Introduction to Random Surfaces

2000 ◽  
pp. 355-380
Author(s):  
Thordur Jonsson
Keyword(s):  
Random Surfaces

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

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 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 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.

The quantum geometry of random surfaces and spinning membranes

1989 ◽  
Vol 6 (12) ◽  
pp. 1993-2027 ◽  
Author(s):  
H Luckock ◽  
I Moss
Keyword(s):  
Quantum Geometry ◽  
Random Surfaces

A comparative study for selecting and using simulation methods of Gaussian random surfaces

2021 ◽  
pp. 107347
Author(s):  
Yuechang Wang ◽  
Abdullah Azam ◽  
Mark C.T Wilson ◽  
Anne Neville ◽  
Ardian Morina
Keyword(s):  
Comparative Study ◽  
Simulation Methods ◽  
Random Surfaces

scholarly journals Poisson approximation of the length spectrum of random surfaces

2018 ◽  
Vol 67 (3) ◽  
pp. 1115-1141
Author(s):  
Bram Petri ◽  
Christoph Thaele
Keyword(s):  
Poisson Approximation ◽  
Length Spectrum ◽  
Random Surfaces
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