Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ouroboros Spaces: An Intuitive Approach to Self-Referential Functional
  Analysis with Applications to Probability Theory   In this paper, we aim to introduce the concept of the Ouroboros space and the
complimentary concept of the Ouroboros function by using the Ouroboros equation
[1] as our starting point. We start with a few univariate definitions, and then
move on to multivariate definitions. We contextualize and motivate these
concepts with a few examples. Then, we discuss a few aspects from probability
theory that are relevant to the idea of an Ouroboros space, eventually proving
two critical theorems. We briefly introduce the case of mixed domains, and
summarize our findings, while emphasizing the importance of self-referential
functions.

5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph