Research

Published papers:

1. Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia, Discrete l^1 Double Bubble solution is at most ceiling +2 of the continuous solution, [arXiv, Discrete & Computational Geometry, 2023]

2. Sarai Hernandez-Torres, Eviatar B. Procaccia, Ron Rosenthal, The chemical distance in random interlacements in the low-intensity regime, [ arXiv, Communications in mathematical physics, 2023]

3. Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia, An elementary proof of the double bubble problem in l_1, [arXiv, The Journal of Geometric  Analysis, 2023]

4. Noam Berger, Eviatar B. Procaccia, Amanda Turner, Growth of stationary Hastings-Levitov, [arXiv, Annals of Applied Probability, 2022]

5. Yingxin Mu, Eviatar B. Procaccia, Yuan Zhang, Scaling limit of DLA on a long line segment, [arXiv, Transactions of the American Mathematical Society, 2022]

6. Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang, Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements, [arXiv, Electronic Journal  of Probability, 2022]

7. Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang, Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure, [arXiv, Lat. Am. J. Probab (ALEA), 2021 ]

8. Eviatar B. Procaccia, Itamar Procaccia, The dimension of  Diffusion Limited Aggregation grown on a line, [arXiv, Physical Review E, 2021]

9. Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang, Percolation for finitary random interlacements, [arXiv, Lat. Am. J. Probab (ALEA), 2021]

10. Eviatar B. Procaccia, Yuan Zhang, On Sets of zero Stationary Harmonic Measure, [arXiv, Stochastic Processes and their Applications, 2021]

11. Eviatar B. Procaccia, Yuan Zhang, On covering monotonic paths with simple random walk, [arXiv, Electronic Journal of Probability,  2020]

12. Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang, Stationary DLA is well defined, [arXiv, Journal of Statistical Physics, 2020]

13. Eviatar B. Procaccia, Ron Rosenthal, Yuan Zhang, Stabilization of DLA in a wedge, [arXiv, Electronic Journal of Probability, 2020]

14. Eviatar B. Procaccia, Yuan Zhang, Stationary Harmonic measure and DLA on the upper half plane, [arXiv, Journal of Statistical Physics, 2019]

15. Marek Biskup, Eviatar B. Procaccia, Shapes of drums with lowest base frequency under non-isotropic perimeter constraints, [arXiv, Transactions of the American Mathematical Society, 2019]

16. Eviatar B. Procaccia, Yuan Zhang, Connectivity properties of Branching Interlacements, [arXiv, Lat. Am. J. Probab (ALEA), 2019]

17. Eviatar B. Procaccia, Yuan Zhang, On covering paths with 3 dimensional random walk, [arXiv, Electronic communications in probability, 2018]

18. Marek Biskup, Eviatar B. Procaccia, Eigenvalue vs perimeter in a shape theorem for self-interacting random walks, [arXiv, Annals of applied probability, 2018]

19. Eviatar B. Procaccia, Book Review: Random walks and heat kernels on graphs, [Bulletin of the American Mathematical Society, 2018]

20. Olivier Garet, Régine Marchand, Eviatar B. Procaccia, Marie Théret, Continuity of the time and isoperimetric constants in supercritical percolation, [arXiv, Electronic Journal of Probability, 2017]

21. Avrim Blum, Ioannis Caragiannis, Nika Haghtalab, Ariel D. Procaccia, Eviatar B. Procaccia, and Rohit Vaish, Opting Into Optimal Matchings, [arXiv, SODA 2017]

22. Eviatar B. Procaccia, Book Review:  Noise sensitivity of Boolean functions and percolation, [Bulletin of the American Mathematical Society, 2017]

23. Tonci Antunovic, Eviatar B. Procaccia, Stationary Eden model on Cayley graphs. [arXiv, Annals of applied probability, 2017]

24. Eviatar B. Procaccia, Ron Rosenthal, Artem Sapozhnikov, Quenched invariance principle for simple random walk on clusters in correlated percolation models, [arXiv, Probability theory and related fields, 2016]

25. Marek Biskup, Oren Louidor, Eviatar B. Procaccia, Ron Rosenthal, Isoperimetry in two-dimensional percolation, [arXiv, Comunications of pure and applied mathematics 2015]

26. Eviatar B. Procaccia, Eric Shellef, On the range of a Random Walk In a Torus and Random Interlacements, [arXiv, Annals of Probability 2014]

27. Noam Berger, Jacob Kagan, Eviatar B. Procaccia, Stretch IDLA, [arXiv,  Lat. Am. J. Probab (ALEA) 2014]

28. Itai Benjamini, Van Cyr, Eviatar B. Procaccia, Ran J. Tessler, Harmonic Labeling of Graphs, [arXiv, Discrete Mathematics 2013]

29. Eviatar B.Procaccia, Ron Rosenthal, The need for speed: Maximizing random walks speed on fixed environments, [arXiv, Electronic Journal of probability 2012]

30. Eviatar B.Procaccia, Ron Rosenthal, Concentration estimates for the isoperimetic constant of the super critical percolation cluster, [arXiv, Electronic communications in probability 2012]

31. Eviatar B. Procaccia, Johan Tykesson, Geometry of the Random Interlacement, [arXiv, Electronic communications in probability 2011]

Preprint papers:

1. Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia, The Double Buble problem in hexagonal norm, [arXiv, 2023]

2. Zhenhao Cai, Gady Kozma, Eviatar B. Procaccia, Yuan Zhang, Vertex-removal stability and the least positive value of harmonic measures, [arXiv, 2023]

3. Eviatar B. Procaccia, Anna Zhuchenko, Cylindrical Hastings Levitov, [arXiv, 2023]

4. Oren Louidor, Chanwoo Oh, Eviatar B. Procaccia, A toy model for DLA arm growth in a wedge, [arXiv, 2022]

5. Noam Berger, Eviatar B. Procaccia, Mutually excited random walks, [arXiv, 2012]

Technical reports:

1. Eviatar B. Procaccia, Yuan Zhang, Alternative approach on covering probability when d=3, [PDF]

Google Scholar page: 

https://scholar.google.com/citations?user=a3m4SvAAAAAJ&hl=en

Co-authors: Itai Benjamini, Noam Berger, Marek Biskup, Van Cyr, Sarai Hernandez-Torres, Olivier Garet, Oren Louidor, Régine Marchand, Ariel Procaccia, Itamar Procaccia,  Ron Rosenthal, Artem Sapozhnikov, Eric Shellef, Marie Théret, Ran J. Tessler, Amanda Turner,  Johan Tykesson, Jiayan Ye, Yuan Zhang.