week15 cover

, 6, then L(7) 6= 0; the origin is a fine focus of maximum order seven, at most seven small amplitude limit cycles can be bifurcated from the origin.. Sufficient

In Section 3 we generalize to several complex variables a result which is due to Schi¤er in the one-dimensional case: the degree of a holomorphic map between two annuli is bounded by

In view of Theorems 2 and 3, we need to find some explicit existence criteria for eventually positive and/or bounded solutions of recurrence re- lations of form (2) so that

“Breuil-M´ezard conjecture and modularity lifting for potentially semistable deformations after

The nested branching process is supercritical. We need a standard large deviation estimate. If m was chosen large enough, we have that M > 1 and hence that the branching process

This difference inequality was introduced in [14] to study the existence of attractors for some nonlinear wave equations with nonlinear dissipation.. Some other applications to

The equivalence L Adj(R-Inst, S-Inst) ' R Adj(S-Inst, R-Inst) op is standard, so we only need to show that this equivalence re- spects the restrictions concerning Type.. The

As for classifying W -algebras one uses cohomology with values in a sheaf of groups, so to classify W -algebroids we need a cohomology theory with values in a stack with