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Schauder type estimates of linearized Mullins-Sekerka problem
A faithful symbolic extension
| 1. | Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland |
References:
| [1] |
M. Boyle, Lower entropy factors of sofic systems, Ergodic Theory and Dynam. Systems, 3 (1983), 541-557.
doi: 10.1017/S0143385700002133. |
| [2] |
M. Boyle and T. Downarowicz, The entropy theory of symbolic extensions, Invent. Math., 156 (2004), 119-161.
doi: 10.1007/s00222-003-0335-2. |
| [3] |
M. Boyle, D. Fiebig and U. Fiebig, Residual entropy, conditional entropy and subshift covers, Forum Math., 14 (2002), 713-757.
doi: 10.1515/form.2002.031. |
| [4] |
D. Burguet, Examples of $C^r$ interval maps with large symbolic extension entropy, Discrete Contin. Dyn. Syst., 26 (2010), 873-899.
doi: 10.3934/dcds.2010.26.873. |
| [5] |
T. Downarowicz, Entropy of a symbolic extension of a totally disconnected dynamical system, Ergodic Theory and Dynam. Systems, 21 (2001), 1051-1070.
doi: 10.1017/S014338570100150X. |
| [6] |
T. Downarowicz, Entropy structure, J. Anal. Math., 96 (2005), 57-116.
doi: 10.1007/BF02787825. |
| [7] |
T. Downarowicz, Minimal models for noninvertible and not uniquely ergodic systems, Israel J. Math., 156 (2006), 93-110.
doi: 10.1007/BF02773826. |
| [8] |
T. Downarowicz, "Entropy in Dynamical Systems," New Mathematical Monographs, No. 18, Cambridge University Press, 2011. |
| [9] |
T. Downarowicz and A. Maass, Smooth interval maps have symbolic extensions: the antarctic theorem, Invent. Math., 176 (2009), 617-636.
doi: 10.1007/s00222-008-0172-4. |
| [10] |
T. Downarowicz and S. E. Newhouse, Symbolic extensions and smooth dynamical systems, Invent. Math., 160 (2005), 453-499.
doi: 10.1007/s00222-004-0413-0. |
| [11] |
E. Lindenstrauss, Lowering topological entropy, J. Anal. Math., 67 (1995), 231-267.
doi: 10.1007/BF02787792. |
| [12] |
J. Serafin, Universally finitary symbolic extensions, Fund. Math., 206 (2009), 281-285.
doi: 10.4064/fm206-0-16. |
show all references
References:
| [1] |
M. Boyle, Lower entropy factors of sofic systems, Ergodic Theory and Dynam. Systems, 3 (1983), 541-557.
doi: 10.1017/S0143385700002133. |
| [2] |
M. Boyle and T. Downarowicz, The entropy theory of symbolic extensions, Invent. Math., 156 (2004), 119-161.
doi: 10.1007/s00222-003-0335-2. |
| [3] |
M. Boyle, D. Fiebig and U. Fiebig, Residual entropy, conditional entropy and subshift covers, Forum Math., 14 (2002), 713-757.
doi: 10.1515/form.2002.031. |
| [4] |
D. Burguet, Examples of $C^r$ interval maps with large symbolic extension entropy, Discrete Contin. Dyn. Syst., 26 (2010), 873-899.
doi: 10.3934/dcds.2010.26.873. |
| [5] |
T. Downarowicz, Entropy of a symbolic extension of a totally disconnected dynamical system, Ergodic Theory and Dynam. Systems, 21 (2001), 1051-1070.
doi: 10.1017/S014338570100150X. |
| [6] |
T. Downarowicz, Entropy structure, J. Anal. Math., 96 (2005), 57-116.
doi: 10.1007/BF02787825. |
| [7] |
T. Downarowicz, Minimal models for noninvertible and not uniquely ergodic systems, Israel J. Math., 156 (2006), 93-110.
doi: 10.1007/BF02773826. |
| [8] |
T. Downarowicz, "Entropy in Dynamical Systems," New Mathematical Monographs, No. 18, Cambridge University Press, 2011. |
| [9] |
T. Downarowicz and A. Maass, Smooth interval maps have symbolic extensions: the antarctic theorem, Invent. Math., 176 (2009), 617-636.
doi: 10.1007/s00222-008-0172-4. |
| [10] |
T. Downarowicz and S. E. Newhouse, Symbolic extensions and smooth dynamical systems, Invent. Math., 160 (2005), 453-499.
doi: 10.1007/s00222-004-0413-0. |
| [11] |
E. Lindenstrauss, Lowering topological entropy, J. Anal. Math., 67 (1995), 231-267.
doi: 10.1007/BF02787792. |
| [12] |
J. Serafin, Universally finitary symbolic extensions, Fund. Math., 206 (2009), 281-285.
doi: 10.4064/fm206-0-16. |
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