334 citations · 2.6k across the 129 of their papers we have counts for
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Order isomorphisms of sup-stable function spaces: continuous, Lipschitz, c-convex, and beyond
Pierre-Cyril Aubin-Frankowski, Stéphane Gaubert
There have been many parallel streams of research studying order isomorphisms of some specific sets of functions from a set to , such as the se…
Tropical reproducing kernels and optimization
Pierre-Cyril Aubin-Frankowski, Stéphane Gaubert
Hilbertian kernel methods and their positive semidefinite kernels have been extensively used in various fields of applied mathematics and machine learning, owing to their several e…
Spectral inequalities for nonnegative tensors and their tropical analogues
Shmuel Friedland, Stéphane Gaubert
We extend some characterizations and inequalities for the eigenvalues of nonnegative matrices, such as Donsker-Varadhan, Friedland-Karlin, Karlin-Ost inequalities, to nonnegative t…
Dobrushin's ergodicity coefficient for Markov operators on cones
Stephane Gaubert, Zheng Qu
We give a characterization of the contraction ratio of bounded linear maps in Banach space with respect to Hopf's oscillation seminorm, which is the infinitesimal distance associat…
Uniqueness of the fixed point of nonexpansive semidifferentiable maps
Marianne Akian, Stephane Gaubert, Roger Nussbaum
We consider semidifferentiable (possibly nonsmooth) maps, acting on a subset of a Banach space, that are nonexpansive either in the norm of the space or in the Hilbert's or Thompso…
A Collatz-Wielandt characterization of the spectral radius of order-preserving homogeneous maps on cones
Marianne Akian, Stephane Gaubert, Roger Nussbaum
Several notions of spectral radius arise in the study of nonlinear order-preserving positively homogeneous self-maps of cones in Banach spaces. We give conditions that guarantee th…