Analytic birth-death processes: A Hilbert-space approach

DOI10.1016/0304-4149(94)90112-0zbMath0788.60105OpenAlexW2049754337MaRDI QIDQ1315402

Markus Kreer

Publication date: 1 June 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90112-0

zbMATH Keywords

analytic semigroupsdiscreteness of spectruminfinite tridiagonal matricesrational growing forward and backward transition rates

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case. II, Spectral properties of unbounded Jacobi matrices with almost monotonic weights

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric theory of semilinear parabolic equations
• Metastable states for the Becker-Döring cluster equations
• On exponential ergodicity and spectral structure for birth-death processes. I
• On exponential ergodicity and spectral structure for birth-death processes. II
• On the Spectra of Certain Birth and Death Processes
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process
• Solving the Birth and Death Processes with Quadratic Asymptotically Symmetric Transition Rates
• On Birth-Death Processes with Rational Growth Rates
• Spectral properties of diagonally dominant infinite matrices, part I
• Application of Stieltjes theory for S-fractions to birth and death processes
• Unitary Dilations of One-Parameter Semigroups of Markov Transition Operators, and the Corresponding Integral Representations for Markov Processes with a Countable Infinity of States
• Spectral theory for the differential equations of simple birth and death processes