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DR TREVOR CLARK
ERC Postdoc
Phone: +44(207)59-41534
Room: 6M22 Huxley Building
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I am a Research Associate in the Department of Mathematics at Imperial College London.
Research Interests
One-dimensional dynamical systems. Specifically, aspects of dynamical systems related to the study of the typical dynamics in families of mappings, rigidity and renormalization.
Publications and preprints
- Hyperbolicity of renormalization for dissipative gap mappings (with M. Gouveia), arXiv:1907.07630 [math.DS], 42 pages.
- The boundary of chaos for interval mappings (with S. Trejo), arXiv:1903.06556 [math.DS], 41 pages.
- Quasisymmetric rigidity in one-dimensional dynamics (with S. van Strien), arXiv:1805.09284 [math.DS], 143 pages.
- Dynamics of asymptotically holomorphic polynomial-like maps (with E. de Faria and S. van Strien), arXiv:1804.06122 [math.DS], 47 pages.
- Complex bounds for real maps (with S. van Strien and S. Trejo),
Comm. Math. Phys. 355 (2017), no. 3, 1001-1119. Preprint
- Regular or stochastic dynamics in families of higher degree unimodal maps. Ergodic Theory Dynam. Systems, 34 (2014), no. 5, 1538-1566.
In preparation
- Conjugacy classes of one-dimensional maps (with S. van Strien)
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