the angular points of the triangle.

scholarly journals Property A and CAT(0) cube complexes

2009 ◽  
Vol 256 (5) ◽  
pp. 1408-1431 ◽  
Author(s):  
J. Brodzki ◽  
S.J. Campbell ◽  
E. Guentner ◽  
G.A. Niblo ◽  
N.J. Wright
Keyword(s):  
Property A ◽  
Cube Complexes

scholarly journals Time-dependent cross ratio estimation for bivariate failure times

Biometrika ◽  
2011 ◽  
Vol 98 (2) ◽  
pp. 341-354 ◽  
Author(s):  
T. Hu ◽  
B. Nan ◽  
X. Lin ◽  
J. M. Robins
Keyword(s):  
Cross Ratio ◽  
Time Dependent ◽  
Ratio Estimation ◽  
Failure Times

scholarly journals Ping Pong on CAT(0) cube complexes

2016 ◽  
Vol 91 (3) ◽  
pp. 543-561 ◽  
Author(s):  
Aditi Kar ◽  
Michah Sageev
Keyword(s):  
Ping Pong ◽  
Cube Complexes

Equivariant Forms: Structure and Geometry

2013 ◽  
Vol 56 (3) ◽  
pp. 520-533 ◽  
Author(s):  
Abdelkrim Elbasraoui ◽  
Abdellah Sebbar
Keyword(s):  
Riemann Surface ◽  
Line Bundle ◽  
Modular Forms ◽  
Differential Forms ◽  
Cross Ratio ◽  
Canonical Line Bundle ◽  
The Cross

Abstract.In this paper we study the notion of equivariant forms introduced in the authors' previous works. In particular, we completely classify all the equivariant forms for a subgroup of SL2(ℤ) by means of the cross-ratio, weight 2 modular forms, quasimodular forms, as well as differential forms of a Riemann surface and sections of a canonical line bundle.

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