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From Weierstrass to Riemann: The Frobenius Pass When Fractal Flows come into Play with Zeta Functions

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Název: From Weierstrass to Riemann: The Frobenius Pass When Fractal Flows come into Play with Zeta Functions
Autoři: David, Claire, Lapidus, Michel
Přispěvatelé: David, Claire, John Friedlander, Carl Pomerance, and Michael Th. Rassias
Informace o vydavateli: Array, 2024.
Rok vydání: 2024
Témata: effective local and global polyhedral zeta functions, box-counting (or Minkowski) dimension, Poincaré duality, transfer operator, cohomology infinitesimal, polyhedral measure, Hodge Diamond Star relation, Complex Dimensions, [MATH] Mathematics [math], [MATH.MATH-AT] Mathematics [math]/Algebraic Topology [math.AT], prefractal cohomology, intrinsic scale, fractal cohomology, functional equation, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], MSC Classification: 28A75-28A80-35R02-57Q70 Weierstrass Curve, fractal zeta functions, Hodge decomposition, Lefschetz operator, Toda-like system, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Frobenius operator, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Complex Dimensions of an IFD, polyhedral (or polygonal) neighborhoods, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], fractal flow, iterated fractal drum (IFD), MSC Classification: 28A75-28A80-35R02-57Q70 Weierstrass Curve iterated fractal drum (IFD) fractal zeta functions Complex Dimensions of an IFD box-counting (or Minkowski) dimension cohomology infinitesimal intrinsic scale Toda-like system Hodge Diamond Star relation Poincaré duality polyhedral measure polyhedral (or polygonal) neighborhoods effective local and global polyhedral zeta functions prefractal cohomology fractal cohomology transfer operator Lefschetz operator Hodge decomposition functional equation dual zeta function and Weierstrass Curve fractal flow Frobenius operator Complex Dimensions, dual zeta function and Weierstrass Curve, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Druh dokumentu: Part of book or chapter of book
Popis souboru: application/pdf
Jazyk: English
Přístupová URL adresa: https://hal.sorbonne-universite.fr/hal-04614665v3
Přístupové číslo: edsair.dedup.wf.002..e65e9eeac4cc80ac7d1db659bdd68bcc
Databáze: OpenAIRE
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