2024 Curvature and temperature of complex networks

Curvature and temperature of complex networks

Author: tsbk

August undefined, 2024

WebNov 20, 2024 · The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergraphs, that is based on structural properties of (hyper)edges, instead of vertices. For that purpose, we utilize so-called network curvatures. These curvatures … WebSideways THz generation in Mg:LiNbO3 crystal is studied considering Si-prism-lens couplers with different output surface curvatures. A theoretical approach is developed for modeling the angular distributions of THz radiation power inside the crystal, inside the Si coupler and outside in free space. Our calculations show how the imposition of a plano …

Comparative analysis of two discretizations of Ricci curvature for ...

WebMonitoring and forecasting of sintering temperature (ST) is vital for safe, stable, and efficient operation of rotary kiln production process. Due to the complex coupling and time-varying characteristics of process data collected by the distributed control system, its long-range prediction remains a challenge. In this article, we propose a multivariate time … WebEnter the email address you signed up with and we'll email you a reset link. townhomes for sale in north fort myers

FM2 Path Planner for UAV Applications with Curvature …

WebFeb 8, 2024 · We find that the dynamics become glassy at low temperature, with a strong slowdown of the relaxation and the emergence of dynamical heterogeneity. The prevalent local 6-fold order is frustrated by curvature and we analyze in detail the role of the topological defects in the statics and the dynamics of the particle assembly. Show less WebCurvature and temperature of complex networks Item Preview remove-circle Share or Embed This Item. Share to Twitter. Share to Facebook. Share to Reddit. Share to … WebThe hidden space curvature affects the heterogeneity of the degree distribution, while clustering is a function of temperature. We embed the internet into the hyperbolic plane … townhomes for sale in north augusta sc

Simultaneous Curvature and Temperature Sensing Based on a

Curvature-based Analysis of Complex Network Melanie …

WebAug 1, 2024 · In the context of complex networks, the Forman curvature captures the second property of the Ricci curvature, namely, the dispersion rate of geodesics. This is achieved by adapting to the discrete setting of graphs, the classical Bochner–Weitzenböck formula [23], which gives the connection between curvature and the Laplacian on a … WebTemperature affects many aspects of plant growth and development through a complex network of transcriptional responses. Although temperature sensing is a crucial primary step in initiating transcriptional responses via Ca 2+ and/or reactive oxygen species signaling, an understanding of how plants perceive temperature has remained elusive. townhomes for sale in north york ontarioWebSep 23, 2009 · The hidden space curvature affects the heterogeneity of the degree distribution, while clustering is a function of temperature. We embed the internet into the hyperbolic plane and find a remarkable congruency between the embedding and our … townhomes for sale in north riverside il

"WebOct 2, 2024 · The curvature and temperature sensitivities are experimentally measured to be -4.28 dB/m -1 and 25.76 pm/°C, respectively. The cross sensitivities for ARROW is measured to be 0.0056 m -1 /°C. The structure of the sensor is simple and compact, which can be used for structural health monitoring in a complex environment. " - Curvature and temperature of complex networks

Curvature and temperature of complex networks

Graph Curvature for Differentiating Cancer Networks

WebMay 23, 2024 · A novel fiber inline Mach-Zehnder interferometer (MZI) is proposed for simultaneous measurement of curvature and temperature. The sensor composes of single mode-multimode-dispersion compensation-multimode-single mode fiber (MMF-DCF-MMF) structure, using the direct fusion technology. The experimental results show curvature … WebThe hidden space curvature affects the heterogeneity of the degree distribution, while clustering is a function of temperature. We embed the internet into the hyperbolic plane …

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WebMar 7, 2024 · The diversity of El Niño events is commonly described by two distinct flavors, the Eastern Pacific (EP) and Central Pacific (CP) type. While the remote impacts, that is, teleconnections, of EP and CP events have been studied for different regions individually, a global picture of their structure is still lacking. Here, we use Forman‐Ricci curvature … WebThis paper studies the Fast Marching Square (FM2) method as a competitive path planner for UAV applications. The approach fulfills trajectory curvature constraints together with a significantly reduced computation time, which makes it overperform with respect to other planning methods of the literature based on optimization. A comparative analysis is …

WebOn Curvature and Temperature of Complex Networks Dmitri Krioukov, 1Fragkiskos Papadopoulos, Amin Vahdat,2 and Mari an Bogun ~a3 1Cooperative Association for …

http://people.ece.umn.edu/~georgiou/papers/nature.pdf WebIn this paper, a novel inline optical fiber sensor for curvature and temperature measurement simultaneously has been proposed and demonstrated, which can measure two parameters with very little crosstalk. Two combinational mechanisms of anti-resonant reflecting optical waveguide and inline Mach–Zehnder interference structure are …

WebThe analysis of a wide range of complex networks suggests connections between curvature and higher order network structure. As a proxy for local assortativity, …

WebMar 14, 2009 · We establish a connection between observed scale-free topologies and hidden hyperbolic geometries of complex networks. Hidden geometries are coarse metric abstractions of the approximately hierarchical community structure of complex networks, used to estimate node similarities. Space expands exponentially in hyperbolic geometry, … townhomes for sale in northern kentuckyWebJun 21, 2016 · Remarkably, Forman's curvature for complex networks is enticingly simple to compute in large-scale networks. Forman's curvature is general and flexible, which … townhomes for sale in north wales paWebThen, the GRU network is used for short-term wind speed prediction by the time series. Experimental results show that the proposed method improves MAE and RMSE by nearly 20%, which will provide new ideas for the application of wind speed forecasting in canyons under complex terrain. townhomes for sale in northern utahWebJul 10, 2024 · Weber, M., Saucan, E. & Jost, J. Characterizing complex networks with Forman-Ricci curvature and associated geometric flows. J Complex Netw 5 , 527–550 (2024). Article MathSciNet Google Scholar townhomes for sale in nw rochester mnWebMar 14, 2009 · We show that heterogeneous degree distributions in observed scale-free topologies of complex networks can emerge as a consequence of the exponential expansion of hidden hyperbolic space. Fermi-Dirac statistics provides a physical interpretation of hyperbolic distances as energies of links. The hidden space curvature … townhomes for sale in northglenn coloradoWebSep 1, 2009 · Curvature and temperature of complex networks Authors: Dmitri V. Krioukov Fragkiskos Papadopoulos Amin Vahdat Google Inc. Marián Boguñá Abstract … townhomes for sale in northampton county paWebNov 8, 2016 · For this, we introduce a discrete Forman-Ricci curvature and its corresponding geometric flows as characteristics for complex networks, thus extending the common approach of node-based network analysis with edge-based characteristics. We apply the proposed network-analytic methods to static and dynamic complex networks … townhomes for sale in nv