Tootfinder

The Diversity of Exoplanetary Environments and the Search for Signs of Life Beyond Earth
Sara Seager, Janusz J. Petkowski, William Bains
https://arxiv.org/abs/2506.11690

The Diversity of Exoplanetary Environments and the Search for Signs of Life Beyond Earth
Thousands of exoplanets orbit nearby stars, showcasing a remarkable diversity in mass, size, and orbits. With the James Webb Space Telescope now operational, we are observing exoplanet atmospheres and aiming to reach down to small, habitable-zone exoplanets in search of signs of habitability and possibly even biosignature gases. Given the scarcity of targets, it is imperative to embrace the known diversity and consider the range of exoplanets that might host life. We review how Earth life inter…

Bifurcation from periodic solutions of central force problems in the three-dimensional space
Alberto Boscaggin, Guglielmo Feltrin, Duccio Papini
https://arxiv.org/abs/2506.05842

Bifurcation from periodic solutions of central force problems in the three-dimensional space
The paper deals with electromagnetic perturbations of a central force problem of the form \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t} \bigl( φ(\dot{x}) \bigr) = V'(|x|) \dfrac{x}{|x|} + E_{\varepsilon}(t,x)+\dot{x} \wedge B_{\varepsilon}(t,x), \qquad x \in \mathbb{R}^3 \setminus \{0\}, \end{equation*} where $V \colon (0,+\infty) \to \mathbb{R}$ is a smooth function, $E_\varepsilon$ and $B_\varepsilon$ are respectively the electric field and the magnetic field, smooth …

Joint Modeling for Learning Decision-Making Dynamics in Behavioral Experiments
Yuan Bian, Xingche Guo, Yuanjia Wang
https://arxiv.org/abs/2506.02394 https:…

Joint Modeling for Learning Decision-Making Dynamics in Behavioral Experiments
Major depressive disorder (MDD), a leading cause of disability and mortality, is associated with reward-processing abnormalities and concentration issues. Motivated by the probabilistic reward task from the Establishing Moderators and Biosignatures of Antidepressant Response in Clinical Care (EMBARC) study, we propose a novel framework that integrates the reinforcement learning (RL) model and drift-diffusion model (DDM) to jointly analyze reward-based decision-making with response times. To acc…