D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 30 Citations 3,638 116 World Ranking 2729 National Ranking 168

Research.com Recognitions

Awards & Achievements

2018 - Member of Academia Europaea

Overview

What is she best known for?

The fields of study she is best known for:

  • Mathematical analysis
  • Algebra
  • Geometry

Viviane Baladi focuses on Mathematical analysis, Piecewise, Transfer operator, Pure mathematics and Sobolev space. Her Mathematical analysis study combines topics in areas such as Statistical physics, Invariant and Position. Her research in Piecewise intersects with topics in Combinatorics, Zero, Measure, Transversal and Lipschitz continuity.

Viviane Baladi has researched Transfer operator in several fields, including Dimension and Spectral gap. When carried out as part of a general Pure mathematics research project, her work on Subshift of finite type is frequently linked to work in Hyperbolic systems, Positive transfer and Key, therefore connecting diverse disciplines of study. Her Sobolev space research includes themes of Spectral radius and Banach space.

Her most cited work include:

  • Positive transfer operators and decay of correlations (611 citations)
  • On the spectra of randomly perturbed expanding maps (142 citations)
  • Anisotropic hölder and sobolev spaces for hyperbolic diffeomorphisms (129 citations)

What are the main themes of her work throughout her whole career to date?

Her primary areas of study are Pure mathematics, Mathematical analysis, Piecewise, Transfer operator and Banach space. She combines subjects such as Measure, Transfer and Bounded function with her study of Pure mathematics. Her work on Exponential function as part of general Mathematical analysis research is frequently linked to Exponential decay, Work and Observable, thereby connecting diverse disciplines of science.

Her Piecewise study incorporates themes from Sequence, Spectral gap and Tangent. The Transfer operator study combines topics in areas such as Algorithm, Eigenvalues and eigenvectors and Fredholm determinant. In her research, Sobolev space and Line is intimately related to Spectral radius, which falls under the overarching field of Banach space.

She most often published in these fields:

  • Pure mathematics (38.52%)
  • Mathematical analysis (36.89%)
  • Piecewise (26.23%)

What were the highlights of her more recent work (between 2017-2021)?

  • Pure mathematics (38.52%)
  • Banach space (19.67%)
  • Anisotropy (7.38%)

In recent papers she was focusing on the following fields of study:

Viviane Baladi mostly deals with Pure mathematics, Banach space, Anisotropy, Differentiable function and Transfer. Her work deals with themes such as Resolution and Bounded function, which intersect with Pure mathematics. Viviane Baladi has included themes like Absolute continuity, Invariant probability measure, Transversal and Piecewise in her Bounded function study.

Her Differentiable function study combines topics in areas such as Transfer operator, Diffeomorphism and Spectral radius. Her work carried out in the field of Transfer brings together such families of science as Mathematical analysis and Spectrum. Her Mathematical analysis study typically links adjacent topics like Eigenvalues and eigenvectors.

Between 2017 and 2021, her most popular works were:

  • Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows (42 citations)
  • Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps: A Functional Approach (35 citations)
  • On the measure of maximal entropy for finite horizon Sinai Billiard maps (13 citations)

In her most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Geometry

Viviane Baladi mainly focuses on Bounded function, Mathematical physics, Anisotropy, Pure mathematics and Banach space. The concepts of her Bounded function study are interwoven with issues in Absolute continuity, Holomorphic function, Invariant probability measure and Piecewise. Her Mathematical physics research focuses on Dynamical billiards and how it relates to Topological entropy.

Her Pure mathematics study frequently links to other fields, such as Torus. Her Banach space study frequently draws parallels with other fields, such as Spectrum. Her Riemann zeta function study combines topics from a wide range of disciplines, such as Flow and Measure.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Positive transfer operators and decay of correlations

Viviane Baladi.
(2000)

806 Citations

Anisotropic hölder and sobolev spaces for hyperbolic diffeomorphisms

Viviane Baladi;Masato Tsujii.
Annales de l'Institut Fourier (2007)

200 Citations

On the spectra of randomly perturbed expanding maps

V. Baladi;L. S. Young.
Communications in Mathematical Physics (1993)

185 Citations

Zeta functions and transfer operators for piecewise monotone transformations

V. Baladi;G. Keller.
Communications in Mathematical Physics (1990)

179 Citations

Euclidean algorithms are Gaussian

Viviane Baladi;Brigitte Vallée.
Journal of Number Theory (2005)

132 Citations

Strong stochastic stability and rate of mixing for unimodal maps

Viviane Baladi;Marcelo Viana.
Annales Scientifiques De L Ecole Normale Superieure (1996)

118 Citations

Linear response formula for piecewise expanding unimodal maps

Viviane Baladi;Daniel Smania.
Nonlinearity (2008)

98 Citations

Resonances for intermittent systems

V Baladi;J P Eckmann;D Ruelle.
Nonlinearity (1989)

95 Citations

Linear response, or else

Viviane Baladi.
arXiv: Dynamical Systems (2014)

88 Citations

On the Susceptibility Function of Piecewise Expanding Interval Maps

Viviane Baladi.
Communications in Mathematical Physics (2007)

88 Citations

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