Tootfinder

Cancellation in Sums of Hecke Eigenvalues Over Quadratic Polynomials and Mass Equidistribution
Steven Creech
https://arxiv.org/abs/2508.18666 https://arxiv…

Cancellation in Sums of Hecke Eigenvalues Over Quadratic Polynomials and Mass Equidistribution
We study cancellation in sums of Hecke eigenvalues over irreducible quadratic polynomials over short intervals. In particular, we look at an average over bases of Hecke forms of weight $k$ in the range $\vert k-K\vert

Bumblebee vector-tensor dark energy
Carsten van de Bruck, Mohammad Ali Gorji, Nils A. Nilsson, Masahide Yamaguchi
https://arxiv.org/abs/2509.11647 https://…

Bumblebee vector-tensor dark energy
Bumblebee models, a class of vector-tensor theories in which a vector field acquires a nonzero vacuum expectation value that spontaneously breaks spacetime symmetries, are ubiquitous in the literature. In this paper, we highlight several often-overlooked properties of these models by analyzing their cosmological perturbations. We show that a non-minimal coupling to gravity is essential for the stability of the setup. However, avoiding propagation of a ghost mode then requires imposing a relatio…

XR Blocks: Accelerating Human-centered AI XR Innovation
David Li, Nels Numan, Xun Qian, Yanhe Chen, Zhongyi Zhou, Evgenii Alekseev, Geonsun Lee, Alex Cooper, Min Xia, Scott Chung, Jeremy Nelson, Xiuxiu Yuan, Jolica Dias, Tim Bettridge, Benjamin Hersh, Michelle Huynh, Konrad Piascik, Ricardo Cabello, David Kim, Ruofei Du
https://arxiv.org…

XR Blocks: Accelerating Human-centered AI + XR Innovation
We are on the cusp where Artificial Intelligence (AI) and Extended Reality (XR) are converging to unlock new paradigms of interactive computing. However, a significant gap exists between the ecosystems of these two fields: while AI research and development is accelerated by mature frameworks like JAX and benchmarks like LMArena, prototyping novel AI-driven XR interactions remains a high-friction process, often requiring practitioners to manually integrate disparate, low-level systems for percep…