Registro completo de metadatos
| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.creator | Jonckheere, Matthieu Thimothy Samson | - |
| dc.creator | Shneer, Seva | - |
| dc.date | 2017-06-23T21:06:59Z | - |
| dc.date | 2017-06-23T21:06:59Z | - |
| dc.date | 2014-03 | - |
| dc.date | 2017-06-23T14:12:30Z | - |
| dc.date.accessioned | 2019-04-29T15:56:20Z | - |
| dc.date.available | 2019-04-29T15:56:20Z | - |
| dc.identifier | Jonckheere, Matthieu Thimothy Samson; Shneer, Seva; Stability of multi-dimensional birth-and-death processes with state-dependent 0-homogeneous jumps; Cambridge University Press; Advances In Applied Probability; 46; 1; 3-2014; 59-75 | - |
| dc.identifier | 0001-8678 | - |
| dc.identifier | http://hdl.handle.net/11336/18829 | - |
| dc.identifier | 1475-6064 | - |
| dc.identifier | CONICET Digital | - |
| dc.identifier | CONICET | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/305762 | - |
| dc.description | We study the conditions for positive recurrence and transience of multi-dimensional birth-and-death processes describing the evolution of a large class of stochastic systems, a typical example being the randomly varying number of flow-level transfers in a telecommunication wire-line or wireless network. First, using an associated deterministic dynamical system, we provide a generic method to construct a Lyapunov function when the drift is a smooth function on ℝN. This approach gives an elementary and direct proof of ergodicity. We also provide instability conditions. Our main contribution consists of showing how discontinuous drifts change the nature of the stability conditions and of providing generic sufficient stability conditions having a simple geometric interpretation. These conditions turn out to be necessary (outside a negligible set of the parameter space) for piecewise constant drifts in dimension two. | - |
| dc.description | Fil: Jonckheere, Matthieu Thimothy Samson. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina | - |
| dc.description | Fil: Shneer, Seva. Heriot-Watt University; Reino Unido | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Cambridge University Press | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1017/S0001867800006935 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/advances-in-applied-probability/article/stability-of-multi-dimensional-birth-and-death-processes-with-state-dependent-0-homogeneous-jumps/CA2AC6770A5C9D69BA0DC593156DAAC6 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0910.5851 | - |
| dc.rights | info:eu-repo/semantics/openAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.subject | Stability analysis | - |
| dc.subject | Birth and death processes | - |
| dc.subject | Lyapunov functions | - |
| dc.subject | Stochastic networks | - |
| dc.subject | Estadística y Probabilidad | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | Stability of multi-dimensional birth-and-death processes with state-dependent 0-homogeneous jumps | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
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