Tootfinder

Developing a Cost-Effective Spectrometer: A Practical Approach
Mohammad Tahsin Alam, Zafrin Jahan Nikita, Yasir Mahmud, Rafichha Yeasmin, Fairuz Darimi Bushra, Sheikh Hasib Cheragee, Redwanul Talukder Zeem
https://arxiv.org/abs/2510.06703

Developing a Cost-Effective Spectrometer: A Practical Approach
The paper demonstrates the design and execution of a low-cost optical spectrometer that employs a webcam, diffraction grating & Python (a free, open-source programming language). The device's design prioritized economy and usability, with a black box casing to reduce stray light and increase measurement accuracy. A diffraction grating made from a DVD was used to split light into its constituent wavelengths, which were then collected by the camera. The calibration procedure used a RED TIDE USB65…

Two-Impulse Trajectory Design in Two-Body Systems With Riemannian Geometry
Samuel G. Gessow, James Tseng, Eden Zafran, Brett T. Lopez
https://arxiv.org/abs/2508.11612 https://…

Two-Impulse Trajectory Design in Two-Body Systems With Riemannian Geometry
This work presents a new method for generating impulsive trajectories in restricted two-body systems by leveraging Riemannian geometry. The proposed method transforms the standard trajectory optimization problem into a purely geometric one that involves computing a set of geodesics for a suitable Riemannian metric. This transformation is achieved by defining a metric, specifically the Jacobi metric, that embeds the dynamics directly into the metric, so any geodesic of the metric is also a dynam…

Zeta functions of abstract isogeny graphs and modular curves
Jun Bo Lau, Travis Morrison, Eli Orvis, Gabrielle Scullard, Lukas Zobernig
https://arxiv.org/abs/2509.15214 https://…

Zeta functions of abstract isogeny graphs and modular curves
We introduce a ``non-orientable'' variation of Serre's definition of a graph, which we call an abstract isogeny graph. These objects capture the combinatorics of the graphs $G(p,\ell,H)$, the $\ell$-isogeny graphs of supersingular elliptic curves with $H$-level structure. In particular they allow for the study of non-backtracking walks, primes, and zeta functions. We prove an analogue of Ihara's determinant formula for the zeta function of an abstract isogeny graph. For $B_1(N) \subseteq H \sub…

Persuasion Gains and Losses from Peer Communication
Toygar T. Kerman, Anastas P. Tenev, Konstantin Zabarnyi
https://arxiv.org/abs/2509.09099 https://arxiv.…

Persuasion Gains and Losses from Peer Communication
We study a Bayesian persuasion setting in which a sender wants to persuade a critical mass of receivers by revealing partial information about the state to them. The homogeneous binary-action receivers are located on a communication network, and each observes the private messages sent to them and their immediate neighbors. We examine how the sender's expected utility varies with increased communication among receivers. We show that for general families of networks, extending the network can str…

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