Matches in SemOpenAlex for { <https://semopenalex.org/work/W4379446011> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W4379446011 abstract "We initiate a parametric study of holomorphic families of polynomial skew products, i.e., polynomial endomorphisms of $mathbb{C}^2$ of the form $F(z,w)= (p(z), q(z,w))$ that extend to holomorphic endomorphisms of $mathbb{P}^2(mathbb{C})$. We prove that dynamical stability in the sense of arXiv:1403.7603 preserves hyperbolicity within such families, and give a complete classification of the hyperbolic components that are the analogue, in this setting, of the complement of the Mandelbrot set for the family $z^2 +c$. We also precisely describe the geometry of the bifurcation locus and current near the boundary of the parameter space. One of our tools is an asymptotic equidistribution property for the bifurcation current. This is established in the general setting of families of endomorphisms of $mathbb{P}^k$ and is the first equidistribution result of this kind for holomorphic dynamical systems in dimension larger than one." @default.
- W4379446011 created "2023-06-06" @default.
- W4379446011 creator A5015592819 @default.
- W4379446011 creator A5082317460 @default.
- W4379446011 date "2018-01-04" @default.
- W4379446011 modified "2023-10-01" @default.
- W4379446011 title "Hyperbolicity and bifurcations in holomorphic families of polynomial skew products" @default.
- W4379446011 doi "https://doi.org/10.48550/arxiv.1801.01460" @default.
- W4379446011 hasPublicationYear "2018" @default.
- W4379446011 type Work @default.
- W4379446011 citedByCount "0" @default.
- W4379446011 crossrefType "posted-content" @default.
- W4379446011 hasAuthorship W4379446011A5015592819 @default.
- W4379446011 hasAuthorship W4379446011A5082317460 @default.
- W4379446011 hasBestOaLocation W43794460111 @default.
- W4379446011 hasConcept C116858840 @default.
- W4379446011 hasConcept C118615104 @default.
- W4379446011 hasConcept C121332964 @default.
- W4379446011 hasConcept C1276947 @default.
- W4379446011 hasConcept C134306372 @default.
- W4379446011 hasConcept C158622935 @default.
- W4379446011 hasConcept C202444582 @default.
- W4379446011 hasConcept C204575570 @default.
- W4379446011 hasConcept C2781349735 @default.
- W4379446011 hasConcept C33923547 @default.
- W4379446011 hasConcept C40636538 @default.
- W4379446011 hasConcept C43711488 @default.
- W4379446011 hasConcept C62354387 @default.
- W4379446011 hasConcept C62520636 @default.
- W4379446011 hasConcept C90119067 @default.
- W4379446011 hasConcept C97519476 @default.
- W4379446011 hasConceptScore W4379446011C116858840 @default.
- W4379446011 hasConceptScore W4379446011C118615104 @default.
- W4379446011 hasConceptScore W4379446011C121332964 @default.
- W4379446011 hasConceptScore W4379446011C1276947 @default.
- W4379446011 hasConceptScore W4379446011C134306372 @default.
- W4379446011 hasConceptScore W4379446011C158622935 @default.
- W4379446011 hasConceptScore W4379446011C202444582 @default.
- W4379446011 hasConceptScore W4379446011C204575570 @default.
- W4379446011 hasConceptScore W4379446011C2781349735 @default.
- W4379446011 hasConceptScore W4379446011C33923547 @default.
- W4379446011 hasConceptScore W4379446011C40636538 @default.
- W4379446011 hasConceptScore W4379446011C43711488 @default.
- W4379446011 hasConceptScore W4379446011C62354387 @default.
- W4379446011 hasConceptScore W4379446011C62520636 @default.
- W4379446011 hasConceptScore W4379446011C90119067 @default.
- W4379446011 hasConceptScore W4379446011C97519476 @default.
- W4379446011 hasLocation W43794460111 @default.
- W4379446011 hasOpenAccess W4379446011 @default.
- W4379446011 hasPrimaryLocation W43794460111 @default.
- W4379446011 hasRelatedWork W1483265251 @default.
- W4379446011 hasRelatedWork W1885836294 @default.
- W4379446011 hasRelatedWork W190510037 @default.
- W4379446011 hasRelatedWork W2036268698 @default.
- W4379446011 hasRelatedWork W2049186872 @default.
- W4379446011 hasRelatedWork W2071709946 @default.
- W4379446011 hasRelatedWork W2083416720 @default.
- W4379446011 hasRelatedWork W2951373660 @default.
- W4379446011 hasRelatedWork W3015445645 @default.
- W4379446011 hasRelatedWork W3048705070 @default.
- W4379446011 isParatext "false" @default.
- W4379446011 isRetracted "false" @default.
- W4379446011 workType "article" @default.