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Personal profile

Research interests

I am interested in random processes with spatial and/or temporal structure: percolation, random walk, branching random walk, uniform spanning trees, Abelian sandpiles. The problems I look at are often motivated by statistical physics, but they are also interesting from a pure mathematical point of view.

Education/Academic qualification

Doctor of Philosophy, Cornell University

Bachelor of Science, Eötvös Loránd University

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Projects

Research Output

Asymptotic height distribution in high-dimensional sandpiles

Jarai, A. & Sun, M., 6 Nov 2019, (Accepted/In press) In : Journal of Theoretical Probability. 12 p.

Research output: Contribution to journalArticle

Toppling and height probabilities in sandpiles

Jarai, A. & Sun, M., 8 Nov 2019, In : Journal of Statistical Mechanics-Theory and Experiment. 26 p.

Research output: Contribution to journalArticle

Geometry of uniform spanning forest components in high dimensions

Barlow, M. T. & Jarai, A., 10 Aug 2018, In : Canadian Journal of Mathematics. 29 p.

Research output: Contribution to journalArticle

Open Access
File
  • 30 Downloads (Pure)

    Sandpile models

    Jarai, A. A., 24 Sep 2018, In : Probability Surveys. 15, 0, p. 243-306 64 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 4 Citations (Scopus)
    40 Downloads (Pure)

    Inequalities for critical exponents in d-dimensional sandpiles

    Jarai, A., Hanson, J. & Bhupatiraju, S., 14 Oct 2017, In : Electronic Journal of Probability. 22, 51 p., 85.

    Research output: Contribution to journalArticle

    Open Access
  • 8 Citations (Scopus)

    Thesis

    Boundary conditions in Abelian sandpiles

    Author: Gamlin, S., 1 Apr 2016

    Supervisor: Jarai, A. (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File

    Distributed Optimisation of LTE Systems

    Author: Middleton, A., 2019

    Supervisor: Dawes, J. (Supervisor), Jarai, A. (Supervisor) & Briggs, K. (External person) (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File