A strong quantitative form of the fractional isoperimetric inequality
Abstract We show a strong version of the fractional quantitative isoperimetric inequality, in which the isoperimetric deficit controls not only the Fraenkel asymmetry but also a sort of oscillation of the boundary. This generalizes the local result by Fusco and Julin in [22].
Eleonora Cinti +2 more
wiley +1 more source
Nonnegative matrix factorization with Wasserstein metric-based regularization for enhanced text embedding. [PDF]
Li M, Wang X, Li C, Zeng A.
europepmc +1 more source
Standing waves of nonlinear Schrödinger systems with all attractive forces
Abstract Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of n$n$ components with interaction forces aij$a_{ij}$ between the i$i$‐th and j$j$‐th components for 1⩽i,j⩽n$1\leqslant i,j\leqslant n$, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are
Jaeyoung Byeon
wiley +1 more source
Clustering individuals using INMTD: a novel versatile multi-view embedding framework integrating omics and imaging data. [PDF]
Li Z +10 more
europepmc +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
Latent Class Analysis with Arbitrary-Distribution Responses. [PDF]
Qing H, Xu X.
europepmc +1 more source
PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators
ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh +2 more
wiley +1 more source
Unveiling Twist Domains in Monolayer MoS<sub>2</sub> through 4D-STEM and Unsupervised Machine Learning. [PDF]
Kimoto K +8 more
europepmc +1 more source

