Six-year PhD position in Applied Probability and Mathematical Physics
We are looking for a highly motivated candidate to work on the interdisciplinary project “Statistical mechanics problems on random graphs” in collaboration …
- Mekelweg, Delft, Zuid-Holland
- Tijdelijk contract / Tijdelijke opdracht
- Uren per week:
- 38 - 40 uur
- € 2395 - € 3061 per maand
We are looking for a highly motivated candidate to work on the interdisciplinary project “Statistical mechanics problems on random graphs” in collaboration with two of the groups of Delft Institute of Applied Mathematics (DIAM), i.e. the Applied Probability group and the Mathematical Physics group.
The research work for the prospective PhD candidate focusses on metastability for spins models on random graphs, both from the perspective of theoretical probability and numerical simulations.
The theory of random graphs has attracted great interest in the last years due to their application to real-world networks. In the present project we will study different types pf spin systems on the Erdos-Renyi random graph and investigate their dynamical properties with a special focus on metastability. Systems subject to random dynamics exhibit metastability when they persist for a very long time in a phase (called metastable state) that is different from the one corresponding to the thermodynamic equilibrium (called stable state). The main goal in studying metastability is then to give a precise estimate of the mean transition time from the metastable state to the stable state.
The approach used in our research is twofold. For the theoretical probability part we will work with potential theory, which has proved to be extremely successful in computing hitting times of Markov processes. For the simulations part we will employ Monte-Carlo computations using Metropolis-based algorithms.
In addition to the research work, the student is expected to teach (40% of the work load).
1) A MSc degree in mathematics with specialization in the area of theoretical probability or mathematical physics (completed or to be completed shortly)
2) Good communication skills both in written and spoken English
3) Good programming skills, especially experience with Python or C is a plus
4) Good teaching qualities
TU Delft offers PhD-candidates a 6-year contract, with an official go/no go progress assessment after one year. Salary and benefits are in accordance with the Collective Labour Agreement for Dutch Universities, increasing from € 2395 per month in the first year to € 3061 in the fourth year.
After 4 years your salary will switch from scale P, step 3 to scale 10 (step 3 etc. ).Wage taxes and the normal social security contributions shall be withheld from your salary.
As a PhD candidate you will be enrolled in the TU Delft Graduate School. The TU Delft Graduate School provides an inspiring research environment with an excellent team of supervisors, academic staff and a mentor. The Doctoral Education Programme is aimed at developing your transferable, discipline-related and research skills.
The TU Delft offers a customisable compensation package, discounts on health insurance and sport memberships, and a monthly work costs contribution. Flexible work schedules can be arranged. For international applicants we offer the Coming to Delft Service and Partner Career Advice to assist you with your relocation.
For information about this vacancy, you can contact both J.L.A. Dubbeldam, Associate professor at TU Delft, email: J.L.A.Dubbeldam@tudelft.nl, and E. Pulvirenti, Assistant professor at TU Delft, email: E.Pulvirenti@tudelft.nl.