Continuity of the extremal decomposition of the free state for finite-spin models on Cayley trees YBBKTP4E70

URI	`m2://res/YBBKTP4E70`
Kind	preprint
Creators	Loren Coquille, Christof Kuelske, Arnaud Le Ny
Date	2023-10-17
MSC	60-XX, 81-XX
Subjects	arxiv math.PR, arxiv cond-mat.stat-mech, arxiv math-ph, arxiv math.MP
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
Bad events	definition	definition 4.5	arxiv
Excess Energy Lemma {[, Lemma 2	statement	lemma 4.5	arxiv
5M5E50BXN2	statement	theorem 4.1	arxiv
812YBPA3TN	statement	lemma 4.9	arxiv
Contour with respect to a fixed configuration $\omega^0$	definition	definition 4.3	arxiv
99939HXH2X	definition	definition 4.2	arxiv
9CC2600DEK	statement	theorem 2.2	arxiv
A9178NERKT	statement	lemma 4.1	arxiv
B1BZ8VJBC1	definition	definition 2.1	arxiv
CDH8MA8VXQ	definition	definition 4.6	arxiv
Lazyness parameter	definition	definition 2.2	arxiv
ETTYN8GE0N	statement	theorem 3.2	arxiv
Key Lemma	statement	lemma 4.6	arxiv
Almost-sure singularity of extremals	statement	theorem 3.3	arxiv
Peierls bound	statement	lemma 4.3	arxiv
KD3GD87WK3	statement	lemma 4.7	arxiv
Branch overlap	statement	theorem 3.4	arxiv
MAVNGPTZR5	statement	theorem 3.1	arxiv
Entropy bound, {[,Lemma 6	statement	lemma 4.4	arxiv
Thinned branch overlaps	definition	definition 3.2	arxiv
QK7G06XQ24	statement	theorem 2.3	arxiv
QQ3K2A04XM	statement	theorem 2.1	arxiv
RD7PTRKJT3	statement	corollary 3.2	arxiv
RQA8XX6FXE	definition	definition 4.1	arxiv
Central state Edwards-Anderson parameter	definition	definition 3.1	arxiv
Set of broken bonds	definition	definition 4.4	arxiv
TMAJKDR95S	statement	corollary 3.1	arxiv
VEPFGVX032	statement	lemma 4.2	arxiv
Y54BV0B34K	statement	lemma 4.8	arxiv