18 citations · 26 across the 7 of their papers we have counts for
3 papers · 1 filter
Stability properties of some port-Hamiltonian SPDEs
Peter Kuchling, Barbara Rüdiger, Baris Ugurcan
We examine the existence and uniqueness of invariant measures of a class of stochastic partial differential equations with Gaussian and Poissonian noise and its exponential converg…
The divisible sandpile at critical density
Lionel Levine, Mathav Murugan, Yuval Peres +1
The divisible sandpile starts with i.i.d. random variables ("masses") at the vertices of an infinite, vertex-transitive graph, and redistributes mass by a local toppling rule in an…
Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs
Joe P. Chen, Baris Evren Ugurcan
Consider the free field on a fractal graph based on a high-dimensional Sierpinski carpet (e.g. the Menger sponge), that is, a centered Gaussian field whose covariance is the Green'…