Exponential growth of the numbers of particles for branching symmetric α-stable processes

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概要

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• We study the exponential growth of the numbers of particles for a branching symmetric α-stable process in terms of the principal eigenvalue of an associated Schrödinger operator. Here the branching rate and the branching mechanism can be state-dependent. In particular, the branching rate can be a measure belonging to a certain Kato class and is allowed to be singular with respect to the Lebesgue measure. We calculate the principal eigenvalues and give some examples.

• 社団法人 日本数学会の論文
• 2008-01-01

著者

• Shiozawa Yuichi

  Mathematical Institute Tohoku University

関連論文

• Exponential growth of the numbers of particles for branching symmetric α-stable processes

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