Tootfinder

A Greedy Version of the Frame Algorithm
Brody Dylan Johnson
https://arxiv.org/abs/2506.18865 https://arxiv.org/pdf/2506.18865

A Greedy Version of the Frame Algorithm
The frame algorithm uses a simple recursive formula to approximate an unknown vector from its frame coefficients. This note introduces an adaptive version of the frame algorithm that maximizes the error reduction between steps in terms of an equivalent norm. This greedy version of the frame algorithm is proven to achieve the same guaranteed convergence rate as the traditional frame algorithm, yet, unlike its classical counterpart, does not require knowledge of the frame bounds. The robustness o…

Improving Online Bin Covering with Little Advice
Andrej Brodnik, Bengt J. Nilsson, Gordana Vujovi\'c
https://arxiv.org/abs/2506.09004 https://

Improving Online Bin Covering with Little Advice
The online bin covering problem is: given an input sequence of items find a placement of the items in the maximum number of bins such that the sum of the items' sizes in each bin is at least~1. Boyar~{\em et~al}.\@~\cite{boyar2021} present a strategy that with $O(\log \log n)$ bits of advice, where $n$ is the length of the input sequence, achieves a competitive ratio of $8/15\approx0.5333\ldots$. We show that with a strengthened analysis and some minor improvements, the same strategy achieves t…

A Hot Jupiter with a Retrograde Orbit around a Sun-like Star and a Toy Model of Hot Jupiters in Wide Binary Star Systems
Steven Giacalone, Andrew W. Howard, Ryan A. Rubenzahl, Fei Dai, Luke B. Handley, Howard Isaacson, Samuel Halverson, Max Brodheim, Matt Brown, Theron W. Carmichael, William Deich, Benjamin J. Fulton, Steven R. Gibson, Grant M. Hill, Bradford Holden, Aaron Householder, Russ R. Laher, Kyle Lanclos, Joel Payne, Erik A. Petigura, Arpita Roy, Christian Schwab, Martin M. Si…

A Hot Jupiter with a Retrograde Orbit around a Sun-like Star and a Toy Model of Hot Jupiters in Wide Binary Star Systems
We report an observation of a transit of the hot Jupiter (HJ) KELT-23A b with the Keck Planet Finder spectrograph and a measurement of the sky-projected obliquity ($λ$) of its Sun-like ($T_{\rm eff} \approx 5900$ K) host star. We measured a projected stellar obliquity of $λ\approx 180^\circ$, indicating that the orbit of the HJ is retrograde relative to the direction of the stellar spin. Due to the slow sky-projected rotational velocity of the host star ($v \sin{i_\star} \approx 0.5$ km s$^{-…

Current Crowding in a High-Efficiency Black Phosphorus Light-Emitting Diode Using a Reflective Back Contact
Julien Brodeur, \'Elo\"ise Rahier, Mathieu Chartray-Pronovost, \'Etienne Robert, Oussama Moutanabbir, St\'ephane K\'ena-Cohen
https://arxiv.org/abs/2506.09835 …

Current Crowding in a High-Efficiency Black Phosphorus Light-Emitting Diode Using a Reflective Back Contact
We demonstrate a high-performance mid-infrared (MIR) light-emitting diode (LED) based on a black phosphorus (b-P)/n-MoS$_2$ heterojunction. A gold back contact combined with a rhenium-doped n-type MoS$_2$ layer is used to enhance light extraction. The device shows a MIR peak external quantum efficiency (EQE) of (1.6 $\pm$ 0.2) % at room temperature and a record (7.0 $\pm$ 0.5) % EQE at 77 K, with a maximum radiant power density of (108 $\pm$ 8) W/cm2. Finite-element simulations highlight the im…