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Weierstrass fractal drums. II: Towards a fractal cohomology - MaRDI portal

Weierstrass fractal drums. II: Towards a fractal cohomology

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Publication:6623319

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DOI10.1007/s00209-024-03547-zMaRDI QIDQ6623319

Michel L. Lapidus, Claire David

Publication date: 23 October 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

cohomology groups topological invariants Poincaré duality discrete differential operators Minkowski dimension differentials Weierstrass curve fractal cohomology cohomology infinitesimal complex dimensions of a fractal drum discrete reverse-Hölder continuity fractal complex fractal expansions graph and polygonal prefractal approximations sharper Hölder exponent

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Length, area, volume, other geometric measure theory (28A75) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Fractals (28A80) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Singular homology and cohomology theory (55N10) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Discrete differential geometry (53A70)

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