Tootfinder

Green's functions for magnetic Dirac operators and bulk-edge correspondence
Jean-Marie Barbaroux, Horia D. Cornean, Lo\"ic Le Treust, Nicolas Raymond, Edgardo Stockmeyer
https://arxiv.org/abs/2509.17151

Green's functions for magnetic Dirac operators and bulk-edge correspondence
We study the resolvent kernel (Green's function) of magnetic Dirac operators on a half-plane with boundary conditions interpolating between infinite mass and zigzag cases, excluding the latter. We show that these kernels have all the required properties so that the proof of bulk-edge correspondence from the infinite mass case shown recently can be repeated ad litteram. The zigzag case exhibits qualitatively different behavior and will be addressed in future work.

A review of topological data analysis and topological deep learning in molecular sciences
JunJie Wee, Jian Jiang
https://arxiv.org/abs/2509.16877 https://a…

A review of topological data analysis and topological deep learning in molecular sciences
Topological Data Analysis (TDA) has emerged as a powerful framework for extracting robust, multiscale, and interpretable features from complex molecular data for artificial intelligence (AI) modeling and topological deep learning (TDL). This review provides a comprehensive overview of the development, methodologies, and applications of TDA in molecular sciences. We trace the evolution of TDA from early qualitative tools to advanced quantitative and predictive models, highlighting innovations su…

Il y a des gens qui jouent Š #Codenames sur l'app mobile dans mon réseau ?
Le niveau des randoms est un peu triste, et j'aimerais bien faire des parties qualitatives :)
(je demande pas un niveau de ouf, mais juste des gens qui ont compris le jeu, genre "si deux mots peuvent être reliés par un indice évident et que c'est pas celui-lŠ qui est donné, c'est sûremen…

#ShamelesslyStolenFromSomewhereElseOnTheInternetHonestlyICantKeepTrackOfThisStuffAnymore
#shitpost
#shitposting

Qualitative Methods in Genealogical Research: New Approaches to Studying Intergenerational Memory
https://ift.tt/HEblZSq
updated: Thursday, December 18, 2025 - 11:00pmfull name / name of organization: Mark Malisa…
via Input 4 RELCFP

Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schr\"{o}dinger equations
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Masataka Shibata, Juncheng Wei
https://arxiv.org/abs/2510.12484

Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schrödinger equations
In this paper, we investigate positive radial solutions to double-power nonlinear stationary Schrodinger equations in three space dimensions. It is now known that the non-uniqueness of H^{1}-positive solutions can occur in three dimensions when the frequency is sufficiently small. Under suitable conditions, in addition to the ground state solution (whose L^{\infty} norm vanishes as the frequency tends to zero), there exists another positive solution that minimizes a different constrained variat…

Replaced article(s) found for cs.SE. https://arxiv.org/list/cs.SE/new
[1/2]:
- Can Large Language Models Serve as Data Analysts? A Multi-Agent Assisted Approach for Qualitative...
Rasheed, Waseem, Ahmad, Kemell, Xiaofeng, Duc, Abrahamsson

Modeling the spatial growth of cities
https://arxiv.org/abs/2510.03045

Modeling the spatial growth of cities
The growth of cities has traditionally been studied from a population perspective, while urban sprawl - its spatial growth - has often been approached qualitatively. However, characterizing and modeling this spatial expansion is crucial, particularly given its parallels with surface growth extensively studied in physics. Despite these similarities, approaches to urban sprawl modeling are fragmented and scattered across various disciplines and contexts. In this review, we provide a comprehensive…

Bounds of Validity for Bifurcations of Equilibria in a Class of Networked Dynamical Systems
Pranav Gupta, Ravi Banavar, Anastasia Bizyaeva
https://arxiv.org/abs/2510.10215 https…

Bounds of Validity for Bifurcations of Equilibria in a Class of Networked Dynamical Systems
Local bifurcation analysis plays a central role in understanding qualitative transitions in networked nonlinear dynamical systems, including dynamic neural network and opinion dynamics models. In this article we establish explicit bounds of validity for the classification of bifurcation diagrams in two classes of continuous-time networked dynamical systems, analogous in structure to the Hopfield and the Firing Rate dynamic neural network models. Our approach leverages recent advances in computi…

Existence and qualitative behavior of solutions of abstract differential-algebraic equations
Maria Filipkovska
https://arxiv.org/abs/2510.04433 https://arx…

Existence and qualitative behavior of solutions of abstract differential-algebraic equations
Abstract differential-algebraic equations (ADAEs) of a semilinear type are studied. Theorems on the existence and uniqueness of solutions and the maximal interval of existence, on the global solvability of the ADAEs, the boundedness of solutions and the blow-up of solutions are presented. Previously, an ADAE is reduced to a system of explicit differential equations and algebraic equations by using projectors. The number of equations of the system depends on the index of the characteristic penci…