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math.PR2022★ 2 cited
A sharp leading order asymptotic of the diameter of a long range percolation graph
Tianqi Wu
Many real-world networks exhibit the so-called small-world phenomenon: their typical distances are much smaller than their sizes. One mathematical model for this phenomenon is a lo…
math.PR2018
Toward a quantitative theory of the hydrodynamic limit
Deniz Dizdar, Georg Menz, Felix Otto +1
This article provides non-trivial technical ingredients for the article "The quantitative hydrodynamic limit of the Kawasaki dynamics" by the same authors. In that work a quantitat…
math.PR2018
The quantitative hydrodynamic limit of the Kawasaki dynamics
Deniz Dizdar, Georg Menz, Felix Otto +1
We derive for the first time in the literature a rate of convergence in the hydrodynamic limit of the Kawasaki dynamics for a one-dimensional lattice system. We use an adaptation o…