CAS II: Orbits as Models: Kolmogorov's Structure Function under Symmetry 4K1CNBYJHF

URI	`m2://res/4K1CNBYJHF`
Kind	preprint
Creators	Romie Banerjee
Date	2026-09-30
Subjects	arxiv cs.IT, arxiv cs.AI, arxiv math.GR, arxiv math.IT
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
Canonical realisation	definition	definition 9.1	arxiv
24RR5CZERV	definition	definition 2.1	arxiv
Coordinates	statement	theorem 9.2	arxiv
Canonical cost	statement	proposition 3.3	arxiv
4NM2FF3M0H	statement	proposition 4.2	arxiv
Cells suffice	statement	corollary 4.3	arxiv
59FZTC3Z26	problem	problem 10.1	arxiv
Band	statement	theorem 7.1	arxiv
5XTN27D8G1	example	example 3.2	arxiv
75JMDZJ6P3	statement	theorem 5.1	arxiv
99DKK5MBPB	statement	lemma 2.2	arxiv
Dictionary	statement	theorem 4.4	arxiv
AJF3VAJ6M4	statement	proposition 3.1	arxiv
Complexity in coordinates	statement	proposition 9.3	arxiv
CQ47WN7KN8	example	example 3.6	arxiv
CWJ2T28TE8	definition	definition 6.1	arxiv
E8T1K77HNE	definition	definition 4.1	arxiv
Cells	statement	proposition 3.5	arxiv
Partition lemma	statement	lemma 2.4	arxiv
Type determines the hypothesis up to $n^2$ bits	statement	proposition 9.6	arxiv
GPJ8N6CYJG	statement	theorem 2.5	arxiv
GSTZ925HE7	example	example 6.2	arxiv
H51XRZE5FA	statement	corollary 5.2	arxiv
HGGDHD4WBN	definition	definition 3.4	arxiv
The canonical certificate can hide structure	example	example 9.5	arxiv
Maximal gap	statement	theorem 8.2	arxiv
N9MDXY6C3Z	problem	problem 7.2	arxiv
P90KAQZ1XH	statement	theorem 6.3	arxiv
Simple structure, invisible to symmetry	statement	corollary 8.3	arxiv
RG19ZR21XX	statement	corollary 8.1	arxiv
Burnside form	statement	proposition 4.5	arxiv
Placement dominates	statement	proposition 9.4	arxiv
ZDTMN42MG3	definition	definition 2.3	arxiv