Projects per year

## 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.

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## Projects 2010 2017

- 4 Finished

### IAA - Network Mathematics and Applications to Wireless, Mobile and Femtocell Technology

Jarai, A., Dawes, J., Kyprianou, A. & Milewski, P.

2/06/14 → 26/09/14

Project: Research council

### Dynamics and Structure (DSRELIS)

De Oliveira Stauffer, A. & Jarai, A.

1/10/13 → 30/09/16

Project: EU Commission

## 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 journal › Article

### 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 journal › Article

### 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 journal › Article

### Sandpile models

Jarai, A. A., 24 Sep 2018, In : Probability Surveys. 15, 0, p. 243-306 64 p.Research output: Contribution to journal › Article

### 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 journal › Article

## Thesis

## Boundary conditions in Abelian sandpiles

Author: Gamlin, S., 1 Apr 2016Supervisor: Jarai, A. (Supervisor)

Student thesis: Doctoral Thesis › PhD