We estimate the expected number of limit cycles of a planar polynomial vector field situated in a neighbourhood of the origin provided that the field in a larger neighbourhood is close enough to a ...

Despite their small size, organisms smaller than a thousandth of a meter (1 mm) contribute greatly to biodiversity and ecosystem function. Unfortunately, categorizing small organisms—even ...

We consider infinite conformai function systems on ℝd. We study the geometric structure of the limit set of such systems. Suppose this limit set intersects some l-dimensional C¹-submanifold with ...