Results 181 to 190 of about 4,108,882 (260)
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
Infinity‐operadic foundations for embedding calculus
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
Abstract INTRODUCTION Alzheimer's disease (AD) is a heterogeneous disease with diverse disease progression trajectories and brain pathology. Identifying AD subtypes is essential for understanding AD etiology, heterogeneity, and developing precise treatment. METHODS We applied a subspace‐merging algorithm to integrate multi‐omics data from brain tissues
Ziyan Song +5 more
wiley +1 more source

