Homogenization theorem establishing resolvent convergence of periodic convolution-type nonlocal operators to a homogenized operator comparable to the fractional Laplacian under Lévy tail assumptions.
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Establishes Kantorovich duality for linearized non-quadratic quantum optimal transport realized by channels, determines optimal primal-dual solutions for qubits under state restrictions, and proves the triangle inequality for the square of the induced quantum Wasserstein divergences.
Homogenization theorems are established for general nonlocal operators with oscillating coefficients in periodic and stochastic settings via Gamma-convergence, extended to nonlinear cases.
citing papers explorer
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Periodic homogenization of convolution type operators with irregular L\'{e}vy type tails
Homogenization theorem establishing resolvent convergence of periodic convolution-type nonlocal operators to a homogenized operator comparable to the fractional Laplacian under Lévy tail assumptions.
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Strong Kantorovich duality for quantum optimal transport with generic cost and optimal couplings on quantum bits
Establishes Kantorovich duality for linearized non-quadratic quantum optimal transport realized by channels, determines optimal primal-dual solutions for qubits under state restrictions, and proves the triangle inequality for the square of the induced quantum Wasserstein divergences.
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Periodic and stochastic homogenization of general nonlocal operators with oscillating coefficients
Homogenization theorems are established for general nonlocal operators with oscillating coefficients in periodic and stochastic settings via Gamma-convergence, extended to nonlinear cases.