Results 101 to 110 of about 23,064 (196)
Hausdorff dimension of double‐base expansions and binary shifts with a hole
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract For two real bases q0,q1>1$q_0, q_1 > 1$, a binary sequence i1i2⋯∈{0,1}∞$i_1 i_2 \cdots \in \lbrace 0,1\rbrace ^\infty$ is the (q0,q1)$(q_0,q_1)$‐expansion of the number πq0,q1(i1i2⋯)=∑k=1∞ikqi1⋯qik.$$\begin{equation*} \pi _{q_0,q_1}(i_1 i_2 \cdots) = \sum _{k=1}^\infty \frac{i_k}{q_{i_1} \cdots q_{i_k}}.
Jian Lu, Wolfgang Steiner, Yuru Zou
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Coboundaries of nonconventional ergodic averages
, 2018 Results obtained during the 2017 ETDS workshop UNC-CH and presented during the 2018 UNC-CH ETDS ...
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On the Fourier transform of random Bernoulli convolutions
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We investigate random Bernoulli convolutions, namely, probability measures given by the infinite convolution where ω=(λk)$\omega =(\lambda _k)$ is a sequence of i.i.d. random variables each following the uniform distribution on some fixed interval. We study the regularity of these measures and prove that when expElogλ1>2π$\exp \mathbb {E}\left(
Simon Baker +3 more
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Graphical small cancellation and hyperfiniteness of boundary actions
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We study actions of (infinitely presented) graphical small cancellation groups on the Gromov boundaries of their coned‐off Cayley graphs. We show that a class of graphical small cancellation groups, including (infinitely presented) classical small cancellation groups, admit hyperfinite boundary actions, more precisely, the orbit equivalence ...
Chris Karpinski +2 more
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Universal gap growth for Lyapunov exponents of perturbed matrix products
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We study the quantitative simplicity of the Lyapunov spectrum of d$d$‐dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we establish explicit lower bounds on the gaps between consecutive Lyapunov exponents of the perturbed cocycle, depending only on the scale of the perturbation.
Jason Atnip +3 more
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Exact local distribution of the absolutely continuous spectral measure
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract It is well‐established that the spectral measure for one‐frequency Schrödinger operators with Diophantine frequencies exhibits optimal 1/2$1/2$‐Hölder continuity within the absolutely continuous spectrum (Avila and Jitomirskaya, Commun. Math. Phys. 301 (2011), 563–581).
Xianzhe Li, Jiangong You, Qi Zhou
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, 2019 We study the convergence of the ergodic averages of the integral of the product of 2^k functions and the L^2-convergence of the ergodic averages of the product of 2^k -1 functions, for k = 2, 3. These averages are taken along cubes whose sizes tend to infinity. For each average we show that it is sufficient to prove the convergence for special systems,
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Perturbation of Sparse Ergodic Averages
, 2012 We provide examples of a nested sequences of sets {S_n}, suitably sparse, residing in a group G, for which multidimensional averages fail converge pointwise for f in certain L^p spaces, but do converge in others, for any free group action T. Our construction involves the method of perturbation pioneered by A.
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Ergodic Measure and Potential Control of Anomalous Diffusion. [PDF]
Entropy (Basel), 2023 Wen B, Li MG, Liu J, Bao JD.
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Stochastic geometry analysis of UAV-assisted networks with probabilistic UAV activation. [PDF]
Sci RepSelim MM.
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