منابع مشابه
Multi – matrix models without continuum limit
We derive the discrete linear systems associated to multi–matrix models, the corresponding discrete hierarchies and the appropriate coupling conditions. We also obtain the W 1+∞ constraints on the partition function. We then apply to multi– matrix models the technique, developed in previous papers, of extracting hierarchies of differential equations from lattice ones without passing through a c...
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A random graph order, also known as a transitive percolation process, is defined by taking a random graph on the vertex set {0, . . . , n− 1}, and putting i below j if there is a path i = i1 · · · ik = j in the graph with i1 < · · · < ik. In [15], Rideout and Sorkin provide computational evidence that suitably normalised sequences of random graph orders have a “continuum limit”. We confirm that...
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Our increasing ability to carry out unquenched simulations means that the quenched approximation is no longer required. There is an outstanding issue associated with the quenched continuum limit, however, which we address here. At the same time we point out the ingredients that are necessary to obtain an accurate result in the continuum limit, since these ingredients will also be important for ...
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We present a formalism to derive the stochastic differential equations (SDEs) for several solid-on-solid growth models. Our formalism begins with a mapping of the microscopic dynamics of growth models onto the particle systems with reactions and diffusion. We then write the master equations for these corresponding particle systems and find the SDEs for the particle densities. Finally, by connec...
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Stochastic growth models which generalize GaltonWatson branching processes are discussed. The models have an interpretation in population dynamics and economics. The individuals or particles do interact, e.g. if the individuals represent members of a population, allowance is made for sexual reproduction, so that pairs of individuals are needed to produce offspring. The typical form of the resul...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2002
ISSN: 0304-4149
DOI: 10.1016/s0304-4149(02)00100-x