An Analytical Framework for a Multi-Particle Oja Flow N3P196CEAJ

URI	`m2://res/N3P196CEAJ`
Kind	preprint
Creators	Sixu Li
Date	2026-09-27
MSC	37-XX, 35-XX
Subjects	arxiv math.DS, arxiv math.AP, arxiv nlin.AO
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Stationary distribution within the ACG family in Example 2	statement	lemma A.3	arxiv
5C1SGRYD9T	statement	lemma 2.2	arxiv
5CZEQNZG26	definition	definition	arxiv
Well-posedness of the mean-field equation	statement	theorem 2.4	arxiv
A characterization of the angular central Gaussian family	statement	proposition A.1	arxiv
89D2TERRMP	statement	lemma 3.5	arxiv
Mean-field convergence	statement	corollary 2.5	arxiv
JQHJGBY3H0	example	example 1	arxiv
JRD92C5XCH	statement	lemma A.5	arxiv
Reduction within the angular central Gaussian family	statement	theorem 3.9	arxiv
Closure under a transformation	definition	definition 3.4	arxiv
KYF00F4A3P	example	example 2	arxiv
M5YCTR2FXE	example	example 3	arxiv
Representation via normalized linear transformations	statement	theorem 3.1	arxiv
Asymptotic behavior of $\Sigma(t)$ in Example 1	statement	lemma A.2	arxiv
Projected distributions	definition	definition 3.6	arxiv
Angular central Gaussian reduction for Example $3$	statement	lemma A.4	arxiv
XSMFJZR6S6	statement	proposition 3.10	arxiv
Well-posedness of the finite-particle system	statement	theorem 2.3	arxiv
Identification of invariant parametric families	statement	proposition 3.7	arxiv