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4,142
The Quenched Continuum Limit
, 2004
"... We show that all current formalisms for quarks in lattice QCD are consistent in the quenched continuum limit, as they should be. We improve on previous extrapolations to this limit, and the understanding of lattice systematic errors there, by using a constrained fit including both leading and suble ..."
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We show that all current formalisms for quarks in lattice QCD are consistent in the quenched continuum limit, as they should be. We improve on previous extrapolations to this limit, and the understanding of lattice systematic errors there, by using a constrained fit including both leading and sub
Exact Solutions, Continuum Limit
, 1992
"... Diffusionlimited reaction A+A→inert with anisotropic hopping on the d = 1 lattice, is solved exactly for a simultaneous updating, discrete timestep dynamics. Diffusiondominated processes slow down as the anisotropy increases. For large times or large anisotropy, one can invoke the appropriate con ..."
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continuum limits. In these limits the effects of the anisotropy on variation of particle density can be absorbed in time rescaling. However, in other regimes, when the discreteness of the time steps is nonnegligible, the anisotropy effects are nontrivial, although they are always quite small numerically
LATTICES AND THEIR CONTINUUM LIMITS
, 1995
"... We address the problem of the continuum limit for a system of Hausdorff lattices (namely lattices of isolated points) approximating a topological space M. The correct framework is that of projective systems. The projective limit is a universal space from which M can be recovered as a quotient. We du ..."
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We address the problem of the continuum limit for a system of Hausdorff lattices (namely lattices of isolated points) approximating a topological space M. The correct framework is that of projective systems. The projective limit is a universal space from which M can be recovered as a quotient. We
The Continuum Limit of Discrete Geometries
, 2005
"... In various areas of modern physics and in particular in quantum gravity or foundational spacetime physics it is of great importance to be in the possession of a systematic procedure by which a macroscopic or continuum limit can be constructed from a more primordial and basically discrete underlying ..."
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Cited by 3 (0 self)
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In various areas of modern physics and in particular in quantum gravity or foundational spacetime physics it is of great importance to be in the possession of a systematic procedure by which a macroscopic or continuum limit can be constructed from a more primordial and basically discrete
Lattices and their Continuum Limits
 J. Geom. Phys
, 1996
"... We consider finite approximations of a topological space M by noncommutative lattices of points. These lattices are structure spaces of noncommutative C ∗algebras which in turn approximate the algebra C(M) of continuous functions on M. We show how to recover the space M and the algebra C(M) from a ..."
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Cited by 13 (9 self)
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We consider finite approximations of a topological space M by noncommutative lattices of points. These lattices are structure spaces of noncommutative C ∗algebras which in turn approximate the algebra C(M) of continuous functions on M. We show how to recover the space M and the algebra C(M) from a projective system of noncommutative lattices and an inductive system of noncommutative C ∗algebras, respectively. Address after September 1 st: Departamento de Fisica Teorica, Facultade de Ciencias, Universitad
On the Continuum Limit of a . . .
, 2004
"... We consider finite difference approximations of solutions of inverse SturmLiouville problems in bounded intervals. Using threepoint finite difference schemes, we discretize the equations on socalled optimal grids constructed as follows: For a staggered grid with 2k points, we ask that the finite ..."
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of the coefficients in the continuum problem. If these coefficients are known, we can find the grid, which we call optimal because it gives, by design, a finite difference operator with a prescribed spectral measure. We focus attention on the inverse problem, where neither the coefficients nor the grid are known. A
NONCOMMUTATIVE LATTICES AND THEIR CONTINUUM LIMITS
, 1995
"... We consider finite approximations of a topological space M by noncommutative lattices of points. These lattices are structure spaces of noncommutative C ∗ algebras which in turn approximate the algebra C(M) of continuous functions on M. We show how to recover the space M and the algebra C(M) from a ..."
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We consider finite approximations of a topological space M by noncommutative lattices of points. These lattices are structure spaces of noncommutative C ∗ algebras which in turn approximate the algebra C(M) of continuous functions on M. We show how to recover the space M and the algebra C(M) from a projective system of noncommutative lattices and an inductive system of noncommutative C ∗algebras, respectively. Address after September 1 st: Departamento de Fisica Teorica, Facultade de Ciencias, Universitad
Results 1  10
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4,142