Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introduction to (generalized) Gibbs measures   These notes have been written to complete a mini-course "Introduction to
(generalized) Gibbs measures" given at the universities UFMG (Universidade
Federal de Minas Gerais, Belo Horizonte, Brasil) and UFRGS (Universidade
Federal do Rio Grande do Sul, Porto Alegre, Brasil) during the first semester
2007. The main goal of the lectures was to describe Gibbs and generalized Gibbs
measures on lattices at a rigorous mathematical level, as equilibirum states of
systems of a huge number of particles in interaction. In particular, our main
message is that although the historical approach based on potentials has been
rather successful from a physical point of view, one has to insist on (almost
sure) continuity properties of conditional probabilities to get a proper
mathematical framework.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
1
The categories of this paper are: cs