Zobrazeno 1 - 10
of 251
pro vyhledávání: '"Clark, Trevor A."'
Autor:
Clark, Trevor, van Strien, Sebastian
An important question is to describe topological conjugacy classes of dynamical systems. Here we show that within the space of real analytic one-dimensional maps with critical points of prescribed order, the conjugacy class of a map is a real analyti
Externí odkaz:
http://arxiv.org/abs/2304.00883
Autor:
Clark, Trevor A.1 (AUTHOR) trevorclark89@gmail.com
Publikováno v:
Religions. May2024, Vol. 15 Issue 5, p590. 15p.
Publikováno v:
In Journal of the Neurological Sciences 15 May 2024 460
In holomorphic dynamics, complex box mappings arise as first return maps to well-chosen domains. They are a generalization of polynomial-like mapping, where the domain of the return map can have infinitely many components. They turned out to be extre
Externí odkaz:
http://arxiv.org/abs/2105.08654
Autor:
Dennett, Cody A., Dacus, Benjamin R., Barr, Christopher M., Clark, Trevor, Bei, Hongbin, Zhang, Yanwen, Short, Michael P., Hattar, Khalid
Defects and microstructural features spanning the atomic level to the microscale play deterministic roles in the expressed properties of materials. Yet studies of material evolution in response to environmental stimuli most often correlate resulting
Externí odkaz:
http://arxiv.org/abs/2104.14576
Autor:
Clark, Trevor, Gouveia, Márcio
A gap mapping is a discontinuous interval mapping with two strictly increasing branches that have a gap between their ranges. They are one-dimensional dynamical systems, which arise in the study of certain higher dimensional flows, for example the Lo
Externí odkaz:
http://arxiv.org/abs/1907.07630
Autor:
Clark, Trevor, Trejo, Sofía
A goal in the study of dynamics on the interval is to understand the transition to positive topological entropy. There is a conjecture from the 1980's that the only route to positive topological entropy is through a cascade of period doubling bifurca
Externí odkaz:
http://arxiv.org/abs/1903.06556
Autor:
Clark, Trevor, van Strien, Sebastian
In the late 1980's Sullivan initiated a programme to prove quasisymmetric rigidity in one-dimensional dynamics: interval or circle maps that are topologically conjugate are quasisymmetrically conjugate (provided some obvious necessary assumptions are
Externí odkaz:
http://arxiv.org/abs/1805.09284
The purpose of this paper is to initiate a theory concerning the dynamics of asymptotically holomorphic polynomial-like maps. Our maps arise naturally as deep renormalizations of asymptotically holomorphic extensions of $C^r$ ($r>3$) unimodal maps th
Externí odkaz:
http://arxiv.org/abs/1804.06122
Autor:
Clark, Trevor1,2 (AUTHOR), Jung, Jae Yup3 (AUTHOR) jae.jung@unsw.edu.au, Roberts, Jacqueline4 (AUTHOR), Robinson, Ainslie1 (AUTHOR), Howlin, Patricia5 (AUTHOR)
Publikováno v:
Journal of Applied Research in Intellectual Disabilities. Sep2023, Vol. 36 Issue 5, p1034-1045. 12p.