Tootfinder

Exponential Dichotomies in Higher-Dimensional Spatial Dynamics for Elliptic Partial Differential Equations
Margaret Beck, Ryan Goh, Alanna Haslam-Hyde
https://arxiv.org/abs/2510.00917

Exponential Dichotomies in Higher-Dimensional Spatial Dynamics for Elliptic Partial Differential Equations
Exponential dichotomies, when they exist, provide powerful information about the structure of bounded solutions even in the case of an ill-posed evolutionary equation. The method of spatial dynamics, in which one views a spatial variable as a time-like evolutionary variable, allows for the use of classical dynamical systems techniques, such as exponential dichotomies, in broader contexts. This has been utilized to study stationary, traveling wave, time-periodic, and spiral wave solutions of PDE…

NLDSI-BWE: Non Linear Dynamical Systems-Inspired Multi Resolution Discriminators for Speech Bandwidth Extension
Tarikul Islam Tamiti, Anomadarshi Barua
https://arxiv.org/abs/2510.01109

NLDSI-BWE: Non Linear Dynamical Systems-Inspired Multi Resolution Discriminators for Speech Bandwidth Extension
In this paper, we design two nonlinear dynamical systems-inspired discriminators -- the Multi-Scale Recurrence Discriminator (MSRD) and the Multi-Resolution Lyapunov Discriminator (MRLD) -- to \textit{explicitly} model the inherent deterministic chaos of speech. MSRD is designed based on Recurrence representations to capture self-similarity dynamics. MRLD is designed based on Lyapunov exponents to capture nonlinear fluctuations and sensitivity to initial conditions. Through extensive design opt…

Sprechblasen neben Profilbildern: WhatsApp überarbeitet "Info-Funktion"
WhatsApp aktualisiert eine der ersten Funktionen des Messengers. Die "Info-Zeile" wird besser sichtbar platziert und soll so wieder häufiger genutzt werden.

BoMGene: Integrating Boruta-mRMR feature selection for enhanced Gene expression classification
Bich-Chung Phan, Thanh Ma, Huu-Hoa Nguyen, Thanh-Nghi Do
https://arxiv.org/abs/2510.00907

BoMGene: Integrating Boruta-mRMR feature selection for enhanced Gene expression classification
Feature selection is a crucial step in analyzing gene expression data, enhancing classification performance, and reducing computational costs for high-dimensional datasets. This paper proposes BoMGene, a hybrid feature selection method that effectively integrates two popular techniques: Boruta and Minimum Redundancy Maximum Relevance (mRMR). The method aims to optimize the feature space and enhance classification accuracy. Experiments were conducted on 25 publicly available gene expression data…

Consistent control of drying rates of solution thin films on wafer-sized substrates by dynamic air-knife drying with optimal trajectories
Simon Ternes
https://arxiv.org/abs/2510.00085

Consistent control of drying rates of solution thin films on wafer-sized substrates by dynamic air-knife drying with optimal trajectories
This work tackles the problem of achieving consistent drying rates of a solution film deposited on a $20\,\rm{cm}$-wide substrate ($\approx $ silicon-wafer size) that is driven under a narrow air flow ejected by a slot nozzle (or "air knife"). The main prerequisite of the work is that the drying rate of the solution film is highly decisive for a certain performance indicator of the deposited film at a particular, critical concentration $c_{\rm crit.}$. Empirically, this concentration can be ass…

Social Welfare Function Leaderboard: When LLM Agents Allocate Social Welfare
Zhengliang Shi, Ruotian Ma, Jen-tse Huang, Xinbei Ma, Xingyu Chen, Mengru Wang, Qu Yang, Yue Wang, Fanghua Ye, Ziyang Chen, Shanyi Wang, Cixing Li, Wenxuan Wang, Zhaopeng Tu, Xiaolong Li, Zhaochun Ren, Linus
https://arxiv.org/abs/2510.01164

Social Welfare Function Leaderboard: When LLM Agents Allocate Social Welfare
Large language models (LLMs) are increasingly entrusted with high-stakes decisions that affect human welfare. However, the principles and values that guide these models when distributing scarce societal resources remain largely unexamined. To address this, we introduce the Social Welfare Function (SWF) Benchmark, a dynamic simulation environment where an LLM acts as a sovereign allocator, distributing tasks to a heterogeneous community of recipients. The benchmark is designed to create a persis…

Vulnerability Analysis Evaluating Bilevel Optimal Power Flow Approaches for Multiple Load Cases
Eric T\"onges, Martin Braun, Philipp H\"artel
https://arxiv.org/abs/2510.01073

Vulnerability Analysis Evaluating Bilevel Optimal Power Flow Approaches for Multiple Load Cases
This work presents two methodologies to enhance vulnerability assessment in power systems using bilevel attacker-defender network interdiction models. First, we introduce a systematic evaluation procedure for comparing different optimal power flow formulations in the lower-level problem. We demonstrate the procedure for a comparison of the widely used DC approximation and a linearized AC optimal power flow model. Second, we propose a novel scoring methodology to identify and prioritize critical…

Bifurcation Curve Diagrams for a Diffusive Generalized Logistic Problem with Minkowski Curvature Operator and Constant-Yield Harvesting
Shao-Yuan Huang
https://arxiv.org/abs/2510.00362

Bifurcation Curve Diagrams for a Diffusive Generalized Logistic Problem with Minkowski Curvature Operator and Constant-Yield Harvesting
This paper investigates the bifurcation diagrams of positive solutions for a one-dimensional diffusive generalized logistic boundary-value problem with the Minkowski curvature operator and constant yield harvesting. We prove that the corresponding bifurcation curves on both the (lambda, sup-norm of u)-plane and the (mu, sup-norm of u)-plane are C-shaped. Furthermore, by characterizing the bifurcation set on the (mu, lambda)-plane, we determine the exact multiplicity of positive solutions.

Effects of Neutron Irradiation on LGADs with Broad Multiplication Layer and varied Carbon-Enriched Doses: A Study on Timing Performance and Gain Deterioration
E. Navarrete Ramos, J. Villegas, J. Duarte-Campderros, M. Fernandez, A. Gomez-Carrera, G. Gomez, J. Gonzalez, S. Hidalgo, R. Jaramillo, P. Martinez Ruiz del Arbol, A. Merlos, C. Quintana, I. Vila
https://…

Effects of Neutron Irradiation on LGADs with Broad Multiplication Layer and varied Carbon-Enriched Doses: A Study on Timing Performance and Gain Deterioration
In this radiation tolerance study, Low Gain Avalanche Detectors (LGADs) with a carbon-enriched broad and shallow multiplication layer were examined in comparison to identical non-carbonated LGADs. Manufactured at IMB-CNM, the sensors underwent neutron irradiation at the TRIGRA reactor in Ljubljana, reaching a fluence of $2.5 \times 10^{15}n_{eq}cm^{-2}$. The results revealed a smaller deactivation of Boron and improved resistance to radiation in carbonated LGADs. The study demonstrated the pote…

Stability of Lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition
Ken Abe, Kyudong Choi, In-Jee Jeong
https://arxiv.org/abs/2510.00539

Stability of Lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition
In this paper, we consider the stability of the Lamb dipole solution of the two-dimensional Euler equations in $\mathbb{R}^{2}$ and question under which initial disturbance the Lamb dipole is stable, motivated by experimental work on the formation of a large vortex dipole in two-dimensional turbulence. We assume (O) odd symmetry for the $x_2$-variable and (N) non-negativity in the upper half plane for the initial disturbance of vorticity, and establish the stability theorem of the Lamb dipole w…