Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Convergence of $n$-Particle Systems Using Bilinear Forms   The paper is concerned with the weak convergence of $n$-particle processes to
deterministic stationary paths as $n\to\infty$. A Mosco type convergence of a
class of bilinear forms is introduced. The Mosco type convergence of bilinear
forms results in a certain convergence of the resolvents of the $n$-particle
systems. Based on this convergence a criterion in order to verify weak
convergence of invariant measures is established. Under additional conditions
weak convergence of stationary $n$-particle processes to stationary
deterministic paths is proved. The method is applied to the particle
approximation of a Ginzburg-Landau type diffusion.
  The present paper is in close relation to the paper L\"obus (2011/2012).
Different definitions of bilinear forms and versions of Mosco type convergence
are introduced. Both papers demonstrate that the choice of the form and the
type of convergence relates to the particular particle system.

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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph