Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Ugurcan, Baris"'
Publikováno v:
Stochastics (2024), 1--15
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 convergence. This class especially includes a case of stochastic port-Hamilto
Externí odkaz:
http://arxiv.org/abs/2301.05640
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 models with a systematic port-Hamiltonian structure. The model class is a g
Externí odkaz:
http://arxiv.org/abs/2212.05139
Autor:
Ugurcan, Baris Evren
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.
Externí odkaz:
http://arxiv.org/abs/2208.09352
Akademický článek
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Akademický článek
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We analyze nonlinear Schr\"odinger and wave equations whose linear part is given by the renormalized Anderson Hamiltonian in two and three dimensional periodic domains.
Externí odkaz:
http://arxiv.org/abs/1807.06825
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 attempt to make all masses at most 1. The process stabilizes almost s
Externí odkaz:
http://arxiv.org/abs/1501.07258
We study the extension problem on the Sierpinski Gasket ($SG$). In the first part we consider minimizing the functional $\mathcal{E}_{\lambda}(f) = \mathcal{E}(f,f) + \lambda \int f^2 d \mu$ with prescribed values at a finite set of points where $\ma
Externí odkaz:
http://arxiv.org/abs/1308.6814
Autor:
Chen, Joe P., Ugurcan, Baris Evren
Publikováno v:
Stochastic Processes and their Applications 125 (2015), pp. 4632-4673
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's function for simple random walk on the graph. Moreover assume that a
Externí odkaz:
http://arxiv.org/abs/1307.5825
Autor:
Chen, Joe P., Ugurcan, Baris Evren
Publikováno v:
In Stochastic Processes and their Applications December 2015 125(12):4632-4673
