Focal Interest
Focal Interest

Stability (learning theory)

  1. Finite element scheme gives optimal error bounds for corotational harmonic map heat flow
  2. Localized BFSS phases are linked to instability and phase transitions
  3. Explicit linear stable ranges for configuration-space homotopy groups
  4. Rapid carbon pricing can create macro-financial instability
    Integrated modeling shows rapid decarbonization via carbon pricing creates macro-financial risks, treatable through coordinated climate and economic stabilization policies.
  5. Chirality affects microcritical, not macrocritical, stability
    Analysis of periodic lattice metamaterials with rigid joints shows chirality affects microscale stability but not macroscale stability, enabling tailored critical mode activation.
  6. Nonlocal media support dark, antidark, and mixed soliton pairs
    Researchers identify two families of vector soliton pairs in nonlocal nonlinear systems, including novel mixed-polarity solutions with symmetry-breaking structure.
  7. Greedy hybrid pathway balances emissions, cost, and reliability
    Explore Taiwan's energy transition pathways using greedy algorithm optimization to balance nuclear power, emissions reduction, costs, and grid stability through 2050.
  8. Rumor model identifies thresholds for extinction and persistence
    Mathematical analysis of rumor propagation using compartmental models with reproduction numbers and control strategies for misinformation mitigation through fact-checking and contact reduction.
  9. Media-linked fear spread rises with loss of awareness
    Mathematical model analyzing epidemic fear propagation dynamics incorporating psychological compartments, media influence, and interpersonal contact under COVID-19 parameterization.
  10. hsa-miR-96-5p validated as a reference for vitreous humor PMI estimation
    Validation of hsa-miR-96-5p as a stable endogenous reference gene for qPCR-based post-mortem interval estimation in vitreous humor forensic analysis.
  11. Russian cognitive distortions form a hierarchical co-occurrence network
    Study validates cognitive distortion architecture in Russian discourse using AI analysis of 249,414 social media texts, identifying 443,447 distortion instances across 18 categories with stable.