Tootfinder

Exponential convergence for ultrafast diffusion equations with log-concave weights
Max Fathi, Mikaela Iacobelli
https://arxiv.org/abs/2507.13060 https://…

Exponential convergence for ultrafast diffusion equations with log-concave weights
We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log-concave and log-lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in [22]. This equation is motivated by the gradient flow approach to the problem of quantization of measures introduced in [11].

Parking functions and chip-firing on hypergraphs
Timothy Blanton, Anton Dochtermann, Isabelle Hong, SuHo Oh, Zhan Zhan
https://arxiv.org/abs/2508.09720 https://

Parking functions and chip-firing on hypergraphs
For a connected graph $G$ with sink vertex $q$, a $G$-parking function is a vector of nonnegative integers whose entries are determined by cut-sets in $G$. Such objects also arise as the superstable configurations in the context of chip-firing. The set of all $G$-parking functions have various algebraic and combinatorial properties; for instance they relate to evaluations of the Tutte polynomial and in particular are counted by spanning trees of $G$. We extend these constructions to the setting…

San Leandro teen charged with shooting & killing 17 yr old girlfriend in her bedroom, is freed from custody by empathetic judge who rejects #prosecution theory of intentional #murder.
#Prosecutors have refiled murder …

San Leandro teen released from jail after judge rejects girlfriend murder theory
A judge said he doubted the DA’s theory behind the recent fatal shooting of Izabella Raquedan-Retuta, allegedly shot by her boyfriend inside her bedroom.

Integrating Vision Foundation Models with Reinforcement Learning for Enhanced Object Interaction
Ahmad Farooq, Kamran Iqbal
https://arxiv.org/abs/2508.05838 https://

Integrating Vision Foundation Models with Reinforcement Learning for Enhanced Object Interaction
This paper presents a novel approach that integrates vision foundation models with reinforcement learning to enhance object interaction capabilities in simulated environments. By combining the Segment Anything Model (SAM) and YOLOv5 with a Proximal Policy Optimization (PPO) agent operating in the AI2-THOR simulation environment, we enable the agent to perceive and interact with objects more effectively. Our comprehensive experiments, conducted across four diverse indoor kitchen settings, demons…

Quantum optical reset with classical memory
Evgeniy O. Kiktenko, Oleg M. Sotnikov, Ilia A. Iakovlev, Yuri A. Biriukov, Aleksey K. Fedorov, Stanislav S. Straupe, Ivan V. Dyakonov, Vladimir V. Mazurenko
https://arxiv.org/abs/2509.02980

Quantum optical reset with classical memory
Dynamic quantum circuits generate states that depend on the measurement results obtained during circuit execution. To date such a quantum computing model has mainly been implemented with qubit-based superconducting hardware utilizing reset operations and classical logic. Here we develop a model of optical reset by using time-bin self-looped interferometers demonstrated in recent experiments. Synchronizing the optical reset with a simple classical device storing history of measurement results al…

The Algebraic Structure of Morphosyntax
Isabella Senturia, Matilde Marcolli
https://arxiv.org/abs/2507.00244 https://arxiv.org/pdf/25…

The Algebraic Structure of Morphosyntax
Within the context of the mathematical formulation of Merge and the Strong Minimalist Thesis, we present a mathematical model of the morphology-syntax interface. In this setting, morphology has compositional properties responsible for word formation, organized into a magma of morphological trees. However, unlike syntax, we do not have movement within morphology. A coproduct decomposition exists, but it requires extending the set of morphological trees beyond those which are generated solely by …

Thanks to @…, TIL the word “petrichor!” More from Wikipedia:
❝Petrichor (/ˈpɛtrɪkɔːr/) is the earthy scent produced when rain falls on dry soil. The word was coined by Isabel Joy Bear and Richard Grenfell Thomas from Ancient Greek πέτρα (pétra) 'rock' or πέτρος (pétros) 'stone' and ἰχώρ (ikhṓr), the ethereal fluid that is the blood of the gods in Greek mythology.❞
Heh, “god-blood of stones.” Completely unnecessary levels of linguistic badassery. I approve wholeheartedly. https://infosec.town/notes/aag9xttylpw0a9p8

Here's Nº 31 Zoraida Icabalceta from IC's Bombers Turning a Corner and the back Side of Nº 11 June Dickson -- College sports is starting up again and I'm looking forward to seeing some Soccer games and developing Cornell Basketball shots from last Winter while waiting for the season to start
#photo

Cascading from the winds to the disk: the universality of supernovae-driven turbulence in different galactic interstellar mediums
Isabelle Connor, James R. Beattie, Anne Noer Kolborg, Enrico Ramirez-Ruiz
https://arxiv.org/abs/2509.01653

Cascading from the winds to the disk: the universality of supernovae-driven turbulence in different galactic interstellar mediums
Star-forming galaxies are in a state of turbulence, with one of the principle components of the turbulence sourced by the constant injection of momentum from supernovae (SNe) explosions. Utilizing high-resolution stratified, gravito-hydrodynamical models of SNe-driven turbulence with interstellar medium (ISM) cooling and heating, we explore how SNe-driven turbulence changes across different galactic conditions, parameterized by the galactic mass and potential, SNe-driving rate, and seeding func…