Optimal partitions for the sum and the maximum of eigenvalues

Les observations que llOUS avons réalisées ont eu lieu dans le contexlE de pratiques très différentes : celui d'une classe, disons ordinaire ( au sens propre du

Our paper focuses on limit shapes for a class of measures associated with the generalized Maxwell–Boltzmann models in statisti- cal mechanics, reversible

As we are interested in the asymptotic behavior of the partitions function when n becomes large, the total number of degrees of freedom in the problem can become quite large (in

First, we mention that the numerical results satisfy the theoretical properties proved in [9] and in Theorem 1.3: the lack of triple points, the lack of triple points on the

Structure of the paper In the following section, we apply known results to obtain estimates of the energy of optimal partitions in the case of a disk, a square or an

It is straightforward to show, by using Lemma 1.1, that a nontrivial direct product of finite groups has a nontrivial partition if and only if there exists a prime p such that each

When mini- mizing over Dirichlet-Neumann problems in Ω lh (by putting Dirichlet except Neumann on ]x 0 , a 2 ] × { 0 } ), one observes that the minimal second eigenvalue (as a

Terracini [18, 19], we analyze the dependence of the nodal picture of the eigenvalues of the Aharonov-Bohm Hamiltonian on the square as a function of the pole and propose new