Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jump processes as Generalized Gradient Flows   We have created a functional framework for a class of non-metric gradient
systems. The state space is a space of nonnegative measures, and the class of
systems includes the Forward Kolmogorov equations for the laws of Markov jump
processes on Polish spaces. This framework comprises a definition of a notion
of solutions, a method to prove existence, and an archetype uniqueness result.
We do this by using only the structure that is provided directly by the
dissipation functional, which need not be homogeneous, and we do not appeal to
any metric structure.

21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph