3 problems

0 votes0 replies0 views
The density conjecture for the family lambda tan z
Let ${\cal F}$ be the holomorphic family defined over ${\bf C}-\{0\}$ , and let J-stable maps be the maps whose Julia sets vary stably in this family. The Density Conjecture. The hy…
Conjectureopencomplex-dynamics holomorphic-familiesarXiv posted 2 days ago
0 votes0 replies1 view
Nonextendability conjecture for the holomorphic family of operators $H_m$
For $m$ with $4\operatorname{Re}m>-14$ , let $H_m$ denote the family of closed operators defined by the preceding construction. A holomorphic family of closed operators is a paramet…
Conjectureopenholomorphic-families inverse-square-potentials operator-theoryarXiv posted 2 days ago
0 votes0 replies0 views
Fatou's conjecture on non-hyperbolic components
Fatou's conjecture. Such non-hyperbolic components do not exist.
Conjectureopencomplex-dynamics holomorphic-families rational-mapsarXiv posted 2 days ago

The density conjecture for the family lambda tan z