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Record W4401184583 · doi:10.1214/23-aihp1394

Backbone scaling limits for random walks on random critical trees

2024· article· fr· W4401184583 on OpenAlexaff
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh

Bibliographic record

VenueAnnales de l Institut Henri Poincaré Probabilités et Statistiques · 2024
Typearticle
Languagefr
FieldMathematics
TopicStochastic processes and statistical mechanics
Canadian institutionsUniversité de Montréal
Fundersnot available
KeywordsCombinatoricsPercolation (cognitive psychology)Random walkScalingMathematicsPhysicsHumanitiesStatistical physicsGeometryPhilosophyStatistics

Abstract

fetched live from OpenAlex

Nous prouvons l’existence de la limite d’échelle pour la projection sur la lignée infinie de la marche aléatoire sur l’amas de percolation critique infini conditionné (IIC). Nous considérons aussi le cas de l’amas de percolation d’invasion d’un arbre régulier. Nous étudions ces marches projetées comme des marches aléatoires piégées de manière aléatoire (comme définies dans (Ann. Probab. 43 (2015) 2405–2457)). Nous pouvons décrire ces limites d’échelle comme des mouvements Browniens subordonnés spatialement.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.003
metaresearch head score (Gemma)0.031
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMetaresearch, Meta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.335
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0030.031
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0000.000
Science and technology studies0.0010.001
Scholarly communication0.0010.001
Open science0.0010.000
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.075
GPT teacher head0.394
Teacher spread0.319 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designTheoretical or conceptual
Domainnot available
GenreMethods

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2024
Admission routes1
Has abstractyes

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