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Thesis topic proposal
 
Géza Ódor
Investigation of disorder effects in network models

THESIS TOPIC PROPOSAL

Institute: Budapest University of Technology and Economics
physics
Doctoral School of Physics

Thesis supervisor: Géza Ódor
belső konzulens: Imre Varga
Location of studies (in Hungarian): Research Institute for Solid State Physics and Optics
Abbreviation of location of studies: BME


Description of the research topic:

Network inhomogeneities can strongly affect the critical dynamics of spreading models if the graph dimension is finite, causing large fluctuations and nonuniversal power-laws in extended control parameter spaces. This provides an alternative or an extension of self-organized criticality, observed in nature very frequently. These Griffiths Effects (GE) are generated by rare-regions and can be observed even in finite scale-free graphs. Real networks are very often modular, that may enhance GE-s and may lead to true Griffiths phases, where the

fluctuations diverge. Participation in the research of GE-s in various network models with large scale simulations or by other methods would be the target of this topic. Besides spreading models we plan to study synchronisation transitions from this point of view with a special emphasis on brain and power-grid models.

Required language skills: english
Further requirements: 
Fluent in English, C programming practice, good knowledge in statistical physics

Number of students who can be accepted: 1

Deadline for application: 2018-05-31


2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).

 
All rights reserved © 2007, Hungarian Doctoral Council. Doctoral Council registration number at commissioner for data protection: 02003/0001. Program version: 2.2358 ( 2017. X. 31. )