scholarly journals Short geodesic loops and $$L^p$$ norms of eigenfunctions on large genus random surfaces

2021 ◽  
Author(s):  
Clifford Gilmore ◽  
Etienne Le Masson ◽  
Tuomas Sahlsten ◽  
Joe Thomas
Keyword(s):  
Random Surfaces ◽  
Large Genus ◽  
Short Geodesic ◽  
Geodesic Loops

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

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

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.

scholarly journals THE CRITICAL POINT OF UNORIENTED RANDOM SURFACES WITH A NONEVEN POTENTIAL

1993 ◽  
Vol 08 (06) ◽  
pp. 1139-1152
Author(s):  
M.A. MARTÍN-DELGADO
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Critical Point ◽  
Discrete Model ◽  
Recursion Relation ◽  
Scaling Limit ◽  
Random Surfaces ◽  
Matrix Ensemble ◽  
Quartic Interaction ◽  
Double Scaling Limit

The discrete model of the real symmetric one-matrix ensemble is analyzed with a cubic interaction. The partition function is found to satisfy a recursion relation that solves the model. The double scaling-limit of the recursion relation leads to a Miura transformation relating the contributions to the free energy coming from oriented and unoriented random surfaces. This transformation is the same kind as found with a quartic interaction.

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