J
Jan M. Swart
Researcher at Academy of Sciences of the Czech Republic
Publications - 79
Citations - 805
Jan M. Swart is an academic researcher from Academy of Sciences of the Czech Republic. The author has contributed to research in topics: Voter model & Random walk. The author has an hindex of 15, co-authored 75 publications receiving 734 citations. Previous affiliations of Jan M. Swart include University of Groningen & Technical University of Berlin.
Papers
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Journal ArticleDOI
The Brownian net
Rongfeng Sun,Jan M. Swart +1 more
TL;DR: In this article, it is shown that it is possible to obtain a nontrivial limiting object if the random walks in addition branch with a small probability, and the limiting object is called the Brownian net.
Book ChapterDOI
The Brownian web, the Brownian net, and their universality
TL;DR: The Brownian web is a collection of one-dimensional coalescing Brownian motions starting from everywhere in space and time, and the Brownian net is a generalization that also allows branching as mentioned in this paper.
The Brownian net
Rongfeng Sun,Jan M. Swart +1 more
TL;DR: In this article, it is shown that it is possible to obtain a nontrivial limiting object if the random walks in addition branch with a small probability, and the limiting object is called the Brownian net.
Journal ArticleDOI
Branching-coalescing particle systems
Siva Athreya,Jan M. Swart +1 more
TL;DR: In this paper, the authors studied the ergodic behavior of systems of particles performing independent random walks, binary splitting, coalescence and deaths, and proved that the upper invariant measure of the particle system is the only homogeneous nontrivial invariant law and the limit started from any homogeneous nonsmooth initial law.
Book
Stochastic Flows in the Brownian Web and Net
TL;DR: In this paper, the authors give a graphical construction of general Howitt-Warren flows, where the underlying random environment takes on the form of a suitably marked Brownian web.