Results 21 to 30 of about 4,856 (110)
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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Advanced Materials, Volume 38, Issue 15, 12 March 2026.Schematic showing the leveraging of topology optimization, the printing of a tailored eutectic gallium‐indium liquid alloy electrode, and porous ceramic engineering to simultaneously enhance mechanical durability, stretchability, and sensing sensitivity to produce a highly deformable and stretchable sensor capable of monitoring complex and anisotropic ...
Hanmin Zeng +10 more
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A "metric" complexity for weakly chaotic systems
, 2006 We consider the number of Bowen sets which are necessary to cover a large measure subset of the phase space. This introduce some complexity indicator characterizing different kind of (weakly) chaotic dynamics.
Afraimovich V. +8 more
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Brain and Behavior, Volume 16, Issue 3, March 2026.This study investigated the neural mechanisms underlying the shooting preparation phase in 30 shooters across three task conditions, with concurrent collection of shooting performance metrics and self‐report measures. The findings revealed that during high‐pressure shooting tasks (Hostage‐Rescue and Long‐Range), shooters experienced significantly ...
Xinyu Shi +7 more
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On the distribution of periodic orbits
, 2009 Let $f:M\to M$ be a $C^{1+\epsilon}$-map on a smooth Riemannian manifold $M$ and let $\Lambda\subset M$ be a compact $f$-invariant locally maximal set.
Gelfert, Katrin, Wolf, Christian
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Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
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Weak mixing suspension flows over shifts of finite type are universal [PDF]
, 2012 Let S be an ergodic measure-preserving automorphism on a non-atomic probability space, and let T be the time-one map of a topologically weak mixing suspension flow over an irreducible subshift of finite type under a Holder ceiling function.
Quas, Anthony, Soo, Terry
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Generic points in systems of specification and Banach valued Birkhoff ergodic average
, 2008 We prove that systems satisfying the specification property are saturated in the sense that the topological entropy of the set of generic points of any invariant measure is equal to the measure-theoretic entropy of the measure.
Fan, Ai-Hua +2 more
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Water Resources Research, Volume 62, Issue 1, January 2026.Abstract Understanding two‐phase flow in laminated sandstones is important for fluid migration control and operational strategy determination in underground energy and hydrology engineering projects. Digital core analysis provides unparalleled understanding of two‐phase flow in complex porous media, but the integration into field analytical workflow is
Han Jiang +4 more
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The relative variational principle by Ledrappier and Walters: A survey
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract Ledrappier and Walters's article “A Relativised Variational Principle for Continuous Transformations”, J. Lond. Math. Soc. (2) 16 (1977), no. 3, 568–576) is a landmark in the development of thermodynamic formalism. This survey, aimed at newcomers to the field and experts in adjacent fields discusses the background, the Ledrappier–Walters ...
Anthony Quas
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