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pro vyhledávání: '"Gracar, Peter"'
Autor:
Gracar, Peter, Grauer, Arne
We study the phenomenon of information propagation on mobile geometric scale-free random graphs, where vertices instantaneously pass on information to all other vertices in the same connected component. The graphs we consider are constructed on a Poi
Externí odkaz:
http://arxiv.org/abs/2404.15124
We consider the fractal Sierpi\'{n}ski gasket or carpet graph in dimension $d\geq 2,$ denoted by $G$. At time $0$, we place a Poisson point process of particles onto the graph and let them perform independent simple random walks, which in this settin
Externí odkaz:
http://arxiv.org/abs/2311.03045
Autor:
Gracar, Peter, Grauer, Arne
We study the contact process on a class of geometric random graphs with scale-free degree distribution, defined on a Poisson point process on $\mathbb{R}^d$. This class includes the age-dependent random connection model and the soft Boolean model. In
Externí odkaz:
http://arxiv.org/abs/2208.08346
We consider inhomogeneous spatial random graphs on the real line. Each vertex carries an i.i.d. weight and edges are drawn such that short edges and edges to vertices with large weights occur with higher probability. This allows the study of models w
Externí odkaz:
http://arxiv.org/abs/2203.11966
We study geometric random graphs defined on the points of a Poisson process in $d$-dimensional space, which additionally carry independent random marks. Edges are established at random using the marks of the endpoints and the distance between points
Externí odkaz:
http://arxiv.org/abs/2108.11252
Autor:
Gracar, Peter, Grauer, Arne
Publikováno v:
In Stochastic Processes and their Applications July 2024 173
We investigate spatial random graphs defined on the points of a Poisson process in $d$-dimensional space, which combine scale-free degree distributions and long-range effects. Every Poisson point is assigned an independent weight. Given the weight an
Externí odkaz:
http://arxiv.org/abs/2003.04040
We investigate random graphs on the points of a Poisson process in $d$-dimensional space, which combine scale-free degree distributions and long-range effects. Every Poisson point carries an independent random mark and given marks and positions of th
Externí odkaz:
http://arxiv.org/abs/1911.04350
Autor:
Gracar, Peter
Consider the graph induced by Z^d, equipped with uniformly elliptic random conductances on the edges. At time 0, place a Poisson point process of particles on Z^d and let them perform independent simple random walks with jump probabilities proportion
Externí odkaz:
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.761028
We investigate a class of growing graphs embedded into the $d$-dimensional torus where new vertices arrive according to a Poisson process in time, are randomly placed in space and connect to existing vertices with a probability depending on time, the
Externí odkaz:
http://arxiv.org/abs/1810.03429