التفاصيل البيبلوغرافية
| العنوان: |
Semigroup approach to birth-and-death stochastic dynamics in continuum |
| المؤلفون: |
Yuri Kondratiev, Dmitri Finkelshtein, Oleksandr Kutoviy |
| بيانات النشر: |
arXiv, 2011. |
| سنة النشر: |
2011 |
| مصطلحات موضوعية: |
Pure mathematics, Correlation functions, 46E30, 47D06, 82C21, 35Q83, Banach space, Evolution equations, FOS: Physical sciences, Spatial birth-and-death dynamics, Vlasov scaling, Dynamical Systems (math.DS), C0-semigroups, C(0)-semigroups, birth-and-death dynamics, Continuous systems, Vlasov equation, Convergence (routing), FOS: Mathematics, Spatial, Quantitative Biology::Populations and Evolution, Mathematics - Dynamical Systems, Scaling, Mathematical Physics, Mathematics, Markov chain, Semigroup, Continuum (topology), Scaling limits, Markov evolution, Mathematical Physics (math-ph), Birth–death process, Functional Analysis (math.FA), Mathematics - Functional Analysis, Analysis, Generator (mathematics) |
| الوصف: |
We describe a general approach to the construction of a state evolution corresponding to the Markov generator of a spatial birth-and-death dynamics in $\mathbb{R}^d$. We present conditions on the birth-and-death intensities which are sufficient for the existence of an evolution as a strongly continuous semigroup in a proper Banach space of correlation functions satisfying the Ruelle bound. The convergence of a Vlasov-type scaling for the corresponding stochastic dynamics is considered.
Comment: 35 pages |
| DOI: |
10.48550/arxiv.1109.5094 |
| URL الوصول: |
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2eb8c6d0a79565bf0527e2cd6d8a7360 |
| Rights: |
OPEN |
| رقم الانضمام: |
edsair.doi.dedup.....2eb8c6d0a79565bf0527e2cd6d8a7360 |
| قاعدة البيانات: |
OpenAIRE |