scholarly journals Lengths of closed geodesics on random surfaces of large genus

2019 ◽  
Vol 94 (4) ◽  
pp. 869-889
Author(s):  
Maryam Mirzakhani ◽  
Bram Petri
Keyword(s):  
Closed Geodesics ◽  
Random Surfaces ◽  
Large Genus

Fractal dimensions of dynamically triangulated random surfaces

1992 ◽  
Vol 2 (12) ◽  
pp. 2181-2190 ◽  
Author(s):  
Christian Münkel ◽  
Dieter W. Heermann
Keyword(s):  
Fractal Dimensions ◽  
Random Surfaces

Filling words in fundamental groups of Riemann surfaces

2013 ◽  
Vol 50 (1) ◽  
pp. 31-50
Author(s):  
C. Zhang
Keyword(s):  
Riemann Surface ◽  
Fundamental Group ◽  
Riemann Surfaces ◽  
Fundamental Groups ◽  
Closed Geodesics ◽  
New Words

The purpose of this article is to utilize some exiting words in the fundamental group of a Riemann surface to acquire new words that are represented by filling closed geodesics.

Porella longifolia (Steph.) S.Hatt. and Porella densifolia var. robusta (Steph.) S.Hatt. (Porellaceae, Marchantiophyta) excluded from the liverwort flora of China

Phytotaxa ◽  
2018 ◽  
Vol 350 (2) ◽  
pp. 182 ◽  
Author(s):  
KAI QIAN ◽  
XING-FENG BI ◽  
LEI SHU ◽  
RUI-LIANG ZHU
Keyword(s):  
Flora Of China ◽  
Center Of Diversity ◽  
Large Genus

Porella is a large genus with 86 currently accepted species. China is its center of diversity. Two narrowly distributed taxa, Porella densifolia var. robusta and P. longifolia are excluded from the liverwort flora of China because vouchered specimens are assignable to other species. The illustrations of Porella densifolia var. densifolia and P. acutifolia var. acutifolia based on Chinese plants are provided. Porella longifolia is thus far known only from Sumatra, Indonesia.

scholarly journals Universality of hypercubic random surfaces

1997 ◽  
Vol 409 (1-4) ◽  
pp. 173-176
Author(s):  
S. Bilke ◽  
Z. Burda ◽  
B. Petersson
Keyword(s):  
Random Surfaces

scholarly journals Angular self-intersections for closed geodesics on surfaces

2005 ◽  
Vol 134 (02) ◽  
pp. 419-426 ◽  
Author(s):  
Mark Pollicott ◽  
Richard Sharp
Keyword(s):  
Closed Geodesics

Vase life characteristics of selected Grevillea

1996 ◽  
Vol 36 (3) ◽  
pp. 379 ◽  
Author(s):  
DC Joyce ◽  
P Beal ◽  
AJ Shorter
Keyword(s):  
Vase Life ◽  
Cut Flower ◽  
Breeding Programs ◽  
Flower Production ◽  
Large Genus

Grevillea is a large genus containing many species, forms and hybrids bearing inflorescences with desirable cut flower characteristics. Nineteen different Grevillea spp. and forms (7), and 39 hybrids (including 11 repeat collections) were assessed for vase life. Longevity varied 3-fold, from 3 days for G. wickhamii to 9 days for a G. whiteana accession. Species with comparatively long vase lives included G. pteridifolia, G. sessilis and G. whiteana. These genotypes may be useful for cut flower production and/or in breeding programs aimed at producing new cut flower Grevillea.

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