Spectral properties of the Ruelle operator for product-type potentials on shift spaces

Cioletti L.; Denker M.; Lopes A. O.; Stadlbauer M.

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Spectral properties of the Ruelle operator for product-type potentials on shift spaces

机译：Ruelle运算符的频谱属性，用于换档空间上的产品类型电位

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We study a class of potentials f on one-sided full shift spaces over finite or countable alphabets, called potentials of product type. We obtain explicit formulae for the leading eigenvalue, the eigenfunction (which may be discontinuous) and the eigenmeasure of the Ruelle operator. The uniqueness property of these quantities is also discussed, and it is shown that there always exists a Bernoulli equilibrium state even if f does not satisfy Bowen's condition.

机译：我们在有限或可数字母表上研究一类在单面全移位空间上的潜在F，称为产品类型的电位。我们获得了前瞻性范围的明确公式，特征函数（可能是不连续的）和Ruelle运营商的特征措施。还讨论了这些数量的唯一性性质，结果表明，即使F不满足Bowen的状况，也存在伯努利均衡状态。

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《The Journal of the London Mathematical Society》 |2017年第2期|共21页
作者
Cioletti L.; Denker M.; Lopes A. O.; Stadlbauer M.;
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作者单位

Univ Brasilia Dept Matemat Campus Univ Darcy Ribeiro BR-70910900 Brasilia DF Brazil;

Penn State Univ Dept Math University Pk PA 16802 USA;

Univ Fed Rio Grande do Sul Dept Matemat Pura &

Aplicada Ave Bento Gonalves 9500 BR-91509900 Porto Alegre RS Brazil;

Univ Fed Rio de Janeiro Inst Matemat POB 68530 BR-21941909 Rio De Janeiro RJ Brazil;

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正文语种 eng
中图分类数学;
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1. Spectral properties of the Ruelle operator for product-type potentials on shift spaces [J] . Cioletti L., Denker M., Lopes A. O., The Journal of the London Mathematical Society . 2017,第Pta2期

机译：Ruelle运算符的频谱属性，用于换档空间上的产品类型电位
2. Spectral Gap and Transience for Ruelle Operators on Countable Markov Shifts [J] . Cyr V, Sarig O Communications in Mathematical Physics . 2009,第3期

机译：可数马尔可夫频移上Ruelle算子的谱隙和瞬态
3. Spectral Gap and Transience for Ruelle Operators on Countable Markov Shifts [J] . Van Cyr, Omri Sarig Communications in Mathematical Physics . 2009,第3期

机译：可数马尔可夫频移上Ruelle算子的谱隙和瞬态
4. On spectral properties of weighted shift operators generated by mappings with saddle points in L_p [C] . Justyna Makowska Workshop on Geometrical Methods in Physics . 2008

机译：关于L_P鞍座点生成的加权移位运算符的光谱特性
5. Invariant subspace problem and spectral properties of bounded linear operators on Banach spaces, Banach lattices, and topological vector spaces [D] . Troitsky, Vladimir G. 1999

机译：Banach空间，Banach格和拓扑矢量空间上有界线性算子的不变子空间问题和谱性质
6. On a product-type operator between Hardy and α-Bloch spaces of the upper half-plane [O] . Stevo Stević, Ajay K. Sharma -1

机译：关于上半平面的Hardy空间和α-Bloch空间之间的乘积型算子
7. Spectral Properties of the Ruelle Operator for Product Type Potentials on Shift Spaces [O] . Cioletti, L., Denker, M., Lopes, A. O., 2017

机译：产品型势的Ruelle算子的谱特性在shift空间

Spectral properties of the Ruelle operator for product-type potentials on shift spaces

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