Search Results - "Complex Dimensions of an IFD"
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Source: Asymptotic Analysis. 145:1447-1465
Subject Terms: fractal tube formula, prefractal approximations, box-counting (or Minkowski) dimension, effective local and global tube zeta function, effective local and global distance zeta function, [MATH] Mathematics [math], 28A80 Koch Curve, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], MSC Classification: 11M41, Complex Dimensions of an IFD, MSC Classification: 11M41 28A12 28A75 28A80 Koch Curve prefractal approximations iterated fractal drum (IFD) Complex Dimensions of an IFD box-counting (or Minkowski) dimension fractal tube formula effective local and global tube zeta function effective local and global distance zeta function, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], 28A75, 28A12, iterated fractal drum (IFD), [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]
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Source: Asymptotic Analysis.
Subject Terms: box-counting (or Minkowski) dimension, Poincaré duality, cohomology infinitesimal, polyhedral measure, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [MATH] Mathematics [math], [MATH.MATH-AT] Mathematics [math]/Algebraic Topology [math.AT], prefractal cohomology, Hölder-Zymund spaces, intrinsic scale, fractal transfer (or Frobenius) operator, fractal cohomology, pseudodifferential operators, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], fractal zeta functions, Hodge decomposition, cohomological vertex integers, Lefschetz operator, 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 Poincaré duality polyhedral measure prefractal cohomology fractal cohomology Lefschetz operator fractal transfer (or Frobenius) operator Hodge decomposition pseudodifferential operators cohomological vertex integers fractal Laplacian Hölder-Zymund spaces Besov spaces, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], 28A75-28A80-35R02-57Q70 Weierstrass Curve, fractal Laplacian, Complex Dimensions of an IFD, Besov spaces, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], iterated fractal drum (IFD)
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Access URL: https://hal.science/hal-04931580v2
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Source: The Ramanujan Journal. 67
Subject Terms: tubular neighborhoods, polyhedral (or polygonal) neighborhoods, Complex Dimensions of an IFD, box-counting (or Minkowski) dimension, intrinsic scale, cohomology infinitesimal, polyhedral measure, Hodge Diamond Star relation, Weierstrass Curve, iterated fractal drum (IFD), [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], fractal zeta functions, effective local and global polyhedral zeta functions
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Access URL: https://hal.science/hal-04153049v7
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Subject Terms: 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]
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Source: ISSN: 0921-7134.
Subject Terms: MSC Classification: 11M41 28A12 28A75 28A80 Koch Curve prefractal approximations iterated fractal drum (IFD) Complex Dimensions of an IFD box-counting (or Minkowski) dimension fractal tube formula effective local and global tube zeta function effective local and global distance zeta function, MSC Classification: 11M41, 28A12, 28A75, 28A80 Koch Curve, prefractal approximations, iterated fractal drum (IFD), Complex Dimensions of an IFD, box-counting (or Minkowski) dimension, fractal tube formula, effective local and global tube zeta function, effective local and global distance zeta function, [MATH]Mathematics [math], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
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Source: https://hal.sorbonne-universite.fr/hal-03946104 ; 2024.
Subject Terms: iterated fractal drum (IFD), Complex Dimensions of an IFD, boxcounting (or Minkowski) dimension, cohomology infinitesimal, polyhedral measure, atomic decomposition, trace theorems, order of the fractal Laplacian, fractal Morse theory, fractal Morse indexes, MSC Classification: 28A75-28A80-35R02-57Q70, [MATH]Mathematics [math]
Relation: hal-03946104; https://hal.sorbonne-universite.fr/hal-03946104; https://hal.sorbonne-universite.fr/hal-03946104v3/document; https://hal.sorbonne-universite.fr/hal-03946104v3/file/WFractalDrumsIII.pdf
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Source: https://hal.sorbonne-universite.fr/hal-03946104 ; 2023.
Subject Terms: MSC Classification: 28A75-28A80-35R02-57Q70 Weierstrass Curve iterated fractal drum (IFD) Complex Dimensions of an IFD boxcounting (or Minkowski) dimension cohomology infinitesimal polyhedral measure atomic decomposition trace theorems order of the fractal Laplacian fractal Morse theory fractal Morse indexes, MSC Classification: 28A75-28A80-35R02-57Q70 Weierstrass Curve, iterated fractal drum (IFD), Complex Dimensions of an IFD, boxcounting (or Minkowski) dimension, cohomology infinitesimal, polyhedral measure, atomic decomposition, trace theorems, order of the fractal Laplacian, fractal Morse theory, fractal Morse indexes, [MATH]Mathematics [math]
Relation: hal-03946104; https://hal.sorbonne-universite.fr/hal-03946104; https://hal.sorbonne-universite.fr/hal-03946104/document; https://hal.sorbonne-universite.fr/hal-03946104/file/WFractalDrumsIII.pdf
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Source: Ramanujan Journal (The) ; https://hal.science/hal-04153049 ; Ramanujan Journal (The), In press
Subject Terms: Weierstrass Curve, iterated fractal drum (IFD), fractal zeta functions, box-counting (or Minkowski) dimension, cohomology infinitesimal, intrinsic scale, Hodge Diamond Star relation, polyhedral measure, tubular neighborhoods, polyhedral (or polygonal) neighborhoods, effective local and global polyhedral zeta functions, Complex Dimensions of an IFD, MSC: 28A75, 28A80, 35R02, 57Q70, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
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