Results 91 to 100 of about 161 (146)
Cloud‐Plots for Spherical Data With Applications to Glaucoma and Gait Cyclograms
ABSTRACT In several biomedical contexts, the need for diagnostic analyses of data that is a set of directions in 2, 3, or higher dimensions arises, as for instance, when considering the relative movement of body parts like the limbs, or looking at anatomical orientations.
S. Rao Jammalamadaka, Ali H. Abuzaid
wiley +1 more source
Pairwise Imitation and Tournament Graphs
ABSTRACT This paper investigates strategic dynamics under the behavioral rule of pairwise interact and imitate (PII), which requires minimal information and emphasizes outperforming opponents in pairwise interactions. We characterize PII using weak tournament graphs and, for a broad class of dynamics, establish a one‐shot stability result for ...
Sung‐Ha Hwang +3 more
wiley +1 more source
Riemannian Optimization for Active Mapping With Robot Teams
Autonomous exploration of unknown environments using a team of mobile robots demands distributed perception and planning strategies to enable efficient and scalable performance. Ideally, each robot should update its map and plan its motion not only relying on its own observations, but also considering the observations of its peers.
Arash Asgharivaskasi +2 more
openaire +2 more sources
Kazdan–Warner obstructions for a fourth‐order boundary problem
Abstract We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior Q$Q$ curvature and boundary T$T$ curvature on the upper hemisphere S+4${\mathbb {S}}^{4}_{+}$ by a conformal change of the standard metric.
Sergio Cruz‐Blázquez +1 more
wiley +1 more source
Degrees of maps and multiscale geometry
We study the degree of an L-Lipschitz map between Riemannian manifolds, proving new upper bounds and constructing new examples. For instance, if $X_k$ is the connected sum of k copies of $\mathbb CP^2$ for $k \ge 4$ , then we prove ...
Aleksandr Berdnikov +2 more
doaj +1 more source
Weinstein neighborhood theorems for stratified subspaces
Abstract By analogy with Weinstein's neighborhood theorem, we prove a uniqueness result for symplectic neighborhoods of a large family of stratified subspaces. This result generalizes existing constructions, for example, in the search for exotic Lagrangians.
Yael Karshon +2 more
wiley +1 more source
An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley +1 more source
Harmonic-hyperbolic geometric flow
In this article we study a coupled system for hyperbolic geometric flow on a closed manifold M, with a harmonic flow map from M to some closed target manifold N. Then we show that this flow has a unique solution for a short-time.
Shahroud Azami
doaj
Volume Comparison in the presence of a Gromov-Hausdorff ε−approximation II
Let (M, g) be any compact, connected, Riemannian manifold of dimension n. We use a transport of measures and the barycentre to construct a map from (M, g) onto a Hyperbolic manifold (ℍn/Λ, g0) (Λ is a torsionless subgroup of Isom(ℍn,g0)), in such a way ...
Sabatini Luca
doaj +1 more source
SEMI-INVARIANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS
This paper has two aims. First, we show that the usual notion of umbilical maps between Riemannian manifolds does not work for Riemannian maps. Then we introduce a new notion of umbilical Riemannian maps between Riemannian manifolds and give a method on how to construct examples of umbilical Riemannian maps.
openaire +2 more sources

