The eigenvalues of hypoelliptic operators
A. Menikoff, Johannes Sjöstrand (1977)
Journées équations aux dérivées partielles
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Displaying similar documents to “On the eigenvalues of a class of hypo-elliptic operators. IV”
The eigenvalues of hypoelliptic operators
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Error estimate in the generalized Szegö theorem
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Semiclassical expansion for the thermodynamic limit of the ground state energy of Kac's operator
Bernard Helffer, Thierry Ramond (2000)
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We continue the study started by the first author of the semiclassical Kac Operator. This kind of operator has been obtained for example by M. Kac as he was studying a 2D spin lattice by the so-called “transfer operator method”. We are interested here in the thermodynamical limit of the ground state energy of this operator. For Kac’s spin model, is the free energy per spin, and the semiclassical regime corresponds to the mean-field approximation. Under suitable assumptions, which...