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Upper deviations of the Sherrington-Kirkpatrick free energy: the fifth-order law and the onset of constrained Parisi measures 2Y47E704Z9

URIm2://res/2Y47E704Z9
Kindpreprint
CreatorsYan Ru Pei
Date2026-10-05
MSC60-XX, 81-XX
Subjectsarxiv math.PR, arxiv cond-mat.dis-nn, arxiv math-ph, arxiv math.MP
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-05
IdsarXiv 2610.06480, zbl_id 903199016

Items in this resource

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

ItemKindWhereSource
Gaussian jetsstatementlemma F.5arxiv
Elementary bounds on the classstatementlemma F.1arxiv
Levels and the level identitystatementcorollary 3.4arxiv
The equilibrium measure near zerostatementproposition 2.2arxiv
The first plateaustatementcorollary 4.10arxiv
The atomstatementproposition 7.3arxiv
Slope at equilibriumstatementproposition 7.1arxiv
The small-field lawsstatementcorollary C.2arxiv
62FBTTKVEWstatementcorollary 2.7arxiv
Guerra's bound for fractional momentsstatementproposition B.6arxiv
Local plateau positivitystatementlemma 4.6arxiv
Two-atom measuresstatementlemma F.2arxiv
Confinementstatementlemma 8.2arxiv
8SBP2FQT1Dstatementproposition 8.8arxiv
The marginal levelsstatementcorollary 8.12arxiv
The measures with a cubic termstatementproposition E.1arxiv
It\^o identities from a nonzero starting pointstatementlemma 6.3arxiv
Gap exclusionstatementlemma 4.7arxiv
No gaps between contacts below $K$statementlemma 8.3arxiv
CB6P1MGE2Jstatementcorollary 6.11arxiv
Approximation by finitely supported measuresstatementlemma B.5arxiv
Sufficiency of the de Almeida--Thouless conditionstatementlemma F.4arxiv
Interval support near criticalitystatementproposition 8.4arxiv
ET2CRKD7GMdefinitiondefinitionarxiv
Contact conditionsstatementlemma 4.3arxiv
The plateau acts through its first momentstatementlemma G.2arxiv
Closure by the common contactstatementlemma G.3arxiv
Shape of the constrained minimizersstatementlemma 8.6arxiv
Envelope identitystatementproposition 2.1arxiv
GJ7HNH8TQSstatementlemma E.2arxiv
The near-critical classstatementproposition 8.5arxiv
Laws above the first contactstatementlemma G.4arxiv
The original Sherrington--Kirkpatrick modelstatementlemma B.2arxiv
Derivative of the interpolationstatementlemma B.7arxiv
Regular levelsstatementlemma 3.3arxiv
The universal cubicstatementlemma 4.9arxiv
The constrained problemstatementlemma 3.2arxiv
It\^o identitiesstatementlemma 4.2arxiv
Upper deviations of the free energystatementlemma B.1arxiv
The de Almeida--Thouless thresholdstatementproposition 8.11arxiv
The branch functionsstatementlemma F.6arxiv
The replica-symmetric branchstatementlemma F.3arxiv
The area of the first plateaustatementlemma 2.4arxiv
Kondor's limitstatementproposition 8.7arxiv
Standard propertiesstatementlemma 3.1arxiv
Universal signstatementlemma 4.4arxiv
Marginal onsetstatementproposition 2.3arxiv
Two identities on a plateaustatementlemma 4.8arxiv
No gaps near the originstatementlemma 6.6arxiv
QZABP5MK21statementproposition 8.9arxiv
Relations on the supportsstatementlemma G.1arxiv
The fractional-moment formula for the Sherrington--Kirkpatrick modelstatementlemma B.4arxiv
Positivity of the plateau polynomialstatementlemma 8.1arxiv
Symmetry, the initial gap and optimalitystatementlemma 6.2arxiv
Gaussian moments of an odd profilestatementlemma 6.8arxiv
Stability above the first contactstatementproposition 8.14arxiv
The bottom of the support for small fieldsstatementlemma 6.7arxiv
Jetsstatementlemma A.1arxiv
Couplingstatementlemma A.2arxiv
Plateau positivity, uniformly in a small fieldstatementlemma 6.5arxiv
Zero lies in the supportstatementlemma 5.1arxiv
Continuity in the fieldstatementlemma 6.4arxiv
Plateau lawstatementlemma 4.1arxiv

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