Results 21 to 30 of about 65,125 (273)
Hausdorff dimensions for SLE6 [PDF]
The Annals of Probability, 2004 We prove that the Hausdorff dimension of the trace of SLE_6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler-Schramm-Werner) that the dimension of its boundary is 4/3. We also prove that, for all <8, the SLE_ trace has cut-points.
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Dimensions and singular traces for spectral triples, with applications to fractals [PDF]
, 1992 Given a spectral triple (A,D,H), the functionals on A of the form a -> tau_omega(a|D|^(-t)) are studied, where tau_omega is a singular trace, and omega is a generalised limit.
Guido, Daniele, Isola, Tommaso
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Hausdorff dimension of singular vectors [PDF]
Duke Mathematical Journal, 2016 We prove that the set of singular vectors in Rd, d≥2, has Hausdorff dimension d2d+1 and that the Hausdorff dimension of the set of ε-Dirichlet improvable vectors in Rd is roughly d2d+1 plus a power of ε between d2 and d. As a corollary, the set of divergent trajectories of the flow by diag(et,…,et,e−dt) acting on SLd+1(R)/SLd+1(Z) has Hausdorff ...
Cheung, Yitwah, Chevallier, Nicolas
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Physically based method for determining the Hausdorff’s topological dimension of capillary-porous media [PDF]
BIO Web of ConferencesThe soil structure the solid phase and pore space of the soils are a set of self-similar parts of each other at different levels ( for example, on level aggregates, micro-aggregates or elementary particles of soil).
Moiseev Kirill +3 more
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On the construction, properties and Hausdorff dimension of random Cantor one pth set
AIMS Mathematics, 2020 In 1883, German Mathematician George Cantor introduced Cantor ternary set which is a self-similar fractal. K. J. Falconer (1990) defined random Cantor set with statistical self-similarity.
Sudesh Kumari +3 more
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On the Hausdorff dimension of the mather quotient [PDF]
Communications on Pure and Applied Mathematics, 2008 AbstractUnder appropriate assumptions on the dimension of the ambient manifold and the regularity of the Hamiltonian, we show that the Mather quotient is small in term of the Hausdorff dimension. Then we present applications in dynamics. © 2008 Wiley Periodicals, Inc.
Fathi, Albert +2 more
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Topics in Cognitive Science, EarlyView., 2023 Abstract Representational drift is a phenomenon of increasing interest in the cognitive and neural sciences. While investigations are ongoing for other sensory cortices, recent research has demonstrated the pervasiveness in which it occurs in the piriform cortex for olfaction.
Ann‐Sophie Barwich +1 more
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International Journal of Mathematics and Mathematical Sciences, 1995 We define the coordinate d-dimension print to distinguish sets of same fractal dimension, and investigate its geometrical properties.
Hung Hwan Lee, In Soo Baek
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Hausdorff Dimension in Stochastic Dispersion [PDF]
Journal of Statistical Physics, 2002 26 ...
Vadim Kaloshin +2 more
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Holomorphic functions and Hausdorff dimension [PDF]
Arkiv för Matematik, 1967 Victor L. Shapiro
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