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Graphons, cut norm and distance, couplings and rearrangements
Graphons cut norm distance couplings rearrangements
2010/12/6
We give a survey of basic results on the cut norm and cut metric for graphons (and sometimes more general kernels), with emphasis on the equivalence problem. The main results are not new, but we add v...
Discrete integrable systems, positivity, and continued fraction rearrangements
cluster algebras Laurent phenomenon positivity integrable systems
2010/12/3
In this review article, we present a unified approach to solving discrete,integrable, possibly non-commutative, dynamical systems, including the Qand T-systems based on Ar.
Inequalities Related to Rearrangements of Powers and Symmetric Polynomials
Symmetric Polynomials Permutations Inequalities
2008/7/1
Inequalities Related to Rearrangements of Powers and Symmetric Polynomials.
Rearrangements of the Coefficients of Ordinary Differential Equations
Rearrangements Nonconvex set Extremal couples
2008/6/27
We establish extremal values of a solution y of a second-order initial value problem as the coefficients vary in a nonconvex set. These results extend earlier work by M. Essen in particular by allowin...
Superquadracity of Functions and Rearrangements of Sets
Superquadratic functions Convex functions Jensen's inequality
2008/6/26
Superquadracity of Functions and Rearrangements of Sets.