arXiv subjects

Jacob J. Kagan

Publications and source records attributed to Jacob J. Kagan.

2 recordsLinked to original sources

arXiv2018

Domino Tile Placing on Graphs

Given a graph $G$ we consider sequentially placing dimers on it, namely choosing a maximal independent subset of edges, i.e. edges that do not share common vertices. We study the number of vertices that do not belong to any edge found in the maximal set. We prove a CLT result for this model in the case when the underlying graph is $\mathbb{Z}^d$.

math.PR↗

arXiv2014

Stretch IDLA

We consider a new IDLA - particle system model, on the upper half planar lattice, resulting in an infinite forest covering the half plane. We prove that almost surely all trees are finite.

math.PR↗