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The asymptotic volume of the polytope of symmetric stochastic matrices can be determined by asymptotic enumeration techniques as in the case of the Birkhoff polytope.
Asymptotic Enumeration by Degree Sequence of Graphs of High Degree
B.D. McKay and N.C. Wormald · 1990
Earlier work this paper cites.
Enumerative Combinatorics
R.P. Stanley · 2002
Earlier work this paper cites.
Convex and Discrete Geometry
P.M. Gruber · 2007
Cited alongside, same era.
The asymptotic volume of the Birkhoff polytope
E.R. Canfield and B.D. McKay · 2009
Cited alongside, same era.
Asymptotic enumeration of symmetric integer matrices with uniform row sums
B.D. McKay and J.C. McLeod
Cited in the paper.
Asymptotic Enumeration of Integer Matrices with Large Equal Row and Column Sums
E.R. Canfield and B.D. McKay
Cited in the paper.
http://users.cecs.anu.edu.au/ bdm/data/intmat.html, 2012
B.D. McKay and J.C. McLeod · 2012
Later among the works it cites.
Complex martingales and asymptotic enumeration
B.D. McKay and M. Isaev · 2016
Later among the works it cites.
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