Address: |
5321, James Clerk Maxwell Building
Peter Guthrie Tait Road Edinburgh, EH9 3FD |
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E-mail: |
obusani (at) ed.ac.uk
ofer659 (at) gmail.com |

I am a lecturer at the university of Edinburgh. I am mainly interested in probabilistic models that have strong connections to statistical physics.

In particular, I am interested in the Kardar-Parisi-Zhang (KPZ) universality class where one can find random growth processes, interacting particle systems, random polymers, stochastic PDEs and many other interesting models.

I am currently looking for PhD students, so if interested please contact me!

- With Kazumasa A. Takeuchi, Jacopo De Nardis, Patrik L. Ferrari and Romain Vasseur Partial yet definite emergence of the Kardar-Parisi-Zhang class in isotropic spin chains. arXiv:2406.07150 . 2024.
- Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape. arXiv:2401.00513 . 2023
- With Timo Seppäläinen and Evan Sorensen Scaling limit of multi-type invariant measures via the directed landscape. arXiv:2310.09284 . 2023.
- With Timo Seppäläinen and Evan Sorensen Scaling limit of the TASEP speed process. arXiv:2211.04651. 2022.
- With Riddhipratim Basu and Patrik Ferrari On the exponent governing the correlation decay of the Airy
_{1}process. Communications in Mathematical Physics. 2022. - With Timo Seppäläinen and Evan Sorensen The stationary horizon and semi-infinite geodesics in the directed landscape. Annals of Probability. 2022.
- Diffusive scaling limit of the Busemann process in Last Passage Percolation. Annals of Probability. 2021
- With Gidi Amir, Christophe Bahadoran, Ellen Saada. Invariant measures for multilane exclusion process. Ann. Inst. Henri PoincarĂ© Probab. Stat.. 2021
- With Timo Seppäläinen. Non-existence of bi-infinite polymer Gibbs measures. Electronic Journal of Probability. 2022
- With Timo Seppäläinen. Bounds on the running maximum of a random walk with small drift. ALEA. 2022
- With Patrik L. Ferrari. Universality of the geodesic tree in last passage percolation. Annals of Probability. 2020
- With Marton Balazs, Timo Seppäläinen. Local stationarity of exponential last passage percolation. Probability Theory and Related Fields. 2021
- With Gidi Amir, Patricia Goncalves, James Martin. The TAZRP speed process. Ann. Inst. Henri PoincarĂ© Probab. Stat..2019
- With Marton Balazs, Timo Seppäläinen. Non-existence of bi-infinite geodesics in the exponential corner growth model. Forum of Mathematics, Sigma. 2020
- Continuous Time Random Walk as a Random Walk in Random Environment. arXiv:1709.02141.2018
- Finite dimensional Fokker-Planck equations for continuous time random walk

limits. Stochastic Processes and their Applications. 2017. - Aging Uncoupled Continuous Time Random Walk Limits. Electronic Journal of Probability. 2016.