Convergence and multiplicities for the Lempert function

After addition of a bacterial culture to the rearing water, gnotobiotic larvae and mosquitoes are obtained and can be used to study the impact of a manipulated microbiota on

Often we are asked to find the local maximum and minimum points (of a graph), or the local maximum and minimum values (reached by a function). Definition : The minimum (plural

The field of infinite sum analyses alone is quite vast and though techniques and tests have been formulated over the centuries; only the ’well behaved’ or the monotone subset of

Results on exponential growth rate of the number of closed orbits for certain Reeb flows on a large class of closed contact 3-manifolds are proved in [10].. The simply

We prove that these q-multiplicities are equal to certain Kostka-Foulkes polynomials related to the root systems C or D.. Finally we express the corresponding multiplicities in terms

The first purpose of this paper is to explain how one can “compute” geometri- cally the mutiplicities of a holomorphic representation of a real simple Lie group relatively to a

When 2k is small compared with A, the level of smoothing, then the main contribution to the moments come from integers with only large prime factors, as one would hope for in

In [3], Ballmann and Ziller proved that the number of closed geodesics of any bumpy Riemannian metric on a compact, simply connected manifold M grows like the max- imal Betti number