Research Atlas · Theme
Persistence, regularity, restart, dynamic stability, and the anatomy of breakdown.
Theme archive
This page is a cross-corpus projection: technical papers and notebook pieces remain distinct objects, but can be browsed together when they address the same durable research question.
6 works
A machine-checked H² theory of finite-energy regularity escape.
Finite maximality is resolved into bounded kinetic energy, eventual H² divergence, escape beyond every fixed Fourier cutoff, positive-scale regularity, and collapse of uniform continuation reserve.
Spectral transfer, terminal nonlinear H² work, and simultaneous failure of nonendpoint continuation controls.
The continuation anatomy is sharpened through finite-annulus spectral budgets, unbounded terminal nonlinear H² work, and simultaneous failure of nonendpoint continuation regimes.
Terminal magnification, intrinsic restart, and analytic rigidity at the L∞t L³x boundary.
Bounded terminal L³ forces global continuation, while finite maximal time forces infinite terminal L³ limsup through magnification, restart, backward identification, and rigidity.
A machine-checked operator theory of terminal self-adjoint laws and Friedrichs selection.
A Hardy-critical radial operator with a genuine family of self-adjoint terminal laws is reduced by a ground-state form to the Friedrichs-selected no-log realization.
A machine-checked continuum Fock theory and real-scalar physical Cauchy evolution.
Friedrichs selection is propagated into positive one-particle frequency, continuum bosonic Fock dynamics, and an independently action-derived physical Cauchy theory.
Relational comparability, developmental direction, and representation stability across the Mouse Organogenesis Spatiotemporal Transcriptomic Atlas.
A stage-blind spatial-relational carrier reveals recurrence and many-to-many organization; local directional resolution depends on comparison context while the aggregate directional sign persists across the tested representation family.