Conditional Stability and Real Analytic Pseudo-Anosov Maps

· American Mathematical Society: Memoirs of the American Mathematical Society Boek 321 · American Mathematical Soc.
E-boek
116
Bladsye

Meer oor hierdie e-boek

We show that the smooth pseudo-Anosov diffeomorphisms constructed by Gerber and Katok satisfy a "conditional structural stability" property, i.e. structural stability with respect to C1 perturbations which preserve some finite number of jets at a given finite collection of points.As a corollary, we obtain real analytic diffeomorphisms which are Bernoulli with respect to a smooth invariant measure and which are conjugate to Thurston's pseudo-Anosov homeomorphisms. These results also hold for generalized pseudo-Anosov diffeomorphisms. In particular, this proves the existence of real-analytic Bernoulli diffeomorphisms on the two-dimensional disk which preserve Lebesgue measure.

Gradeer hierdie e-boek

Sê vir ons wat jy dink.

Lees inligting

Slimfone en tablette
Installeer die Google Play Boeke-program vir Android en iPad/iPhone. Dit sinkroniseer outomaties met jou rekening en maak dit vir jou moontlik om aanlyn of vanlyn te lees waar jy ook al is.
Skootrekenaars en rekenaars
Jy kan jou rekenaar se webblaaier gebruik om na oudioboeke wat jy op Google Play gekoop het, te luister.
E-lesers en ander toestelle
Om op e-inktoestelle soos Kobo-e-lesers te lees, moet jy ’n lêer aflaai en dit na jou toestel toe oordra. Volg die gedetailleerde hulpsentrumaanwysings om die lêers na ondersteunde e-lesers toe oor te dra.