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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

Fingerprint Dive into the research topics where Antal Jarai is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 3 Similar Profiles
Sandpiles Mathematics
Sandpile Model Mathematics
Spanning Forest Mathematics
Finite Graph Mathematics
Avalanche Mathematics
Stationary Measure Mathematics
Infinite Graphs Mathematics
Spanning tree Mathematics

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Projects 2010 2017

Research Output 2011 2019

Toppling and height probabilities in sandpiles

Jarai, A. & Sun, M., 24 May 2019, (Accepted/In press) In : Journal of Statistical Mechanics-Theory and Experiment. 26 p.

Research output: Contribution to journalArticle

18 Downloads (Pure)

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
Spanning Forest
Higher Dimensions
41 Downloads (Pure)

Phase transition in a sequential assignment problem on graphs

Jarai, A. A., 3 Sep 2018, In : Annals of Applied Probability. 27, 4, p. 2098-2129 28 p.

Research output: Contribution to journalArticle

Open Access
Critical region
Finite Graph
Assignment Problem
Convex Sets
Error Bounds
1 Citation (Scopus)
24 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
Sandpile Model
A.s. Convergence
Infinite Graphs
5 Citations (Scopus)

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
Critical Exponents
Stationary Distribution


Boundary conditions in Abelian sandpiles

Author: Gamlin, S., 1 Apr 2016

Supervisor: Jarai, A. (Supervisor)

Student thesis: Doctoral ThesisPhD