Picture of me
Ofer Busani up to translation of hairline.
Address: 5321, James Clerk Maxwell Building
Peter Guthrie Tait Road
Edinburgh, EH9 3FD
E-mail: obusani (at) ed.ac.uk
ofer659 (at) gmail.com

CV

Courses I have taught

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!

Papers and Preprints

  1. Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape. arXiv:2401.00513 . 2023

  2. With Timo Seppäläinen and Evan Sorensen Scaling limit of multi-type invariant measures via the directed landscape. arXiv:2310.09284 . 2023.

  3. With Timo Seppäläinen and Evan Sorensen Scaling limit of the TASEP speed process. arXiv:2211.04651. 2022.

  4. With Riddhipratim Basu and Patrik Ferrari On the exponent governing the correlation decay of the Airy1 process. Communications in Mathematical Physics. 2022.

  5. With Timo Seppäläinen and Evan Sorensen The stationary horizon and semi-infinite geodesics in the directed landscape. Annals of Probability. 2022.

  6. Diffusive scaling limit of the Busemann process in Last Passage Percolation. Annals of Probability. 2021

  7. With Gidi Amir, Christophe Bahadoran, Ellen Saada. Invariant measures for multilane exclusion process. Ann. Inst. Henri Poincaré Probab. Stat.. 2021

  8. With Timo Seppäläinen. Non-existence of bi-infinite polymer Gibbs measures. Electronic Journal of Probability. 2022

  9. With Timo Seppäläinen. Bounds on the running maximum of a random walk with small drift. ALEA. 2022

  10. With Patrik L. Ferrari. Universality of the geodesic tree in last passage percolation. Annals of Probability. 2020

  11. With Marton Balazs, Timo Seppäläinen. Local stationarity of exponential last passage percolation. Probability Theory and Related Fields. 2021

  12. With Gidi Amir, Patricia Goncalves, James Martin. The TAZRP speed process. Ann. Inst. Henri Poincaré Probab. Stat..2019

  13. With Marton Balazs, Timo Seppäläinen. Non-existence of bi-infinite geodesics in the exponential corner growth model. Forum of Mathematics, Sigma. 2020

  14. Continuous Time Random Walk as a Random Walk in Random Environment. arXiv:1709.02141.2018

  15. Finite dimensional Fokker-Planck equations for continuous time random walk
    limits    . Stochastic Processes and their Applications. 2017.

  16. Aging Uncoupled Continuous Time Random Walk Limits. Electronic Journal of Probability. 2016.