Research graph
References from The multifractal nature of a parametrized family of von Koch functions. Local targets link to admitted publications; unresolved targets remain external evidence.
The Takagi function: a survey
2011 · External reference
The infinite derivatives of Okamoto's self-affine functions: an application of β-expansions
10.4171/jfg/28 · 2016 · External reference
The pointwise Hölder spectrum of general self-affine functions on an interval
10.1016/j.jmaa.2020.124096 · 2020 · External reference
Unresolved reference
2026 · External reference
On multifractal formalism for self-similar measures with overlaps
10.1007/s00209-020-02622-5 · 2021 · External reference
On the multifractal analysis of measures
10.1007/bf01055700 · 1992 · External reference
Les aspects intuitifs de la mathématique
1944 · External reference
The Frisch-Parisi conjecture I: prescribed multifractal behavior, and a partial solution
10.1016/j.matpur.2023.05.003 · 2023 · External reference
Riemann's non-differentiable function and the binormal curvature flow
10.1007/s00205-022-01769-1 · 2022 · External reference
Note sur les principes fondamentaux de l'analyse
1890 · External reference
Multifractal decompositions of Moran fractals
10.1016/0001-8708(92)90064-r · 1992 · External reference
Mémoire sur les fonctions discontinues
10.24033/asens.122 · 1875 · External reference
Su alcune funzioni che in tutto un intervallo non hanno mai derivata
1877 · External reference
Unresolved reference
1997 · External reference
Fractal geometry
2003 · External reference
Dimension of invariant measures for affine iterated function systems
10.1215/00127094-2022-0014 · 2023 · External reference
Multifractal formalism for self-similar measures with weak separation condition
10.1016/j.matpur.2009.05.009 · 2009 · External reference
Fully developed turbulence and intermittency in turbulence, and predictability in geophysical fluid dynamics and climate dynamics
1985 · External reference
The differentiability of the Riemann function at certain rational multiples of π
10.2307/2373496 · 1969 · External reference
Invariant measures of full dimension for some expanding maps
10.1017/s0143385797060987 · 1997 · External reference
Fractal measures and their singularities: the characterisation of strange sets
10.1103/physreva.33.1141 · 1986 · External reference
On self-similar sets with overlaps and inverse theorems for entropy
10.4007/annals.2014.180.2.7 · 2014 · External reference
Old friends revisited: the multifractal nature of some classical functions
10.1007/bf02647944 · 1997 · External reference
The multifractal nature of Lévy processes
10.1007/s004400050224 · 1999 · External reference
On the Frisch-Parisi conjecture
10.1016/s0021-7824(00)00161-6 · 2000 · External reference
Multifractal analysis of the Brjuno function
10.1007/s00222-017-0763-z · 2018 · External reference
Multifractal measures and a weak separation condition
10.1006/aima.1998.1773 · 1999 · External reference
Graphs of continuous but non-affine functions are never self-similar
2025 · External reference
A remark on continuous, nowhere differentiable functions
10.3792/pjaa.81.47 · 2005 · External reference
A multifractal formalism
10.1006/aima.1995.1066 · 1995 · External reference
The multifractal analysis of Gibbs measures: motivation, mathematical foundation, and examples
1997 · External reference
Traité d'analyse
1922 · External reference
On Furstenberg's intersection conjecture, self-similar measures, and the lq norms of convolutions
10.4007/annals.2019.189.2.1 · 2019 · External reference
Absolute continuity of self-similar measures, their projections and convolutions
10.1090/tran6696 · 2016 · External reference
A simple example of the continuous function without derivative
1903 · External reference
Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire
1904 · External reference
Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes planes
10.1007/bf02418570 · 1906 · External reference
Almost sure multifractal spectrum for the tip of an SLE curve
10.1007/s11511-012-0087-1 · 2012 · External reference
Über continuirliche functionen eines reellen arguments, die für keinen werth des letzteren einen bestimmten differentialquotienten besitzen
1872 · External reference
A multifractal formalism
10.1006/aima.1995.1066 · ExternalCitation · doi-reference
Multifractal measures and a weak separation condition
10.1006/aima.1998.1773 · ExternalCitation · doi-reference
On the multifractal analysis of measures
10.1007/bf01055700 · ExternalCitation · doi-reference
Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes planes
10.1007/bf02418570 · ExternalCitation · doi-reference
Old friends revisited: the multifractal nature of some classical functions
10.1007/bf02647944 · ExternalCitation · doi-reference
Riemann's non-differentiable function and the binormal curvature flow
10.1007/s00205-022-01769-1 · ExternalCitation · doi-reference
On multifractal formalism for self-similar measures with overlaps
10.1007/s00209-020-02622-5 · ExternalCitation · doi-reference
Multifractal analysis of the Brjuno function
10.1007/s00222-017-0763-z · ExternalCitation · doi-reference
The multifractal nature of Lévy processes
10.1007/s004400050224 · ExternalCitation · doi-reference
Almost sure multifractal spectrum for the tip of an SLE curve
10.1007/s11511-012-0087-1 · ExternalCitation · doi-reference
Multifractal decompositions of Moran fractals
10.1016/0001-8708(92)90064-r · ExternalCitation · doi-reference
The pointwise Hölder spectrum of general self-affine functions on an interval
10.1016/j.jmaa.2020.124096 · ExternalCitation · doi-reference
Multifractal formalism for self-similar measures with weak separation condition
10.1016/j.matpur.2009.05.009 · ExternalCitation · doi-reference
The Frisch-Parisi conjecture I: prescribed multifractal behavior, and a partial solution
10.1016/j.matpur.2023.05.003 · ExternalCitation · doi-reference
On the Frisch-Parisi conjecture
10.1016/s0021-7824(00)00161-6 · ExternalCitation · doi-reference
Invariant measures of full dimension for some expanding maps
10.1017/s0143385797060987 · ExternalCitation · doi-reference
Absolute continuity of self-similar measures, their projections and convolutions
10.1090/tran6696 · ExternalCitation · doi-reference
Fractal measures and their singularities: the characterisation of strange sets
10.1103/physreva.33.1141 · ExternalCitation · doi-reference
Dimension of invariant measures for affine iterated function systems
10.1215/00127094-2022-0014 · ExternalCitation · doi-reference
The differentiability of the Riemann function at certain rational multiples of π
10.2307/2373496 · ExternalCitation · doi-reference
Mémoire sur les fonctions discontinues
10.24033/asens.122 · ExternalCitation · doi-reference
A remark on continuous, nowhere differentiable functions
10.3792/pjaa.81.47 · ExternalCitation · doi-reference
On self-similar sets with overlaps and inverse theorems for entropy
10.4007/annals.2014.180.2.7 · ExternalCitation · doi-reference
On Furstenberg's intersection conjecture, self-similar measures, and the lq norms of convolutions
10.4007/annals.2019.189.2.1 · ExternalCitation · doi-reference
The infinite derivatives of Okamoto's self-affine functions: an application of β-expansions
10.4171/jfg/28 · ExternalCitation · doi-reference
