Субота, 01 липня 2017 20:54

Post-Doc Position : Mean-field limits for small stochastic networks

  • Location: INRIA (Grenoble campus), France
  • Type: Post-doctoral position
  • Topic: Networks, systems and services, distributed computing
  • Deadline: П'ятниця, 01 вересня 2017

Inria, the French National Institute for computer science and applied mathematics, promotes “scientific excellence for technology transfer and society”. Graduates from the world’s top universities, Inria's 2,700 employees rise to the challenges of digital sciences. With its open, agile model, Inria is able to explore original approaches with its partners in industry and academia and provide an efficient response to the multidisciplinary and application challenges of the digital transformation. Inria is the source of many innovations that add value and create jobs.

The post-doctoral researcher will be recruited in the POLARIS team (Performance Evaluation and Optimization of LArge Infrastructures and Systems) at Inria Grenoble research center. The Center currently has 34 research teams included 11 located in Lyon and 10 support services. The POLARIS project is an INRIA team that contributes to the understanding of the performance of very large scale distributed systems. It is composed of researcher that have a complementary expertise in applied probability, distributed software engineering and high performance computing. The POLARIS team works in close cooperation with other research teams on a continuum of five research themes including measurement and experimentation, statistical trace analysis and visualization, discrete-event and perfect simulation, asymptotic modeling, stochastic optimization and game theory.

Stochastic models of interacting agents are used in many domains (caching systems, networks,...). The analysis of the model of n stochastic entities interacting with each others can be particularly difficult. The mean field approximation is a very effective technique to characterize the transient probability distribution or steady-state regime of such systems when the number of entities n grows very large. The idea of mean-field approximation is to replace a complex stochastic system by a simpler deterministic dynamical system. Our recent progress suggest that it is possible to extend these methods to study systems with a relatively small entities (n=10). The main mission of the post-doc will be to contribute to the development of theoretical and analytical tools on this subject, for example to focus on heavy-traffic regime and heterogeneous systems.

The candidate is expected to collaborate with members of the team that work on applied probability and stochastic modeling but the candidate will have a high degree of freedom regarding his research agenda. Depending on the candidate, this project can have a more theoretical flavour or a more algorithmic one. Collaborations with external research team are encouraged, for example with the probability group of the math department (https://www-fourier.ujf-grenoble.fr/).

Applicants must have a PhD in Computer Science, Mathematics or Statistics. A strong knowledge in stochastic modeling or optimization is necessary. We expect the candidate to be self-motivated and autonomous in pursuing his research agenda. Applicants should be able to work efficiently in a research team.

  • Contract duration : 12 months
  • Starting date : Between June and December 2017.
  • Place of work : Bâtiment IMAG, Grenoble Campus.
  • Salary : 2653 euros gross per month (this includes health insurance).
  • Apply before September 2017.
  • Contact : Nicolas Gast (Ця електронна адреса захищена від спам-ботів. Вам потрібно увімкнути JavaScript, щоб побачити її.)

Security and defense procedure This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST). Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment.

Warning Applications must be submitted online on the Inria website. Processing applications submitted by other channels is not guaranteed.


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