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math.PR2017★ 2 cited
Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials
Dmitry Beliaev, Stephen Muirhead, Igor Wigman
We study the percolation properties of the nodal structures of random fields. Lower bounds on crossing probabilities (RSW-type estimates) of quads by nodal domains or nodal sets of…
cond-mat.stat-mech2017★ 10 cited
How anisotropy beats fractality in two-dimensional on-lattice DLA growth
Denis S. Grebenkov, Dmitry Beliaev
We study the fractal structure of Diffusion-Limited Aggregation (DLA) clusters on the square lattice by extensive numerical simulations (with clusters having up to particles…