Objective
/ propose to investigate random directed graphs which incorporate a 'popularity measure' into their construction. We assign each vertex a random 'weight' which represents its relative 'attractiveness'. The simplest case leads to compound random mappings. It is expected that results for compound random mappings will contribute to the development of a theoretical framework for Bayesian inference for epidemic processes on contact networks. I also propose to investigate random models that incorporate arbitrary degree distributions. This provides another method of incorporating a 'popularity measure' into the model. By considering arbitrary degree distributions it is possible to mimic the highly skewed degree distributions seen in many networks such as the World Wide Web. Such models can be used for simulating and testing network algorithms. There are also connections between the analysis of epidemic processes and the analysis of algorithms in cryptology which may be elucidated by this investigation. To investigate the proposed non-uniform random digraph models I need to gain expertise in non-combinatorial techniques. I expect to acquire it through collaboration and interaction with the probability, applied statistics, and statistical physics groups at Heriot-Watt University. In addition, I would like to explore with the applied scientists at Heriot-Watt the potential applications of these random digraph models to a broad range of problems in both epidemic processes and communication networks. This training will enable me to return to my home institution to lead and direct a new multidisciplinary research group focusing on these applications of random digraphs. This project enhances European excellence in science by addressing the problem of fragmentation within the European Research Area and by fostering links between centres of excellence in discrete mathematics in Poznan and in probability, statistics and mathematical physics at Heriot-Watt.
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.
- natural sciences mathematics applied mathematics mathematical physics
- natural sciences mathematics applied mathematics statistics and probability bayesian statistics
- natural sciences computer and information sciences computer security cryptography
- natural sciences mathematics pure mathematics discrete mathematics graph theory
- natural sciences computer and information sciences internet world wide web
You need to log in or register to use this function
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-5
See other projects for this call
Funding Scheme
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.
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
EDINBURGH
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.