20012020

Research output per year

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Personal profile

Research interests

Please see my personal webpage for information on my research.

 

Available PhD projects

Blocking measures and scaling in stochastic particle systems

Blocking measures are certain stationary distributions in stochastic interacting particle systems. They either have a relatively easy structure or when this is not the case then they are usually very hard to analyse. Because of these two extreme cases, processes in this kind of stationarity have been less investigated than under other scenarios. There are nevertheless many interesting questions of fluctuations and scaling limits in the area which this project will investigate. We will dive into various phenomena of stochastic particle systems, learning about stationary and quasi-stationary structures, scaling arguments, probabilistic couplings, and martingale techniques along the way.

 

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Projects

Research Output

  • 28 Article (Academic Journal)

Non-existence of bi-infinite geodesics in the exponential corner growth model

Balazs, M., Busani, O. & Seppäläinen, T., 26 Jun 2020, (Accepted/In press) In : Forum of Mathematics, Sigma. 32 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
  • Large deviations and wandering exponent for random walk in a dynamic beta environment

    Balazs, M., Rassoul-Agha, F. & Seppäläinen, T., Jul 2019, In : Annals of Probability. 47, 4, p. 2186-2229 47 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
    File
  • 2 Citations (Scopus)
    147 Downloads (Pure)

    q-Zero Range has Random Walking Shocks

    Balazs, M., Duffy, L. & Pantelli, D., 10 Mar 2019, In : Journal of Statistical Physics. 174, 5, p. 958-971 14 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
    File
  • 184 Downloads (Pure)

    Activities

    • 2 Visiting an external academic institution

    Alfred Renyi Institute of Mathematics

    Marton Balazs (Visitor)

    1 Feb 201331 Aug 2013

    Activity: Visiting an external institution typesVisiting an external academic institution

    Budapest Univ Technol & Econ, Budapest University of Technology & Economics, Dept Stochast

    Marton Balazs (Visiting researcher)

    1 Sep 200631 Aug 2013

    Activity: Visiting an external institution typesVisiting an external academic institution