Tootfinder

Minimizing solutions of degenerate Allen-Cahn equations with three wells in $\mathbb{R}^2$
Lia Bronsard, \'Etienne Sandier, Peter Sternberg
https://arxiv.org/abs/2509.08111 …

Minimizing solutions of degenerate Allen-Cahn equations with three wells in $\mathbb{R}^2$
We characterize all minimizers of the vector-valued Allen-Cahn equation in $\mathbb{R}^2$ under the assumption that the potential $W$ has three wells and that the associated degenerate metric does not satisfy the usual strict triangle inequality. These minimizers depend on one variable only in a suitable coordinate system. In particular, we show that no minimizing solutions to $ Δu=\nabla W(u)$ on $\mathbb{R}^2$ can approach the three distinct values of the potential wells.

Novel Design of 3D Printed Tumbling Microrobots for in vivo Targeted Drug Delivery
Aaron C. Davis, Siting Zhang, Adalyn Meeks, Diya Sakhrani, Luis Carlos Sanjuan Acosta, D. Ethan Kelley, Emma Caldwell, Luis Solorio, Craig J. Goergen, David J. Cappelleri
https://arxiv.org/abs/2507.00166

Novel Design of 3D Printed Tumbling Microrobots for in vivo Targeted Drug Delivery
This paper presents innovative designs for 3D-printed tumbling microrobots, specifically engineered for targeted in vivo drug delivery applications. The microrobot designs, created using stereolithography 3D printing technologies, incorporate permanent micro-magnets to enable actuation via a rotating magnetic field actuator system. The experimental framework encompasses a series of locomotion characterization tests to evaluate microrobot performance under various conditions. Testing variables i…

Auf dem morgendlichen Brötchenholspaziergang noch ein nachtägliches Foto für den #Fensterfreitag aufgenommen. Zu sehen ist das leerstehende, verfallende Eden Parc Hotel in Bad Schwalbach. Die Fensterfassade wird teilweise vom roten Licht der aufgehenden Sonne beleuchtet. Poetisch gesprochen: Aurora wird diese künftige Ruine wohl auch nicht mehr wachküssen.

Mapping atmospheric features of the planetary-mass brown dwarf SIMP 0136 with JWST NIRISS
Roman Akhmetshyn, Etienne Artigau, Nicolas B. Cowan, Michael K. Plummer, Fei Wang, Ben Burningham, Bjorn Benneke, Rene Doyon, Ray Jayawardhana, David Lafreniere, Stanimir A. Metchev, Jason F. Rowe
https://arxiv.org/abs/2509.00149

Mapping atmospheric features of the planetary-mass brown dwarf SIMP 0136 with JWST NIRISS
In this paper, we analyze James Webb Space Telescope Near Infrared Imager and Slitless Spectrograph time-series spectroscopy data to characterize the atmosphere of the planetary-mass brown dwarf SIMP J01365662+093347. Principal component analysis reveals that 81\% of spectral variations can be described by two components, implying that variability within a single rotational phase is induced by at least three distinct spectral regions. By comparing our data to a grid of Sonora Diamondback atmosp…

Size-structured populations with growth fluctuations: Feynman--Kac formula and decoupling
Ethan Levien, Yair He\"in, Farshid Jafarpour
https://arxiv.org/abs/2508.14680 http…

Size-structured populations with growth fluctuations: Feynman--Kac formula and decoupling
We study a size--structured population model of proliferating cells in which biomass accumulation and binary division occur at rates modulated by fluctuating internal phenotypes. We quantify how fluctuations in internal variables that influence both growth and division shape the distribution of population phenotypes. We derive conditions under which the distributions of size and internal state decouple. Under this decoupling, population--level expectations are obtained from lineage-level expect…

Blind search for activity-sensitive lines in the near-infrared using HARPS and NIRPS observations of Proxima and Gl 581
Jo\~ao Gomes da Silva, Elisa Delgado-Mena, Nuno C. Santos, Telmo Monteiro, Pierre Larue, Alejandro Su\'arez Mascare\~no, Xavier Delfosse, Lucile Mignon, \'Etienne Artigau, Nicola Nari, Manuel Abreu, Jos\'e L. A. Aguiar, Khaled Al Moulla, Guillaume Allain, Romain Allart, Tomy Arial, Hugues Auger, Fr\'ed\'erique Baron, Susana C. C. Barros, Luc Bazine…

Blind search for activity-sensitive lines in the near-infrared using HARPS and NIRPS observations of Proxima and Gl 581
Stellar activity variability is one of the main obstacles to the detection of Earth-like planets using the RV method. The aim of this work is to measure the effect of activity in the spectra of M dwarfs and detect activity-sensitive lines in the NIR. We took advantage of the simultaneous observations of HARPS and the newly commissioned NIRPS spectrograph to carry out a blind search of the most activity-sensitive spectral lines in the NIR using NIRPS spectra and known activity indicators in the …

Simultaneous Contact Sequence and Patch Planning for Dynamic Locomotion
Victor Dh\'edin, Haizhou Zhao, Majid Khadiv
https://arxiv.org/abs/2508.12928 https://

Simultaneous Contact Sequence and Patch Planning for Dynamic Locomotion
Legged robots have the potential to traverse highly constrained environments with agile maneuvers. However, planning such motions requires solving a highly challenging optimization problem with a mixture of continuous and discrete decision variables. In this paper, we present a full pipeline based on Monte-Carlo tree search (MCTS) and whole-body trajectory optimization (TO) to perform simultaneous contact sequence and patch selection on highly challenging environments. Through extensive simulat…