Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new proof of Liggett's theorem for non-interacting Brownian motions   In this note, we give a new proof of Liggett's theorem on the invariant
measures of independent particle systems from [Lig78] in the particular case of
independent drifted Brownian motions. This particular case has received a lot
of attention recently due to its applications for the analysis of the local
extrema of discrete Gaussian free field. The novelty of our proof is that it
identifies directly the expected Poisson Point Process with exponential
intensity without relying on the Choquet-Deny convolution equation $\mu *
P=\mu$ ([ChoquetDeny60,Deny60]).

22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph