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of 137
pro vyhledávání: '"Deijfen, Maria"'
Consider the complete bipartite graph on $n+n$ vertices where the edges are equipped with i.i.d. exponential costs. A matching of the vertices is stable if it does not contain any pair of vertices where the connecting edge is cheaper than both matchi
Externí odkaz:
http://arxiv.org/abs/2406.04911
Autor:
Deijfen, Maria, Michielan, Riccardo
Publikováno v:
J. Appl. Probab. 61 (2024) 1343-1360
Let $\mathcal{V}$ and $\mathcal{U}$ be the point sets of two independent homogeneous Poisson processes on $\mathbb{R}^d$. A graph $\mathcal{G}_\mathcal{V}$ with vertex set $\mathcal{V}$ is constructed by first connecting pairs of points $(v,u)$ with
Externí odkaz:
http://arxiv.org/abs/2306.17507
We study the transition from stability to chaos in a dynamic last passage percolation model on $\mathbb{Z}^d$ with random weights at the vertices. Given an initial weight configuration at time $0$, we perturb the model over time in such a way that th
Externí odkaz:
http://arxiv.org/abs/2302.11379
A decade and a half ago Chatterjee established the first rigorous connection between anomalous fluctuations and a chaotic behaviour of the ground state in certain Gaussian disordered systems. The purpose of this paper is to show that Chatterjee's wor
Externí odkaz:
http://arxiv.org/abs/2302.11367
We study competing first passage percolation on graphs generated by the configuration model with infinite-mean degrees. Initially, two uniformly chosen vertices are infected with type 1 and type 2 infection, respectively, and the infection then sprea
Externí odkaz:
http://arxiv.org/abs/2204.04125
Autor:
Deijfen, Maria, Vilkas, Timo
A competition process on $\mathbb{Z}^d$ is considered, where two species compete to color the sites. The entities are driven by branching random walks. Specifically red (blue) particles reproduce in discrete time and place offspring according to a gi
Externí odkaz:
http://arxiv.org/abs/2203.14166
Autor:
Deijfen, Maria, Rosengren, Sebastian
In this note, we consider the frog model on $\mathbb{Z}^d$ and a two-type version of it with two types of particles. For the one-type model, we show that the asymptotic shape does not depend on the initially activated set and the configuration there.
Externí odkaz:
http://arxiv.org/abs/1912.10085
Autor:
Deijfen, Maria, Hirscher, Timo
A version of the Schelling model on $\mathbb{Z}$ is defined, where two types of agents are allocated on the sites. An agent prefers to be surrounded by other agents of its own type, and may choose to move if this is not the case. It then sends a requ
Externí odkaz:
http://arxiv.org/abs/1906.08668
A two-type version of the frog model on $\mathbb{Z}^d$ is formulated, where active type $i$ particles move according to lazy random walks with probability $p_i$ of jumping in each time step ($i=1,2$). Each site is independently assigned a random numb
Externí odkaz:
http://arxiv.org/abs/1902.01849
The two-type Richardson model describes the growth of two competing infection types on the two or higher dimensional integer lattice. For types that spread with the same intensity, it is known that there is a positive probability for infinite coexist
Externí odkaz:
http://arxiv.org/abs/1808.10796