0 M ay 2 00 4 Renormalizing iterated elementary mappings and correspondences of C 2 ∗

Renormalizing Iterated Elementary Mappings and Correspondences of C

After proving a multi-dimensional extension of Zalcman’s renormalization lemma and considering maximality problems about dimensions, we find renormalizing polynomial families for iterated elementary mappings, extending this result to some kinds of correspondences (by means of ’algebraic’ renormalizing families) and to the family of the iterated mappings of an automorphism of C2 admitting a repu...

. hi st - p h ] 1 4 M ay 2 00 9 Bhabha ’ s Contributions to Elementary Particle Physics and Cosmic Rays Research

Design of observers and certainty equivalence controllers for differential inclusions: a passivity approach

This paper deals with the design of state observers for a class of systems with set-valued right-handsides. Two main classes of set-valued mappings are considered: maximal monotone and time-invariant; or normal cones to possibly time-varying sets (not necessarily convex). Such controlled systems can be embedded in various kinds of differential inclusions with absolutely continuous and bounded v...

. pl as m - p h ] 1 4 M ay 2 00 5 Two - fluid tokamak equilibria with reversed magnetic shear and sheared flow 1

X iv :p hy si cs /0 50 51 01 v1 [ ph ys ic s. pl as m -p h] 1 4 M ay 2 00 5 Two-fluid tokamak equilibria with reversed magnetic shear and sheared flow 1 G. Poulipoulis, G. N. Throumoulopoulos, H. Tasso University of Ioannina, Association Euratom Hellenic Republic, Section of Theoretical Physics, GR 451 10 Ioannina, Greece Max-Planck-Institut für Plasmaphysik, Euratom Association, D-85748 Garchi...

ar X iv : m at h / 04 11 14 0 v 2 [ m at h . N T ] 4 M ay 2 00 5 THE 3 x + 1 SEMIGROUP

The 3x + 1 semigroup is the multiplicative semigroup S of positive rational numbers generated by { 2k+1 3k+2 : k ≥ 0} together with {2}. This semigroup encodes backwards iteration under the 3x + 1 map, and the 3x + 1 conjecture implies that it contains every positive integer. This semigroup is proved to be the set of positive rationals a b in lowest terms with b 6≡ 0( mod 3), and so contains al...