[PDF] Top 20 Statistics of geometric random simplicial complexes
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Statistics of geometric random simplicial complexes
... its random geometric simplicial complex is the complex whose vertices are the points of the Poisson process and simplices are given by the ˘ Cech complex associated to the coverage of ... Voir le document complet
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Statistics of geometric random simplicial complexes
... its random geometric simplicial complex is the complex whose vertices are the points of the Poisson process and simplices are given by the ˘ Cech complex associated to the coverage of ... Voir le document complet
23
Reduction Algorithm for Simplicial Complexes
... abstract simplicial complex is needed to maintain the ...number of removed vertices. The average com- plexity of the algorithm is analyzed for two kind of random simplicial ... Voir le document complet
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Random Abstract Simplicial Complexes Reduction
... abstract simplicial complex while its topology remain ...complexity of the abstract simplicial complex implementation and of the ...Vietoris-Rips simplicial complex built on a binomial ... Voir le document complet
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Algebraic topology of random simplicial complexes and applications to sensor networks
... contents of this ...model of the positions of sensors/users. First some concepts of stochastic geometry are presented in order to define a Poisson point process and some properties such as the ... Voir le document complet
148
Central Limit Theorems for Linear Statistics of Heavy Tailed Random Matrices
... list of further- reaching results have been obtained: the central limit theorem was extended to so-called matrix models where the entries interact via a potential in [32], the set of test functions was ... Voir le document complet
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Complexes of groups and geometric small cancellation over graphs of groups
... III.C.4.17 of [5]). A non-positively curved complex of groups is ...Trees of complexes of groups This section presents the main algebraic construction of this ...a ... Voir le document complet
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Gaussian fluctuations for linear spectral statistics of large random covariance matrices
... Empirical random covariance matrices, whose probabilistic study may be traced back to Wishart [ 57 ] in the late twenties, play an important role in applied ...dimension of the observations is of the ... Voir le document complet
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Random walks in two-dimensional complexes
... HAL Id: inria-00075247 https://hal.inria.fr/inria-00075247 Submitted on 24 May 2006 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether ... Voir le document complet
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The Domination Number of On-line Social Networks and Random Geometric Graphs
... the geometric protean model (GEO-P) [5–7] (see [16, 25, 30, 31] for models where various ranking schemes were first used, and which inspired the GEO-P ...survey of OSN models see [8], and for more general ... Voir le document complet
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Cliques in high-dimensional random geometric graphs
... B.: Random Graphs, Cambridge University press ...analysis of virus spreading in random geo- metric ...Proceedings of the 48h IEEE Conference on Decision and Con- trol (CDC) held jointly with ... Voir le document complet
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On the one dimensional Poisson random geometric graph
... expansion of the so-called sensor ...multitude of small and cheap sensors which are devices with limited transmission ...question of whether information can be shared among the whole network is then ... Voir le document complet
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Spectral Analysis of the Adjacency Matrix of Random Geometric Graphs
... RGGs are very useful to model problems in which the geographical distance is a critical factor. For example, RGGs have been applied to wireless communication network [4], sensor network [5] and to study the dynamics ... Voir le document complet
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Cliques in high-dimensional random geometric graphs
... expression of the clustering level in a network (see Wasserman and Faust 1994 ...a random geometric graph and an Erdős–Rényi graph in terms of the GCC and the number of ...iterations) ... Voir le document complet
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Eigenvalues and Spectral Dimension of Random Geometric Graphs in Thermodynamic Regime
... distribution of a random walk on a graph. The main purpose of this work is to determine the SD of a variety of random graphs called random geometric graphs (RGGs) ... Voir le document complet
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Identifying and locating-dominating codes in (random) geometric networks
... to random analysis. We consider a sequence (Gn)n of random unit disk graphs, defined as ...at random from the unit square, and Gn is the graph whose vertex set is {X 1, X2, ...sequence ... Voir le document complet
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Nesting statistics in the $O(n)$ loop model on random planar maps
... edges of T correspond to the loops of ...tree of C, see Figure 7. Each loop crosses a sequence of faces which form an ...half-edges of T ...notion of parent vertex (the one ... Voir le document complet
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ITERATED BOOLEAN RANDOM VARIETIES AND APPLICATION TO FRACTURE STATISTICS MODELS
... location of points in space, as seen for instance for some defects in materials: for polycrystals modellled by random tessellations, defects can be located on the grain boundaries; in composite materials, ... Voir le document complet
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A CLT for linear spectral statistics of large random information-plus-noise matrices
... entries are the a i ’s. Element (i, j) of the matrix M will be denoted by m ij or [M] ij . For a matrix M, denote by M T its transpose, M ∗ its Hermitian adjoint, M its entry-wise conjugate, det(M) its determinant ... Voir le document complet
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Monte Carlo particle transport in random media: The effects of mixing statistics
... case of domains having an infinite exten- sion (4; 5; ...limit of infinite domains, an arbitrary line will be cut by the hyperplanes of the tessel- lation into chords whose lengths are exponentially ... Voir le document complet
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