Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on algebraic dynamics in positive characteristic   In this paper, we study arithmetic dynamics in arbitrary characteristic, in
particular in positive characteristic. We generalise some basic facts on
arithmetic degree and canonical height in positive characteristic. As
applications, we prove the dynamical Mordell-Lang conjecture for automorphisms
of projective surfaces of positive entropy, the Zariski dense orbit conjecture
for automorphisms of projective surfaces and for endomorphisms of projective
varieties with large first dynamical degree. We also study ergodic theory for
constructible topology. For example, we prove the equidistribution of backward
orbits for finite flat endomorphisms with large topological degree. As
applications, we give a simple proof for weak dynamical Mordell-Lang and prove
a counting result for backward orbits without multiplicities. This gives some
applications for equidistributions on Berkovich spaces.

33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
19
The categories of this paper are: eess
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The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg