38 citations · 191 across the 25 of their papers we have counts for
13 papers · 1 filter
Plabic Tangles and Cluster Promotion Maps
Chaim Even-Zohar, Matteo Parisi, Melissa Sherman-Bennett +2
Inspired by the BCFW recurrence for tilings of the amplituhedron, we introduce the general framework of `plabic tangles' that utilizes plabic graphs to define rational maps between…
BCFW tilings and cluster adjacency for the amplituhedron
Chaim Even-Zohar, Tsviqa Lakrec, Matteo Parisi +3
In 2005, Britto, Cachazo, Feng and Witten gave a recurrence (now known as the BCFW recurrence) for computing scattering amplitudes in N=4 super Yang Mills theory. Arkani-Hamed and…
A cluster of results on amplituhedron tiles
Chaim Even-Zohar, Tsviqa Lakrec, Matteo Parisi +3
The amplituhedron is a mathematical object which was introduced to provide a geometric origin of scattering amplitudes in super Yang Mills theory. It generalizes \e…
Cluster algebras and tilings for the m=4 amplituhedron
Chaim Even-Zohar, Tsviqa Lakrec, Matteo Parisi +3
The amplituhedron is the image of the positive Grassmannian under the map induced by a positive linear ma…
Sizes of Simultaneous Core Partitions
Chaim Even-Zohar
There is a well-studied correspondence by Jaclyn Anderson between partitions that avoid hooks of length s or t and certain binary strings of length s+t. Using this map, we prove th…
Random Surfaces with Boundary
Chaim Even-Zohar, Michael Farber
A surface with boundary is randomly generated by gluing polygons along some of their sides. We show that its genus and number of boundary components asymptotically follow a bivaria…
Patterns in Random Permutations
Chaim Even-Zohar
Every k entries in a permutation can have one of k! different relative orders, called patterns. How many times does each pattern occur in a large random permutation of size n? The…
The Writhe of Permutations and Random Framed Knots
Chaim Even-Zohar
We introduce and study the writhe of a permutation, a circular variant of the well-known inversion number. This simple permutation statistics has several interpretations, which lea…
A Note on the Inducibility of 4-vertex Graphs
Chaim Even-Zohar, Nati Linial
There is much recent interest in understanding the density at which constant size graphs can appear in a very large graph. Specifically, the inducibility of a graph H is its extrem…
Triply Existentially Complete Triangle-Free Graphs
Chaim Even-Zohar, Nati Linial
A triangle-free graph G is called k-existentially complete if for every induced k-vertex subgraph H of G, every extension of H to a (k+1)-vertex triangle-free graph can be realized…
The Freiman--Ruzsa Theorem over Finite Fields
Chaim Even-Zohar, Shachar Lovett
Let G be a finite abelian group of torsion r and let A be a subset of G. The Freiman--Ruzsa theorem asserts that if |A+A| < K|A| then A is contained in a coset of a subgroup of G o…
Small asymmetric sumsets in elementary abelian 2-groups
Chaim Even-Zohar, Vsevolod F. Lev
Let A and B be subsets of an elementary abelian 2-group G, none of which are contained in a coset of a proper subgroup. Extending onto potentially distinct summands a result of Hen…
On Sums of Generating Sets in (Z_2)^n
Chaim Even-Zohar
Let A and B be two affinely generating sets of (Z_2)^n. As usual, we denote their Minkowski sum by A+B. How small can A+B be, given the cardinalities of A and B? We give a tight an…