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math.AP2026
Moving localized observations and Ces{à}ro asymptotic observability for conservative PDEs
Maarten V. de Hoop, Antti Kykkänen, Emmanuel Trélat
We develop a deterministic large-time mechanism yielding Ces{à}ro asymptotic observability inequalities from moving localized observations for conservative evolutions. On each obse…
math.AP2026
From PDEs on standard domains to self-similar particle systems on fractals
Georgi Medvedev, Emmanuel Trélat
We construct transported PDEs on self-similar fractal domains from reference equations posed on the unit interval, and derive explicit self-similar interacting particle systems tha…