Results 141 to 150 of about 79,186 (232)

Character sum, reciprocity, and Voronoi formula

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley   +1 more source

An integrated platform for 2‐D and 3‐D optical and electrical mapping of arrhythmias in Langendorff‐perfused rabbit hearts

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles   +8 more
wiley   +1 more source

Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley   +1 more source

Numerical Computation of the Rosenblatt Distribution and Applications

open access: yesStat, Volume 14, Issue 4, December 2025.
ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
wiley   +1 more source

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