24/11/2020

Critical phenomena in complex and real spectra


  • ORGANISATION/COMPANY
    KU Leuven
  • RESEARCH FIELD
    MathematicsMathematical analysis
  • RESEARCHER PROFILE
    First Stage Researcher (R1)
  • APPLICATION DEADLINE
    01/08/2021 23:59 - Europe/Brussels
  • LOCATION
    Belgium › Leuven
  • TYPE OF CONTRACT
    To be defined
  • JOB STATUS
    Full-time
  • HOURS PER WEEK
    38
  • REFERENCE NUMBER
    BAP-2020-941

OFFER DESCRIPTION

Non-Hermitian matrices have their eigenvalues in the complex plane. For random non-Hermitian matrices the typical behavior is that the complex eigenvalues behave like mutually repelling charged particles like electrons in a trap that accumulate on a region in the complex plane, known as the droplet. In the simplest cases the droplet is a disk.The doctoral project studies deformations which lead to more complicated droplets. The average characteristic polynomial in these models will be a polynomial with an orthogonality in the complex plane. The zeros of these polynomials typically accumulate along certain contours within the droplet, called a motherbody.
The aim of the project is to describe the topology of the droplets and their motherbodies, their evolution in terms of parameters and to study phase transitions. The goal is to analyse certain models in great detail with tools from integrable probability and asymptotic analysis.The project will be complemented by The University of Melbourne based project and the collaboration will ensure a successful completion of the project.

More Information

Benefits

We offer a four year PhD scholarship with health insurance and mobility support.The scholarship is part of a collaboration with the University of Melbourne, Australia. The Ph.D. candidate will stay 12-24 months at the University of Melbourne.

Eligibility criteria

Selection process

How to apply?You have to use the online application toolYou have to upload exactly three files: 1. A motivation letter2. CV, including the names of two references3. Transcripts of your bachelor and master studies
Evaluation of candidates will start in January 2021, and will continue until the position is filled.For more information please contact Prof. dr. Arno Kuijlaars, tel.: +32 16 32 70 52, mail: arno.kuijlaars@kuleuven.be.

You can apply for this job no later than 01/08/2021 via the online application tool

Web site for additional job details

Map Information

Job Work Location Personal Assistance locations
Work location(s)
1 position(s) available at
Katholieke Universiteit te Leuven
Belgium
Leuven
3000

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EURAXESS offer ID: 580264

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