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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

Award Date: 1 Jan 2000

Bachelor of Science, Eötvös Loránd University

Award Date: 1 Jan 1996

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Projects

Research Output

Asymptotic height distribution in high-dimensional sandpiles

Jarai, A. & Sun, M., 6 Nov 2019, (Acceptance date) 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. 2019, 26 p., 113204.

Research output: Contribution to journalArticle

1 Citation (Scopus)

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
  • 34 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)
    46 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)