Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equilibrium Kawasaki dynamics of continuous particle systems   We construct a new equilibrium dynamics of infinite particle systems in a
Riemannian manifold $X$. This dynamics is an analog of the Kawasaki dynamics of
lattice spin systems. The Kawasaki dynamics now is a process where interacting
particles randomly hop over $X$. We establish conditions on the {\it a priori}
explicitly given symmetrizing measure and the generator of this dynamics, under
which a corresponding conservative Markov processes exists. We also outline two
types of scaling limit of the equilibrium Kawasaki dynamics: one leading to an
equilibrium Glauber dynamics in continuum (a birth-and-death process), and the
other leading to a diffusion dynamics of interacting particles (in particular,
the gradient stochastic dynamics).

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn