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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.
doi: 10.1017/S0143385700002133. |
[2] |
M. Boyle and T. Downarowicz, The entropy theory of symbolic extensions,, Invent. Math., 156 (2004), 119.
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.
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.
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.
doi: 10.1017/S014338570100150X. |
[6] |
T. Downarowicz, Entropy structure,, J. Anal. Math., 96 (2005), 57.
doi: 10.1007/BF02787825. |
[7] |
T. Downarowicz, Minimal models for noninvertible and not uniquely ergodic systems,, Israel J. Math., 156 (2006), 93.
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.
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.
doi: 10.1007/s00222-004-0413-0. |
[11] |
E. Lindenstrauss, Lowering topological entropy,, J. Anal. Math., 67 (1995), 231.
doi: 10.1007/BF02787792. |
[12] |
J. Serafin, Universally finitary symbolic extensions,, Fund. Math., 206 (2009), 281.
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.
doi: 10.1017/S0143385700002133. |
[2] |
M. Boyle and T. Downarowicz, The entropy theory of symbolic extensions,, Invent. Math., 156 (2004), 119.
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.
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.
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.
doi: 10.1017/S014338570100150X. |
[6] |
T. Downarowicz, Entropy structure,, J. Anal. Math., 96 (2005), 57.
doi: 10.1007/BF02787825. |
[7] |
T. Downarowicz, Minimal models for noninvertible and not uniquely ergodic systems,, Israel J. Math., 156 (2006), 93.
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.
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.
doi: 10.1007/s00222-004-0413-0. |
[11] |
E. Lindenstrauss, Lowering topological entropy,, J. Anal. Math., 67 (1995), 231.
doi: 10.1007/BF02787792. |
[12] |
J. Serafin, Universally finitary symbolic extensions,, Fund. Math., 206 (2009), 281.
doi: 10.4064/fm206-0-16. |
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