Results 281 to 290 of about 675,740 (311)
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Orientability of random surfaces
Physical Review D, 1990The critical behavior of large-$N$ matrix models defined by means of integrals over Lie algebras is shown to be universal. All such models give rise to the same theory of orientable random surfaces. By matching to the perturbative expansion, matrix models over symplectic groups are found to exhibit critical behavior distinct from that of unitary ...
, Myers, , Periwal
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Physical Review D, 1990
The interaction of two-dimensional quantum gravity with a set of conformal matter fields is considered. Following an earlier suggestion by Cates, we calculate the free energy of a spiky'' Liouville field configuration at a fixed value of the proper-time cutoff and including lowest-order quantum corrections.
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The interaction of two-dimensional quantum gravity with a set of conformal matter fields is considered. Following an earlier suggestion by Cates, we calculate the free energy of a spiky'' Liouville field configuration at a fixed value of the proper-time cutoff and including lowest-order quantum corrections.
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Matrix realization of random surfaces
Physical Review D, 1991The large-N one-matrix model with a potential V(φ)=φ 2 /2+g 4 φ 4 /N+g 6 φ 6 /N 2 is carefully investigated using the orthogonal polynomial method. We present a numerical method to solve the recurrence relation and evaluate the recursion coefficients r k (k=1,2,3,...) of the orthogonal polynomials at large N.
, Sasaki, , Suzuki
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Surface magnetism in a random surface field
Physica A: Statistical Mechanics and its Applications, 1989Surface phase diagrams of a semi-infinite simple cubic spin 12 Ising system in a random surface field are investigated by the use of effective-field theory with correlations. Surface tricritical behavior is found, when the enhanced surface exchange interaction takes a large value.
T. Kaneyoshi, Z.Y. Li
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Simplical gravity and random surfaces
Nuclear Physics B - Proceedings Supplements, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geometric Inequalities for Random Surfaces
Mathematische Nachrichten, 1989\textit{G. Matheron} [Random sets and integral geometry (1975; Zbl 0321.60009)] was the first to use auxiliary convex bodies in the study of stationary Poisson processes of hyperplanes (lines). This concept was extended to (random) hypersurfaces by the author [Probab. Theory Relat.
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Numerical Studies of Random Surfaces
1987Critical exponents of a model of discretized random surfaces are calculated by Monte Carlo simulations. The phase structure and universality properties are discussed in the light of these measurements.
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Journal of Modern Optics, 1995
The properties of images, both confocal and conventional, of random surfaces are discussed, and ways of measuring the statistical properties of the surface from either amplitude or intensity data considered. The approach is based on the Kirchhoff approximation, and encompasses the regimes of scattering and speckle.
C.J.R. Sheppard, T.J. Connolly
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The properties of images, both confocal and conventional, of random surfaces are discussed, and ways of measuring the statistical properties of the surface from either amplitude or intensity data considered. The approach is based on the Kirchhoff approximation, and encompasses the regimes of scattering and speckle.
C.J.R. Sheppard, T.J. Connolly
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International Journal of Modern Physics C, 1991
The size of a random surface can be measured in at least two ways from two lengths: the radius of gyration and the smallest length such that a box constructed with this length contains the surface. In this paper it is shown that both lengths are non-self-averaging.
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The size of a random surface can be measured in at least two ways from two lengths: the radius of gyration and the smallest length such that a box constructed with this length contains the surface. In this paper it is shown that both lengths are non-self-averaging.
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