Papers and preprints:
Eigenvalues and spectral gap in sparse random simplicial complexes
Joint with Shaked Leibzirer.
Preprint arXiv:2202.00349, 30 pages.
The chemical distance in random interlacements in the low-intensity regime
Joint with Saraí Hernández-Torres and Eviatar Procaccia.
Communications in Mathematical Physics, Volume 400, Pages 1697-1737, Year 2023, [Arxiv version]
Simplicial spanning trees in random Steiner complexes Joint work with Lior Tenenbaum. Combinatorica, Volume 43, Pages 613-650, [Arxiv version]
On the spectrum of dense random geometric graphs Joint work with Kartick Adhikari, Robert J. Adler and Omer Bobrowski. Annals of Applied Probability, Volume 32, Year 2022, Papaer Number 3, Pages 17340-1773. [Arxiv version]
Eigenvector correlations in the complex Ginibre ensemble Joint work with Nicholas Crawford. Annals of Applied Probability, Volume 32, No. 4, Year 2022, Pages 2706-2754. [Arxiv version]
Stabilization of DLA in a wedge Joint work with Eviatar Procaccia and Yuan Zhang. Electronic Journal of Probability, Volume 25, Year 2020, Paper Number 42, 22 pages. [Arxiv version]
Isotropic self-consistent equations for mean-field random matrices Joint work with Yukun He and Antti Knowles. Probability Theory and Related Fields, Volume 171, Year 2018, Pages 203-249. [Arxiv version]
On groups and simplicial complexes
Joint work with Alex Lubotzky and Zur Luria. European Journal of Combinatorics, Volume 70, Year 2018, Pages 408-444. [Arxiv version]
Random Steiner systems and bounded degree coboundary expanders of every dimension Joint work with Alex Lubotzky and Zur Luria. Discrete & Computational Geometry, Volume 62, Issue 4, Year 2019, Pages 813-831. [Arxiv version]
Eigenvalue confinement and spectral gap for random simplicial complexes Joint work with Antti Knowles. Random Structures & Algorithms, Volume 51, Issue 3, Year 2017, Pages 506-537. [Arxiv version]
Non-metricity in the continuum limit of randomly-distributed point defects Joint work with Raz Kupferman and Cy Maor. Israel Journal of Mathematics, Volume 223, Issue 1, Year 2018, Pages 75-139. [Arxiv version]
Simplicial branching random walks and their applications Journal of applied and computational topology [Arxiv version].
Local limit theorem and equivalence of dynamic and static points of view for certainballistic random walks in i.i.d. environments Joint work with Noam Berger and Moran Cohen. Annals of Probability, Volume 44, Issue 4, Year 2016, Pages 2889-2979. [Arxiv version]
Quenched invariance principle for simple random walk on clusters in correlated percolation models Joint work with Eviatar Procaccia and Artem Sapozhnikov. Probability Theory and Related Fields, Volume 166, Issue 3, Year 2016, Pages 619-657. [Arxiv version]
Simplicial complexes: spectrum, homology and random walks Joint work with Ori Parzanchevski. Random Structures & Algorithms, Volume 50, Issue 2, Year 2017, Pages 225–261. [Arxiv version]
Isoperimetry in two-dimensional percolation Joint work with Marek Biskup, Oren Louidor and Eviatar Procaccia. Communication on Pure and Applied Mathematics, Volume 68, Issue 9, year 2015, pages 1483-1531. [Arxiv version]
Isoperimetric inequalities in simplicial complexes Joint work with Ori Parzanchevski and Ran Tessler. Combinatorica, Volume 36, Issue 2, Year 2016, Pages 195-227. [Arxiv version]
Concentration estimates for the isoperimetric constant of the super critical percolation cluster Joint work with Eviatar Procaccia Electronic Communications in Probability 17, Paper number 30, Year 2012, Pages 1-11. [Arxiv version]
The need for speed: Maximizing random walks speed on fixed environments Joint work with Eviatar Procaccia Electronic Journal of Probability, Volume 17, Paper number 13, Year 2011, Pages 1-19. [Arxiv version]
Random walks on discrete point processes Joint work with Noam Berger. Annales de l’Institut Henri Poincaré journal (B), Volume 51, Number 2, Year 2015, Pages 727-755. [Arxiv version]
Book reviews
50 years of first passage percolation To appear in Bulletin of the American Mathematical Society.
Co-authors
Kartick Adhikari, Robert J. Adler, Noam Berger, Marek Biskup, Omer Bobrowski, Moran Cohen, Nicholas Crawford, Yukun He, Saraí Hernández-Torres, Antti Knowles, Raz Kupferman, Shaked Leibzirer, Oren Louidor, Alex Lubotzky, Zur Luria, Cy Maor, Ori Parzanchevski, Eviatar Procaccia, Artem Sapozhnikov, Lior Tenenbaum, Ran Tessler, Yuan Zhang