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Record W564041143 · doi:10.1090/fic/051

Partially Hyperbolic Dynamics, Laminations, and Teichmüller Flow

2007· book· en· W564041143 on OpenAlexaff
Giovanni Forni, Mikhail Lyubich, Charles Pugh, Michael Shub

Bibliographic record

VenueAmerican Mathematical Society eBooks · 2007
Typebook
Languageen
FieldMathematics
TopicMathematical Dynamics and Fractals
Canadian institutionsUniversity of Toronto
Fundersnot available
KeywordsDynamics (music)Flow (mathematics)GeologyMathematicsGeometryPhysicsAcoustics

Abstract

fetched live from OpenAlex

Part I - Partially Hyperbolic Dynamics: How to put a stop to domination once and for all (and what comes afterwards) by L. J. Diaz A survey of partially hyperbolic dynamics by F. R. Hertz, M. A. R. Hertz, and R. Ures From hyperbolicity to dominated splitting by E. R. Pujals Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms by F. R. Hertz, M. A. R. Hertz, and R. Ures Part II - Teichmuller Dynamics: The $J$-invariant, exceptional surfaces and notions of periodicity by K. Calta and J. Smillie Finiteness results for flat surfaces: A survey and problem list by J. Smillie and B. Weiss Lyapunov exponents of Teichmuller flows by M. Viana Exponential decay of correlations for the Rauzy-Veech-Zorich induction map by A. Avila and A. Bufetov Unique ergodicity of translation flows by Y. Cheung and A. Eskin Combinatorial geometry of generic degenerations of quadratic differentials by H. Masur and A. Zorich Part III-Miscellaneous: Dynamics of foliated spaces in codimension greater than one by A. Bis A survey on minimality of horospheric laminations for rational functions by A. Glutsyuk Thermodynamics of inducing schemes and liftability of measures by Y. Pesin and K. Zhang Pseudo-Anosov maps and Wojtkowski's cone methods by M. Gerber Distribution of orbits for Mobius groups by M. Pollicott.

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 machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.004
Threshold uncertainty score0.012

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0000.001
Scholarly communication0.0020.003
Open science0.0000.001
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0040.001

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 head0.019
GPT teacher head0.284
Teacher spread0.265 · 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 source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
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
Published2007
Admission routes1
Has abstractyes

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