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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 Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

  • 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

Dynamics and Structure (DSRELIS)

De Oliveira Stauffer, A. & Jarai, A.

1/10/1330/09/16

Project: EU Commission

Triangulation
Sandpiles
Point Process
Vertex of a graph
Sandpile Model

Zero Dissipation Limit in Abelian Sandpiles

Jarai, A.

4/09/1011/09/10

Project: Research council

Research Output 2011 2018

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
Spanning Forest
Higher Dimensions
Ball
Metric

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
File
Critical region
Finite Graph
Assignment Problem
Convex Sets
Error Bounds

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
Sandpile Model
Sandpiles
A.s. Convergence
Infinite Graphs
Stabilizability
1 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
Sandpiles
Avalanche
Critical Exponents
Radius
Stationary Distribution
3 Citations (Scopus)

Approaching criticality via the zero dissipation limit in the abelian avalanche model

Jarai, A. A., Redig, F. & Saada, E., Jun 2015, In : Journal of Statistical Physics. 159, 6, p. 1369-1407

Research output: Contribution to journalArticle

Open Access
File
Avalanche
Criticality
avalanches
Dissipation
dissipation