منابع مشابه
The Weak-Coupling Limit of 3D Simplicial Quantum Gravity
We investigate the weak-coupling limit, κ → ∞, of 3D simplicial gravity using Monte Carlo simulations and a Strong Coupling Expansion. With a suitable modification of the measure we observe a transition from a branched polymer to a crinkled phase. However, the intrinsic geometry of the latter appears similar to that of non-generic branched polymer, probable excluding the existence of a sensible...
متن کاملThe Weak-Coupling Limit of Simplicial Quantum Gravity
In the weak-coupling limit, κ0 → ∞, the partition function of simplicial quantum gravity is dominated by an ensemble of triangulations with the ratio N0/ND close to the upper kinematic limit. For a combinatorial triangulation of the D–sphere this limit is 1/D. Defining an ensemble of maximal triangulations, i.e. triangulations that have the maximal possible number of vertices for a given volume...
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The main aim of this work is to establish an averaging principle for a wide class of interacting particle systems of birth-and-death type in the continuum. This principle is an important step in the analysis of Markov evolutions and is usually applied for the associated semigroups related to backward Kolmogorov equations, c.f. [Kur73]. Our approach is based on the study of forward Kolmogorov eq...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2004
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2004.05.045