Results 111 to 120 of about 264 (216)
Closed Geodesics on Certain Surfaces of Revolution [PDF]
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Abstract Research on how delinquent peer associations affect individuals’ life courses is limited. This paper addresses this gap by examining delinquent peer network characteristics and their impact on offending trajectories through social network analysis (SNA) and group‐based trajectory modeling (GBTM).
Daniel Trovato
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Reliable estimates of species distributions are crucial for understanding their conservation needs. Yet for many species, IUCN largely relies on expert‐drawn ranges, which are often inaccurate. Focusing on shieldtail snakes in peninsular India, we combined citizen science, literature, field, and museum records to create improved distribution maps for ...
Anuj Shinde +3 more
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On the existence of closed geodesics on spherical manifolds
In this note we take up anew the old problem of the existence of closed geodesics on an n-dimensional spherical manifold M, i.e., a riemannian manifold which as underlying manifold has the n-sphere S". Our goal is to construct closed geodesics on M with the help of the sPace of circles on S". This has been done before.
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A tutorial on Bayesian model averaging for exponential random graph models
Abstract The use of exponential random graph models (ERGMs) is becoming prevalent in psychology due to their ability to explain and predict the formation of edges between vertices in a network. Valid inference with ERGMs requires correctly specifying endogenous and exogenous effects as network statistics, guided by theory, to represent the network ...
Ihnwhi Heo +2 more
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Closed Geodesics and Periods of Automorphic Forms
Let \(\gamma\) be a prime closed geodesic on a compact hyperbolic surface of genus \(g\) uniformized by \(\Gamma< \text{PSL} (2,\mathbb{R})\), and \(\ell(\gamma)\) be its length, while \([\gamma]\) is its homology class \(H_1(\mathbb{H}/ \Gamma,\mathbb{Z})\). Further, let \(\pi(T,\alpha):= \#\{\gamma: l(\gamma)\leq T\), \([\gamma]= \alpha\}\). From the
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SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
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Controllable Intrinsic Surface Pattern Generation Using Slime Mold Simulations
Abstract Surface‐based pattern simulations have proven valuable for texture design and scientific visualization, but existing methods face several limitations. Most simulations either target a narrow range of pattern types (e.g. spots, branching) or support a broad range of patterns at the cost of time‐consuming parameter tuning.
Jeffrey Layton +2 more
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Mesh Processing Non‐Meshes via Neural Displacement Fields
Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma +4 more
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THE LENGTH OF A CLOSED GEODESIC ON A COMPACT SURFACE
Let \(M\) be a compact surface which is homeomorphic to a 2-dimensional sphere \(S^ 2\). Under this hypothesis \textit{B. C. Croke} [J. Differ. Geom. 27, No. 1, 1-21 (1988; Zbl 0642.53045)] showed that in \(M\) exists a non-trivial closed geodesic \(C\) whose length satisfies \(L\leq 9d (M)\).
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