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Effective rigidity away from the boundary for centrally symmetric billiards
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 Published online by Cambridge University Press: 28 September 2023, pp. 116

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An elementary proof that the Rauzy gasket is fractal
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 Published online by Cambridge University Press: 25 September 2023, pp. 110

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On the quasiergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape
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 Published online by Cambridge University Press: 25 September 2023, pp. 138

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Pointwise convergence in nilmanifolds along smooth functions of polynomial growth
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 Published online by Cambridge University Press: 25 September 2023, pp. 146

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Measuretheoretic sequence entropy pairs and mean sensitivity
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 Published online by Cambridge University Press: 19 September 2023, pp. 110

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Spectral cocycle for substitution tilings
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 Published online by Cambridge University Press: 18 September 2023, pp. 144

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Strongly mixing systems are almost strongly mixing of all orders
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 Published online by Cambridge University Press: 13 September 2023, pp. 142

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A set of 2recurrence whose perfect squares do not form a set of measurable recurrence
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 Published online by Cambridge University Press: 04 September 2023, pp. 140

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Corrigendum
A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems – CORRIGENDUM
 Published online by Cambridge University Press: 01 September 2023, pp. 15

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Original Article
Disjoint hypercyclicity, Sidon sets and weakly mixing operators
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 Published online by Cambridge University Press: 22 August 2023, pp. 115

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Conditional mixing in deterministic chaos
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 Published online by Cambridge University Press: 18 August 2023, pp. 131

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Tame or wild Toeplitz shifts
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 Published online by Cambridge University Press: 18 August 2023, pp. 139

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$\times a$ and $\times b$ empirical measures, the irregular set and entropy
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 Published online by Cambridge University Press: 15 August 2023, pp. 120

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On the dimension of stationary measures for random piecewise affine interval homeomorphisms
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 Published online by Cambridge University Press: 04 August 2023, pp. 116

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Sharp constants in inequalities admitting the Calderón transference principle
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 Published online by Cambridge University Press: 04 August 2023, pp. 112

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Encoding subshifts through sliding block codes
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 Published online by Cambridge University Press: 03 August 2023, pp. 120

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Orbits closeness for slowly mixing dynamical systems
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 Published online by Cambridge University Press: 24 July 2023, pp. 117

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Continuum of allosteric actions for nonamenable surface groups
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 Published online by Cambridge University Press: 19 July 2023, pp. 116

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Hausdorff dimension of multidimensional multiplicative subshifts
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 Published online by Cambridge University Press: 19 July 2023, pp. 130

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Statistical aspects of mean field coupled intermittent maps
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 Published online by Cambridge University Press: 19 July 2023, pp. 113

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