LAUSR

The two-time distribution in geometric last-passage percolation

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0 Published in 2019 at "Probability Theory and Related Fields"

DOI: 10.1007/s00440-019-00901-9

Abstract: We study the two-time distribution in directed last passage percolation with geometric weights in the first quadrant. We compute the scaling limit and show that it is given by a contour integral of a Fredholm… read more here.

Keywords: time distribution; passage percolation; two time; last passage ... See more keywords

Baire categorical aspects of first passage percolation

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0 Published in 2017 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-018-0840-9

Abstract: In the previous decades, the theory of first passage percolation became a highly important area of probability theory. In this work, we will observe what can be said about the corresponding structure if we forget… read more here.

Keywords: categorical aspects; baire categorical; first passage; passage percolation ... See more keywords

Baire categorical aspects of first passage percolation. II

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1 Published in 2019 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-019-00943-4

Abstract: In this paper we continue our earlier work about topological first passage percolation and answer certain questions asked in our previous paper. Notably, we prove that apart from trivialities, in the generic configuration there exists… read more here.

Keywords: baire categorical; first passage; passage percolation; generic configuration ... See more keywords

Long Paths in First Passage Percolation on the Complete Graph II. Global Branching Dynamics

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1 Published in 2020 at "Journal of Statistical Physics"

DOI: 10.1007/s10955-020-02585-1

Abstract: We study the random geometry of first passage percolation on the complete graph equipped with independent and identically distributed positive edge weights. We consider the case where the lower extreme values of the edge weights… read more here.

Keywords: usepackage; graph; document; first passage ... See more keywords

Speeding up non-Markovian first-passage percolation with a few extra edges

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0 Published in 2018 at "Advances in Applied Probability"

DOI: 10.1017/apr.2018.39

Abstract: Abstract One model of real-life spreading processes is that of first-passage percolation (also called the SI model) on random graphs. Social interactions often follow bursty patterns, which are usually modelled with independent and identically distributed… read more here.

Keywords: random graphs; first passage; passage; passage percolation ... See more keywords