Address: | Universität Bonn Endenicher Allee 60 Bonn, Germany | E-mail: | busani at iam.uni-bonn.de ofer659 at gmail.com | |

I am a HCM postdoc at the university of Bonn, before that I was a postdoc at the university of Bristol. I am mainly interested in probabilistic models that have strong connections to statistical physics such as random growth processes, interacting particle systems, and more generally in probability theory.

CV

Courses I have taught

## Papers and Preprints

- 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. arXiv:2203.13242. 2022.

- Diffusive scaling limit of the Busemann process in Last Passage Percolation. arXiv:2110.03808 - submitted. 2021

- With Gidi Amir, Christophe Bahadoran, Ellen Saada. Invariant measures for multilane exclusion process. arXiv:2105.12974 - submitted. 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 Poincaré 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.