Objective
Stationary distributions describe the limiting behaviour of ergodic Markov chains, and as such they are valuable for studying real-world phenomena. On the other hand, some transient Markov chains also seem to reach a kind of equilibrium long before their real equilibrium sets in. This phenomenon is called quasi stationary behaviour. We can gain an understanding of this quasi stationary behaviour by studying a type of limiting conditional distribution. This distribution has already been described for Markov chains with an absorbing state but little attention has been given to Markov chains with a reflecting boundary.
Our goal is to determine necessary and sufficient conditions for the existence of this type of limiting conditional distributions for general Markov chains on an irreducible state space. As a first step, we plan to study branching processes with immigration, models for the backlog of a slotted ALOHA protocol, and branching processes with immigration and emigration/catastrophes.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
DH1 3LE DURHAM
United Kingdom
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