For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.
On the geometry of the Birkhoff polytope I: the operator ^p_N -norms , journal=
3 Pith papers cite this work. Polarity classification is still indexing.
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Superlinear approximation of permutons by permutations occurs only when the permuton is supported on the graph of a measure-preserving function, with local regularity controlling the rate; the biased Brownian separable permuton has a positive lower bound on approximation error almost surely.
Characterizes asymptotic behaviors of products of doubly stochastic matrices into cyclicity, convergence, or divergence and gives a novel sufficient condition for convergence.
citing papers explorer
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Norm of infinite doubly stochastic matrices
For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.
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On the approximation of permutons
Superlinear approximation of permutons by permutations occurs only when the permuton is supported on the graph of a measure-preserving function, with local regularity controlling the rate; the biased Brownian separable permuton has a positive lower bound on approximation error almost surely.
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On the convergence of doubly stochastic Markov chains
Characterizes asymptotic behaviors of products of doubly stochastic matrices into cyclicity, convergence, or divergence and gives a novel sufficient condition for convergence.