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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Inbo Gottlieb Fenves

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Preprint Sep 2026

Sharp lower bounds for the periodic maximal Schr\"odinger operator in higher dimensions

We prove sharp lower bounds for the Schr\"odinger maximal function on the torus T^d for all dimensions d at least 2, and as a corollary obtain sharp regularity conditions for pointwise convergence of the periodic Schr\"odinger equation. Combined with sufficiency results established by Compaan-Luc\'a-Staffilani, this yi...

Inbo Gottlieb Fenves, Jia-Hao Tan · 0 citations
Preprint Aug 2026

Maximal estimates for perturbations of the Schr\"odinger operator on $\mathbb{T}^d$

We study $L^p_x L^\infty_t$ maximal estimates for exponential sums associated to $C^2$ graph hypersurfaces, motivated by Schr\"odinger maximal estimates on $\mathbb{T}^d$. We show that the conjectured maximal estimate for the periodic Schr\"odinger equation fails when one allows small perturbations of the paraboloid, w...

Inbo Gottlieb Fenves, Jia-Hao Tan · 0 citations

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