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Longer titles found: List of fractals by Hausdorff dimension (view)

searching for Hausdorff dimension 26 found (168 total)

Schottky group (1,206 words) [view diff] exact match in snippet view article find links to article

finitely generated classical Schottky groups have limit sets of Hausdorff dimension bounded above strictly by a universal constant less than 2. Conversely

Mosely snowflake (199 words) [view diff] exact match in snippet view article find links to article

resembles the original water snowflake of snow. By construction the Hausdorff dimension of the lighter snowflake is dH=log3⁡(27−9)=ln⁡18/ln⁡3≈2.630929{\displaystyle

Beth number (1,444 words) [view diff] case mismatch in snippet view article find links to article

3390/math11173715. Soltanifar, Mohsen (2021). "A Generalization of the Hausdorff Dimension Theorem for Deterministic Fractals". Mathematics. 9 (13): 1546. arXiv:2007

Jack Lutz (437 words) [view diff] exact match in snippet view article find links to article

resource-bounded measure theory Reimann, Jan; Stephan, Frank (2005). "Effective Hausdorff dimension". In Baaz, Matthias; Friedman, Sy-David; Krajíček, Jan (eds.). Logic

Pekka Tukia (535 words) [view diff] exact match in snippet view article find links to article

149–160. doi:10.5186/aasfm.1981.0625. Tukia, Pekka (1984). "The Hausdorff dimension of the limit set of a geometrically finite Kleinian groups". Acta

Hölder condition (2,240 words) [view diff] exact match in snippet view article find links to article

has Hausdorff dimension at most dimH⁡(U)α{\displaystyle {\tfrac {\dim _{H}(U)}{\alpha }}}, where dimH⁡(U){\displaystyle \dim _{H}(U)} is the Hausdorff dimension

Autonomous convergence theorem (580 words) [view diff] exact match in snippet view article find links to article

containing an invariant manifold. Russell A. Smith, "Some applications of Hausdorff dimension inequalities for ordinary differential equations", Proceedings of

Eden's conjecture (522 words) [view diff] exact match in snippet view article find links to article

Eden, A. (1989). "Local Lyapunov exponents and a local estimate of Hausdorff dimension". Modélisation Mathématique et Analyse Numérique. 23 (3): 405–413

Antoine's necklace (616 words) [view diff] exact match in snippet view article find links to article

In fact, there is no homeomorphism of R3 sending A to a set of Hausdorff dimension < 1, since the complement of such a set must be simply-connected

Anna Zdunik (418 words) [view diff] exact match in snippet view article find links to article

1991 Urbański, Mariusz; Zdunik, Anna (2004). "Real analyticity of Hausdorff dimension of finer Julia sets of exponential family". Ergodic Theory and Dynamical

Rufus Bowen (1,009 words) [view diff] case mismatch in snippet view article find links to article

Sciences (Providence, 1978), 45 pp. ISBN 0-8218-1685-3. Bowen: "Hausdorff Dimension of Quasi-circles", Publications Mathématiques de l'IHÉS, no. 50 (1979)

Harmonic measure (1,737 words) [view diff] exact match in snippet view article find links to article

doi:10.1007/BF00280445. S2CID 120614580. P. Jones and T. Wolff, Hausdorff dimension of Harmonic Measure in the plane, Acta. Math. 161 (1988) 131-144

Alan Frank Beardon (214 words) [view diff] exact match in snippet view article find links to article

Algebraic Geometry Institutions University of Cambridge Thesis On the Hausdorff dimension of certain sets (PhD, 1964) Doctoral advisor Walter Kurt Hayman

Helena Nussenzveig Lopes (430 words) [view diff] case mismatch in snippet view article find links to article

California, Berkeley in 1991. Her dissertation, An Estimate of the Hausdorff Dimension of a Concentration Set for the 2D Incompressible Euler Equations

List of probabilistic proofs of non-probabilistic theorems (1,835 words) [view diff] exact match in snippet view article find links to article

(1951). "On singular monotonic functions whose spectrum has a given Hausdorff dimension". Ark. Mat. 1 (4): 353–365. Bibcode:1951ArM.....1..353S. doi:10.1007/bf02591372

John Smillie (mathematician) (861 words) [view diff] case mismatch in snippet view article

(4): 657–679. JSTOR 2939284. Masur, Howard; Smillie, John (1991). "Hausdorff Dimension of Sets of Nonergodic Measured Foliations". Annals of Mathematics

Christopher J. Bishop (849 words) [view diff] exact match in snippet view article find links to article

S2CID 253641940. Bishop, Christopher J.; Jones, Peter (November 1990). "Hausdorff dimension and Kleinian groups". Acta Mathematica. 179 (1): 1–39. arXiv:math/9403222

Roger D. Nussbaum (711 words) [view diff] exact match in snippet view article find links to article

Priyadarshi, Amit; Verduyn Lunel, Sjoerd (2012). "Positive operators and Hausdorff dimension of invariant sets". Transactions of the American Mathematical Society

Pertti Mattila (546 words) [view diff] case mismatch in snippet view article find links to article

Scholarpedia". Das, Tushar (3 July 2017). "Review of Fourier Analysis and Hausdorff Dimension by Pertti Mattila". MAA Reviews, Mathematical Association of America

Complex network zeta function (1,981 words) [view diff] exact match in snippet view article find links to article

on a strong mathematical foundation, similar to the definition of Hausdorff dimension for continuous systems. The mathematically robust definition uses

Jacob Palis (1,111 words) [view diff] case mismatch in snippet view article find links to article

1990 (103–168). "Homoclinic Tangencies for Hyperbolic Sets of Large Hausdorff Dimension", with J. C. Yoccoz, Acta Mathematica 172, 1994, pp. 91–136. High

Ronald DiPerna (729 words) [view diff] exact match in snippet view article find links to article

doi:10.1002/cpa.3160400304. DiPerna, R.; Majda, A. (1988). "Reduced Hausdorff dimension and concentration-cancellation for two-dimensional incompressible

Shen Weixiao (758 words) [view diff] exact match in snippet view article find links to article

doi:10.24033/asens.2233. S2CID 204938726. Shen, Weixiao (2018). "Hausdorff dimension of the graphs of the classical Weierstrass functions". Mathematische

Shen Weixiao (758 words) [view diff] exact match in snippet view article find links to article

doi:10.24033/asens.2233. S2CID 204938726. Shen, Weixiao (2018). "Hausdorff dimension of the graphs of the classical Weierstrass functions". Mathematische

Causal sets (5,337 words) [view diff] exact match in snippet view article find links to article

(Dimension theory) D.A. Meyer, The Dimension of Causal Sets II: Hausdorff dimension, Syracuse University preprint (1988); (Dimension theory) D.A. Meyer

Schwarz triangle (10,739 words) [view diff] exact match in snippet view article find links to article

1016/0021-8693(82)90318-0. MR 0679972. McMullen, Curtis T. (1998), "Hausdorff dimension and conformal dynamics. III. Computation of dimension", American