χTopic tag
#lojasiewicz
2 documents indexed here. Mathematical objects, methods, systems, and recurring technical questions.
ℓNotes
2- Notes
Theorem H — Flow Stability
The Yang–Mills gradient flow converges to a stable critical point, with exponential rate when the Lojasiewicz exponent is 1/2, via real-analyticity and compactness.
- Notes
T14 — Gradient Flow Convergence (Łojasiewicz)
The projected gradient flow on Σ_m converges to a critical point. With analytic energy (b_D = 0), convergence is exponential via the Łojasiewicz inequality. The dynamical existence theorem — variational minimizers are reachable by descent.