Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
We consider a system of particles undergoing the branching and annihilating reactions $\stackrel{\ensuremath{\rightarrow}}{A}(m+1)A$ and $A+\stackrel{\ensuremath{\rightarrow}}{A}\ensuremath{\emptyset},$ with m even. The particles move via long-range L\'evy flights, where the probability of moving a distance r decays as ${r}^{\ensuremath{-}d\ensuremath{-}\ensuremath{\sigma}}.$ We analyze this system of branching and annihilating L\'evy flights using field theoretic renormalization group techniques close to the upper critical dimension ${d}_{c}=\ensuremath{\sigma}$ with $\ensuremath{\sigma}<2.$ These results are then compared with Monte Carlo simulations in $d=1.$ For $\ensuremath{\sigma}$ close to unity in $d=1,$ the critical point for the transition from an absorbing to an active phase occurs at zero branching. However, for $\ensuremath{\sigma}$ bigger than about $3/2$ in $d=1,$ the critical branching rate moves away from zero with increasing $\ensuremath{\sigma},$ and the transition lies in a different universality class, inaccessible to controlled perturbative expansions. We measure the exponents in both universality classes and examine their behavior as a function of $\ensuremath{\sigma}.$
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.
Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it