On the asymptotic behavior of line processes and systems of non-interacting particles

DOI10.1007/BF00535277zbMath0366.60086MaRDI QIDQ4142444

Olav Kallenberg

Publication date: 1978

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic processes (60G99)

Related Items (8)

Time asymptotics for some degenerate models of evolution of systems with an infinite number of particles ⋮ Convergence of non-ergodic dynamical systems ⋮ On the convergence of interacting particle systems to the poisson process ⋮ On the structure of stationary flat processes. III ⋮ \(L_p\)-intensities of random measures ⋮ On the structure of stationary flat processes. II ⋮ The motion of a tagged particle and nonhomogeneous media in \(\mathbb{R}^1\) ⋮ Compensators and Cox convergence

Cites Work

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• A Poisson convergence theorem for a particle system with dependent constant velocities
• On the independence of velocities in a system of noninteracting particles
• On the structure of stationary flat processes
• Point processes on spaces of flats and other homogeneous spaces
• On conditional intensities of point processes
• A counterexample to R. Davidson's conjecture on line processes
• Some results on the limiting behaviour of infinite particle systems
• A Note on the Poisson Tendency in Traffic Distribution
• Diffusion with “collisions” between particles
• Stochastic Point Processes: Limit Theorems
• The conditional intensity of general point processes and an application to line processes
• On the Distribution of the Maximum of a Semi-Markov Process
• The Poisson Tendency in Traffic Distribution

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