Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Random surfaces"”.
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Macroscopic behaviour of Lipschitz random surfaces
A random field is a random function φ from the square lattice ℤᵈ to some fixed standard Borel space (E, ℰ). A random surface is a random field with the extra condition that E ∈ {ℤ, ℝ} where ℰ is the standard σ-algebra. For random surfaces, one often studies the gradient ∇φ of the random function of …
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Random surfaces and the Yang-Lee edge singularity
… describe recent progress towards a theory of random surfaces relevant to string theory and two-dimensional quantum gravity. After a brief motivational introduction as well as a general outline of the thesis in the first chapter we will discuss in chapter 2 the continuum approach to random …
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Conformal welding of random surfaces from Liouville theory
… gravity (LQG) is a natural model describing random surfaces, which arises as the scaling limit for random planar maps. Liouville conformal field theory (LCFT) is the underlying 2D CFT that governs LQG. Schramm-Loewner evolution (SLE) is a random planar curve, which describes the scaling …
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A Numerical Investigation of Thermal Radiation Scattering From Configured and Random Surfaces
… from one-dimensional and two-dimensional surfaces are presented. The surface profiles are configured or random rough with geometrical scales on the order of the wavelength. Scattered energy distributions from one-dimensional surfaces are restricted within the incidence plane while …
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Random surface interpretations of two-dimensional Liouville quantum gravity and Yang-Mills theory
The theory of random surfaces (or "sums over surfaces") has its historical roots in quantum gravity, string theory, statistical physics, and combinatorics. This thesis explores random surfaces in two settings: one related to Liouville quantum gravity, and one related to Euclidean Yang-Mills theory …
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Effects of random surface errors on the performance of paraboloidal reflectors
… of paraboloidal reflector antennas whose surfaces are subjected to random errors with the emphasis on using an accurate representation of the statistics of the random surface errors. An ensemble of Gaussian random surfaces is created to be used with the Monte Carlo simulation. The average …
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Effect of correlation between shadowing and shadowed points in rough surface scattering
Shadowing of random surfaces is accounted for by multiplying the Kirchhoff electric current density by a shadowing function. The shadow-corrected incoherent intensity is computed in the backscatter direction and is found to be proportional to the probability of a specular point being illuminated …
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Theory and Experiments of Scattering From Microscale Random Rough and Deterministic Surfaces
… theoretical investigation has been conducted for surfaces which have surface length scales on the order of the incident wavelength. A Fourier Transform Infrared Spectrometer (FTIR) is used for experimental measurements from two-dimensional rough random surfaces, and one- and two-dimensional …
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Stochastic Dynamics on Integrable Lattice Models
… When viewing the six-vertex model as a model of random surfaces, the Markov chain is an example of a surface growth model in the (2+1)-dimensional “Anisotropic KPZ” (or “AKPZ”) universality class. In the Z² case, the translation invariant Gibbs measures of the stochastic sixvertex model are …
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On Gaussian multiplicative chaos and conformal field theory
… are the Gaussian free field (GFF) and the random geometries associated to it. Especially, we are interested in Gaussian multiplicative chaos (GMC), Schramm-Loewner evolution (SLE) and Liouville CFT, which can be understood as theories of random surfaces. From the point of view of physics, …