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On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Hahn polynomials two-dimensional difference equation neutral Markov chain multitype population dynamics Dirichlet eigenvector Dirichlet eigenvalue quasi-stationary distribution Yaglom limit coexistence
2015/7/7
We consider a general class of discrete, two-dimensional Markov chains modeling the dynamics of a population with two types, without mutation or immigration, and neutral in the sense that type has no ...
Some two-dimensional finite energy percolation processes
Some two-dimensional energy percolation processes
2010/11/18
Some examples of translation invariant site percolation processes on the $\Z^2$ lattice are constructed, the most far-reaching example being one that satisfies uniform finite energy (meaning that the...
On trajectories of vortices in the compressible fluid on a two-dimensional manifold
the compressible fluid two-dimensional manifold
2010/11/17
For the model of a compressible barotropic fluid on a two dimensional rotating Riemmanian manifold we discuss a special class of smooth solutions having a form of a steady non-singular vortex moving ...
The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray-Scott Model
matched asymptotic expansions spots self-replication logarithmic expansions eigenvalues,
2010/12/15
The dynamics and stability of multi-spot patterns to the Gray-Scott (GS) reaction-diffusion model in a two-dimensional domain is studied in the singularly perturbed limit of small diffusivity " of one...