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The following theorem is the indefinite version of the Chaotic Furuta inequality, a result previously stated in the context of Hilbert spaces by Fujii, Furuta and Kamei [ 5 ]..
asymptotic limit case of a high thermal conductivity, the temperature becomes a constant solving an implicit total energy equation involving the viscosity function and
The following proposition is a consequence of [V], p.140, Theorem 2’ (the quoted theorem of Varopoulos is stronger than this statement):..
Using known estimates for linear forms in p-adic logarithms, we prove that a previous result, con- cerning the particular case of quadratic numbers, is close to be the best
Indeed, if H is such that its Delone sets are all finite, then Question 1.2 can be answered by the classical properties of the Hausdorff metric on the space of compact subsets of H
Eigenvalue, Majorization, Matrix absolute value, Matrix inequality, Matrix norm, Normal matrix, Positive semidefinite matrix, Singular value, Spread, Wielandt inequality.. AMS
Then the corre- sponding companion matrix F a is similar to the diagonal matrix D.. The main result of this section is
Consider, for instance, the crossing probability of a square in (ordinary) two-dimensional Bernoulli percolation in the scaling limit (i.e., as the lattice spacing goes to zero)
