18 citations · 26 across the 7 of their papers we have counts for
7 papers
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…
Stability analysis of a stochastic port-Hamiltonian car-following model
Barbara Rüdiger, Antoine Tordeux, Baris Ugurcan
Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following model…
Anderson Hamiltonian and associated Nonlinear Stochastic Wave and Schrödinger equations in the full space
Baris Evren Ugurcan
In this article, we study the Anderson Hamiltonian in the full space and prove wellposedness of nonlinear stochastic wave equation and NLS with polynomial nonlinearities.
Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions
Massimiliano Gubinelli, Baris Evren Ugurcan, Immanuel Zachhuber
We analyze nonlinear Schrödinger and wave equations whose linear part is given by the renormalized Anderson Hamiltonian in two and three dimensional periodic domains.
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…
Extensions and their Minimizations on the Sierpinski Gasket
Pak Hin Li, Nicholas Ryder, Robert S. Strichartz +1
We study the extension problem on the Sierpinski Gasket (). In the first part we consider minimizing the functional with p…
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'…