2024 Contact process on hyperbolic random graph

Contact process on hyperbolic random graph

Author: ogki

August undefined, 2024

WebFeb 14, 2024 · In particular, hyperbolic random graphs are a promising model, as Boguñá et al. [11] computed a (heuristic) maximum likelihood fit of the internet graph into the hyperbolic random graph model and demonstrated its quality by showing that greedy routing in the underlying geometry of the fit finds near-optimal shortest paths. WebAbstract We consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent [Math …

[1803.04897] Explosion in weighted Hyperbolic Random Graphs …

WebMay 17, 2024 · Most complex real world networks display scale-free features. This characteristic motivated the study of numerous random graph models with a power-law degree distribution. There is, however, no established and simple model which also has a high clustering of vertices as typically observed in real data. Hyperbolic random graphs … WebMathematics We consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent χ ∈ (1,2) (so … nbc chicago home page

The contact process on random hyperbolic graphs: …

WebAlgorithms and Models for the Web Graph: 11th International Workshop, WAW 2014, Beijing, China, December 17-18, 2014, Proceedings; Clustering and the Hyperbolic Geometry of Complex Networks; Article . Free Access. WebJul 19, 2024 · Under appropriate integrability assumptions on the edge probabilities that imply sparseness of the model, after appropriately blowing up the locations, we prove that the local limit of this random graph sequence is the (countably) infinite random graph on $\mathbb{R}^d$ with vertex locations given by a homogeneous Poisson point process, … WebThe Hyperbolic Graph Generator software has been designed and implemented by Chiara Orsini (@chiaraorsini), and Rodrigo Aldecoa . Support or Contact This work was … nbc chicago food guy

Cluster-size decay in supercritical kernel-based spatial random graphs

Sub-tree counts on hyperbolic random geometric graphs

WebThe contact process on random hyperbolic graphs: metastability and critical exponents. The Annals of Probability 49(3) (2024): 1480-1512. S. A. Bethuelsen, G. L. B. da Silva, D. Valesin. Graph constructions for the contact process with a prescribed critical rate. Journal of Theoretical Probability (2024), pp.1-31. WebThe arcsine law (how long does a random walk spend on the positive part of the axis?) illustrates the counter-intuitive behavior of random processes. Brownian motion. Financial markets. Harmonic functions. The relation of random walks to potential theory. The type problem (when is a random walk on a graph transient)? Irrational rotations of the ... nbc chicago lawWebWe consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent χ ( 1, 2 ) (so that … marmot nolita featherless jacket

"WebLimit sets for branching random walks on relatively hyperbolic groups - Wenyuan YANG 杨文元 BICMR, PKU (2024-12-13) Branching random walks (BRW) on groups consist of two independent processes on the Cayley graphs: branching and movement. Start with a particle on a favorite location of the graph. " - Contact process on hyperbolic random graph

Contact process on hyperbolic random graph

WebWe consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent $\chi \in(1,2)$ (so … WebExplosion in weighted Hyperbolic Random Graphs and Geometric Inhomogeneous Random Graphs (2024) Stochastic Processes and their Applications Vol. 130(3), pages 1309-1367 (2024) Short description: This paper is the first to study first passage percolation on scale-free spatial networks: geometric inhomogeneous random graphs (GIRG), …

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WebThe contact process In the contact process, each vertex of a graph is at any point in time either healthy (state 0) or infected (state 1). The continuous-time dynamics is de ned by … WebJul 20, 2024 · We show that the contact process on a random $d$-regular graph initiated by a single infected vertex obeys the "cutoff phenomenon" in its supercritical phase. In …

WebJan 8, 2024 · The random hyperbolic graph 50,51 ... An edge refers to the close contact between the two nodes (persons). ... The PARG outperforms the ER model and the Achlioptas process. The random hyperbolic ... WebAug 14, 2015 · Recently, several spatial random graph models were developed to mimic properties of real networks features: hyperbolic random graphs [34] [35][36], scale-free percolation [37], and GIRGs [4,38,39 ...

WebFeb 16, 2024 · Our proofs rely crucially on a careful analysis of the sub-tree counts near the boundary using Palm calculus for Poisson point processes along with estimates for the hyperbolic metric and measure. For the central limit theorem, we use the abstract normal approximation result from Last et al. derived using the Malliavin-Stein method. WebDec 1, 2024 · Examples include: (1) branching diffusion and random walk on hyperbolic space, which for intermediate branching rates may survive globally but not locally; (2) contact processes on homogeneous ...

WebOct 1, 2024 · We consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent $\chi \in(1,2)$ (so that the degree distribution ...

WebJan 1, 2015 · Random Graph; Preferential Attachment; Hyperbolic Geometry; Poisson Point Process; These keywords were added by machine and not by the authors. This … nbc chicago job openingsWebThe Hyperbolic Graph Generator software has been designed and implemented by Chiara Orsini (@chiaraorsini), and Rodrigo Aldecoa . Support or Contact This work was supported by NSF Grants no. CNS-1344289, CNS-1442999, CNS-0964236, CNS-1441828, CNS-1039646, and CCF-1212778; DARPA grant no. HR0011–12-1–0012; Cisco Systems. nbc chicago listingsWebCONTACT PROCESS ON RANDOM HYPERBOLIC GRAPHS 1481 of Vn is due to the fact that we will identify points of the Poisson process with vertices of the graph). The intensity function at polar coordinates (r,θ)for 0 ≤r nbc chicago kyle rittenhouse liveWebMar 1, 2024 · free percolation and/or hyperbolic random graphs: ζ in this regime depends b oth on τ, α. W e also prove that the second-largest component in a box of volume n is of size Θ(log( n ) 1 /ζ + o ... nbc chicago morning newsWebThe naive algorithm for the generation of hyperbolic geometric graphs distributes the nodes on the hyperbolic disk by choosing the angular and radial coordinates of each … nbc chicago live tvWebSome properties of the research collaboration graph for mathematicians, its evolution over time, and some random models that might produce graphs of this sort are discussed. We discuss some properties of the research collaboration graph for mathematicians, look at its evolution over time, and survey some random models that might produce graphs of this … marmot nighthawk 2p reviewWebJul 31, 2024 · As discussed above, and as we will show later, the aforementioned random graph models do not generate communities that would have the kind of core-tail structure that is commonly observed in real-world social networks (see, e.g Araujo et al. (), Metzler et al. (2016, 2024)).To address that, we propose the HYGEN random graph generator that … marmoto product care rain jacket