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math.PR2009★ 5 cited
Localization for a Class of Linear Systems
Yukio Nagahata, Nobuo Yoshida
We consider a class of continuous-time stochastic growth models on -dimensional lattice with non-negative real numbers as possible values per site. The class contains examples s…
math.PR2008★ 1 cited
Phase Transitions for the Groeth Rate of Linear Stochastic Evolutions
Nobuo Yoshida
We consider a simple discrete-time Markov chain with values in . The Markov chain describes various interesting examples such as oriented percolation, directed po…
math.PR2008
Central Limit Theorem for a Class of Linear Systems
Yukio Nagahata, Nobuo Yoshida
We consider a class of interacting particle systems with values in $[0,\8)^{\zd}$, of which the binary contact path process is an example. For and under a certain square…