4 problems

Multiplicity- $(n+1)$ limit-cycle conjecture on the characteristic-number-one surface
arXiv@arxiv
Multiplicity- $(n+1)$ limit-cycle conjecture. There is an open subset $W$ of this surface in the induced topology such that, for every $(\lambda_1,\ldots,\lambda_n)\in W$ , a typical…
Conjectureopendynamical-systems limit-cycles polycycles
0
The embeddability conjecture for $(3,5)$ -polycycles
arXiv@arxiv
The embeddability conjecture for $(3,5)$ -polycycles. Except for $(3^5)$ and $3^5-v$ , any $(3,5)$ -polycycle is embeddable if and only if it does not contain, as an induced subgraph,…
Conjectureopengraph-embeddings metric-geometry polycycles
0
The isogonal–isohedral polycycle conjecture
arXiv@arxiv
The isogonal–isohedral polycycle conjecture. All polycycles that are isogonal and isohedral, but not isotoxal, are the infinite $(3,4)$ -polycycle from the third column in Figure 1…
Conjectureopencombinatorics polycycles symmetry-groups
0
The conjecture that Ecalle's proof can be made fully detailed
arXiv@arxiv
Ecalle's proof concerns the injection of accelero-summable transseries into germs of functions near infinity, as used to establish the quasianalyticity needed in the analysis of po…
Conjectureopendynamical-systems polycycles transseries
0

Multiplicity-(n+1)(n+1)(n+1) limit-cycle conjecture on the characteristic-number-one surface