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Latest papers

1. Binary-lens amplification of starlight: from magnification flares to quasi-periodic tracking of orbital evolution astro-ph.GA · 14 Oct · 1 hit

   …magnification and peak duration in different circumstances, and calculate the magnification curves and their Fourier transforms. This study may help construct search pipelines to identify SMBHBs in electromagnetic…

2. Transference principles for divergence sets of dispersive equations and their applications math.AP · 14 Oct · 1 hit

   …relation on linear dispersive PDEs on $\mathbb{R}^{n}$ based on the high-frequency oscillation of their Fourier multipliers, proving that equations in the same class share the same Hausdorff dimension of…

3. Analytical Time-Domain Waveforms for Black-Hole Scattering in the Self-Force Expansion gr-qc · 14 Oct · 1 hit

   …(PN/PM) expansion. The continuous frequency spectrum of unbound orbits makes the inverse Fourier transform to the time domain diverge order by order; we introduce a…

4. Cwikel estimates and Weyl's laws for $L\log L$ potentials on quantum tori math.OA · 14 Oct · 1 hit

   …T_\theta^d)$ and $S_\ell,T_\ell\in\Pi$, the $C^*$-algebra generated by $\lambda(C(\mathbb T_\theta^d))$ and Fourier multipliers with continuous symbols homogeneous of degree zero. We also prove a semiclassical Weyl's…

5. LLCT: Learnable Linear Canonical Transform Family with Stability for Visual Feature Processing math.FA · 14 Oct · 2 hits

   …(LCT) family. The framework treats the LCT family as parameterized analytical views spanning spatial, Fourier, and intermediate linear canonical representations. The framework has the following two complementary…

6. New bounds for $\mathrm{GL}(3)\times\mathrm{GL}(2)$ shifted convolution sums math.NT · 14 Oct · 1 hit

   …previously open case and obtaining a power saving of $1/22$. Here $\lambda_\pi(1,n)$ denotes the normalized Fourier coefficients of a Hecke--Maass cusp form $\pi$ on $\mathrm{SL}(3,\mathbb{Z})$, and $r(n,\mathcal{Q})$…

7. A Bregman Proximal Viewpoint on Neural Operators cs.LG · 14 Oct · 1 hit

   …of standard neural operators. Numerical experiments support the added benefits of the Bregman variant of Fourier neural operators for training deeper and more accurate models.

8. Strong subadditivity of topological entropy on the torus: R\'enyi order and non-Abelian structure quant-ph · 14 Oct · 1 hit

   …a fixed pointed category and fixed order above one, universal validity is equivalent to a same-order modular Fourier entropy bound for every pure state. Global homological constraints on actual unions and intersections…