38 citations · 191 across the 25 of their papers we have counts for
25 papers
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…
Random Colorings in Manifolds
Chaim Even-Zohar, Joel Hass
We develop a general method for constructing random manifolds and submanifolds in arbitrary dimensions. The method is based on associating colors to the vertices of a triangulated…
The Amplituhedron BCFW Triangulation
Chaim Even-Zohar, Tsviqa Lakrec, Ran J. Tessler
The amplituhedron Ank4 is a geometric object, introduced by Arkani-Hamed and Trnka (2013) in the study of scattering amplitudes in quantum field theories. They conjecture that Ank4…
Virtual Multicrossings and Petal Diagrams for Virtual Knots and Links
Colin Adams, Chaim Even-Zohar, Jonah Greenberg +6
Multicrossings, which have previously been defined for classical knots and links, are extended to virtual knots and links. In particular, petal diagrams are shown to exist for all…
Ample simplicial complexes
Chaim Even-Zohar, Michael Farber, Lewis Mead
Motivated by potential applications in network theory, engineering and computer science, we study -ample simplicial complexes. These complexes can be viewed as finite approximat…
Spectral Analysis of Word Statistics
Chaim Even-Zohar, Tsviqa Lakrec, Ran J. Tessler
Given a random text over a finite alphabet, we study the frequencies at which fixed-length words occur as subsequences. As the data size grows, the joint distribution of word count…
independence: Fast Rank Tests
Chaim Even-Zohar
In 1948 Hoeffding devised a nonparametric test that detects dependence between two continuous random variables X and Y, based on the ranking of n paired samples (Xi,Yi). The comput…
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…
Counting Small Permutation Patterns
Chaim Even-Zohar, Calvin Leng
A sample of n generic points in the xy-plane defines a permutation that relates their ranks along the two axes. Every subset of k points similarly defines a pattern, which occurs i…
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…
Universal Knot Diagrams
Chaim Even-Zohar, Joel Hass, Nati Linial +1
We study collections of planar curves that yield diagrams for all knots. In particular, we show that a very special class called potholder curves carries all knots. This has implic…
Models of Random Knots
Chaim Even-Zohar
The study of knots and links from a probabilistic viewpoint provides insight into the behavior of "typical" knots, and opens avenues for new constructions of knots and other topolo…
The Distribution of Knots in the Petaluma Model
Chaim Even-Zohar, Joel Hass, Nati Linial +1
The representation of knots by petal diagrams (Adams et al. 2012) naturally defines a sequence of distributions on the set of knots. In this article we establish some basic propert…
Crossing Numbers of Random Two-Bridge Knots
Moshe Cohen, Chaim Even-Zohar, Sunder Ram Krishnan
In a previous work, the first and third authors studied a random knot model for all two-bridge knots using billiard table diagrams. Here we present a closed formula for the distrib…
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…
Invariants of Random Knots and Links
Chaim Even-Zohar, Joel Hass, Nati Linial +1
We study random knots and links in R^3 using the Petaluma model, which is based on the petal projections developed by Adams et al. (2012). In this model we obtain a formula for the…
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…