Infinite Markov particle systems associated with absorbing stable motion on a half space

zbMath1305.60036MaRDI QIDQ2251167

Seiji Hiraba

Publication date: 11 July 2014

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1396966252

zbMATH Keywords

half-spacemartingale characterizationMarkov particle systemabsorbing Brownian motionabsorbing stable motionboundary of the immigration part

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Stable stochastic processes (60G52) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

• Ergodic properties of the equilibrium process associated with infinitely many Markovian particles
• Asymptotic behavior of hitting rates for absorbing stable motions in a half space
• Infinite Markov particle systems with singular immigration; martingale problems and limit theorems
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