Boundary effect in competition processes

The Effect of Boundary Constraints on Markov-Modulated Diffusion Processes

Boundary Modified Contact Processes

We introduce a one dimensional contact process for which births to the right of the rightmost particle and to the left of the leftmost particle occur at rate *e (where e is for external). Other births occur at rate *i (where i is for internal). Deaths occur at rate 1. The case *e=*i is the well known basic contact process for which there is a critical value *c>1 such that if the birth rate is l...

Real-Time Competition Processes in Word Learning

Perceptual processes take time to unfold. Whether a person is processing a visual scene, identifying the category an object belongs to, or recognizing a word, cognitive processes involving competition across time occur. These ongoing competitive processes have been ignored in studies of learning. However, some forms of learning suggest that learning could occur while competition is ongoing, res...

Boundary effects in reaction-diffusion processes.

The effects of a boundary on reaction systems are examined in the framework of the general single-species reaction/coalescence process. The boundary naturally represents the reactants' container, but is applicable to exciton dynamics in a doped TMMC crystal. We show that a density excess, which extends into the system diffusively from the boundary, is formed in two dimensions and below. This im...

Exclusion Processes and boundary conditions

A family of boundary conditions corresponding to exclusion processes is introduced. This family is a generalization of the boundary conditions corresponding to the simple exclusion process, the drop-push model, and the one-parameter solvable family of pushing processes with certain rates on the continuum [1, 2, 3]. The conditional probabilities are calculated using the Bethe ansatz, and it is s...