Fetching the paper…
Reading the bibliography…
One of the equivalent formulations of the Kadison-Singer problem which was resolved in 2013 by Marcus, Spielman and Srivastava, is the "paving conjecture".
“An Inequality for Hyperbolic Polynomials”
Lars Gårding · 1959
Earlier work this paper cites.
“Extensions of Pure States”
Richard. Kadison and I.. Singer · 1959
Earlier work this paper cites.
“Extensions, Restrictions, and Representations of States on C ∗ C^{*} -Algebras”
Joel Anderson · 1979
Earlier work this paper cites.
“Obreschkoff’s Theorem Revisited: What Convex Sets are Contained in the Set of Hyperbolic Polynomials?”
Jean-Pierre Dedieu · 1992
Earlier work this paper cites.
“Towards a Theory of Negative Dependence”
Robin Pemantle · 2000
Earlier work this paper cites.
“Analytic Theory of Polynomials” 26
Qazi Rahman and Gerhard Schmeisser · 2002
Earlier work this paper cites.
“Combinatorics Hidden in Hyperbolic Polynomials and Related Topics”
Leonid Gurvits · 2004
Earlier work this paper cites.
“Polynomials with the Half-Plane Property and Matroid Theory”
Petter Brändén · 2007
Earlier work this paper cites.
“Application of Stable Polynomials to Mixed Determinants: Johnson’s Conjectures, Unimodality, and Symmetrized Fischer Products”
Julius Borcea and Petter Brändén · 2008
Earlier work this paper cites.
“Negative Dependence and the Geometry of Polynomials”
Julius Borcea, Petter Brändén and Thomas. Liggett · 2009
Earlier work this paper cites.
“Zeros of Gaussian analytic functions and determinantal point processes”
John Hough, Manjunath Krishnapur, Yuval Peres and Bálint Virág · 2009
Cited alongside, same era.
“Multivariate Pólya–Schur Classification Problems in the Weyl Algebra”
Julius Borcea and Petter Brändén · 2010
Cited alongside, same era.
“A Randomized Rounding Approach to the Traveling Salesman Problem”
Shayan Gharan, Amin Saberi and Mohit Singh · 2011
Cited alongside, same era.
“Inequalities: Theory of Majorization and its Applications”
Albert. Marshall, Ingram Olkin and Barry. Arnold · 2011
Cited alongside, same era.
“Multivariate Stable Polynomials: Theory and Applications”
David Wagner · 2011
Cited alongside, same era.
“Negative Dependence in Sampling”
Petter Brändén and Johan Jonasson · 2012
Cited alongside, same era.
“Concentration of Lipschitz Functionals of Determinantal and Other Strong Rayleigh Measures”
Robin Pemantle and Yuval Peres · 2014
Later among the works it cites.
“Interlacing Families I: Bipartite Ramanujan Graphs of All Degrees”
Adam. Marcus, Daniel. Spielman and Nikhil Srivastava · 2015
Later among the works it cites.
“Interlacing Families II: Mixed Characteristic Polynomials and the Kadison-Singer Problem”
Adam. Marcus, Daniel. Spielman and Nikhil Srivastava · 2015
Later among the works it cites.
“Monte Carlo Markov Chain Agorithms for Sampling Strongly Rayleigh Distributions and Determinantal Point Processes”
Nima Anari, Shayan Gharan and Alireza Rezaei · 2016
Later among the works it cites.
“Multivariate CLT Follows From Strong Rayleigh Property”
Subhroshekhar Ghosh, Thomas. Liggett and Robin Pemantle · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
“Hyperbolicity and stable polynomials in combinatorics and probability”
Robin Pemantle · 2012
Cited alongside, same era.
“Real Stable Polynomials and the Kadison-Singer Problem”, 2013
Terence Tao · 2013
Cited alongside, same era.
“The Kadison-Singer Problem for Strongly Rayleigh Measures and Applications to Asymmetric TSP”
Nima Anari and Shayan Gharan · 2014
Cited alongside, same era.
“Log-concave Polynomials I: Entropy, and a Deterministic Approximation Algorithm for Counting Bases of Matroids”
Nima Anari, Shayan Gharan and Cynthia Vinzant · 2018
Later among the works it cites.
“The Kadison-Singer Problem”
Marcin Bownik · 2018
Later among the works it cites.
“Hyperbolic Polynomials and the Kadison-Singer Problem”
Petter Brändén · 2018
Later among the works it cites.
“Mixed Determinants and the Kadison-Singer Problem”
Jonathan Leake and Mohan Ravichandran · 2020
Closest in time.