Carlangelo Liverani

What is he best known for?

The fields of study he is best known for:

• Quantum mechanics
• Mathematical analysis
• Geometry

Carlangelo Liverani mostly deals with Mathematical analysis, Transfer operator, Anosov diffeomorphism, Spectrum and Stability. His study ties his expertise on Mathematical physics together with the subject of Mathematical analysis. His Transfer operator research includes elements of Eigenvalues and eigenvectors and Piecewise.

The concepts of his Anosov diffeomorphism study are interwoven with issues in Differentiable function, Banach space and Ruelle zeta function. The various areas that Carlangelo Liverani examines in his Banach space study include Flow, Measure and Spectral radius. His Spectrum research is multidisciplinary, incorporating elements of Transfer, Type inequality, Finite-rank operator, Class and Operator theory.

His most cited work include:

• A probabilistic approach to intermittency (344 citations)
• Decay of correlations (307 citations)
• Stability of the spectrum for transfer operators (298 citations)

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

His main research concerns Mathematical analysis, Pure mathematics, Transfer operator, Dynamical systems theory and Statistical physics. His research investigates the connection with Mathematical analysis and areas like Eigenvalues and eigenvectors which intersect with concerns in Operator theory. His study in Pure mathematics is interdisciplinary in nature, drawing from both Measure, Hyperbolic systems and Class.

The Transfer operator study combines topics in areas such as Manifold, Banach space, Action and Piecewise. He combines subjects such as Anosov diffeomorphism, Torus, Flow and Spectrum with his study of Banach space. His Dynamical systems theory study combines topics from a wide range of disciplines, such as Lyapunov exponent, Metastability, Algebra, Applied mathematics and Calculus.

He most often published in these fields:

• Mathematical analysis (27.68%)
• Pure mathematics (26.79%)
• Transfer operator (21.43%)

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

• Class (13.39%)
• Pure mathematics (26.79%)
• Statistical physics (16.96%)

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

His primary scientific interests are in Class, Pure mathematics, Statistical physics, Transfer and Lorentz transformation. His research in Pure mathematics intersects with topics in Space, Gravitational singularity and Piecewise. His Statistical physics research integrates issues from Ergodic theory and Chaotic dynamical systems.

His study with Ergodic theory involves better knowledge in Mathematical analysis. Transfer operator and Banach space are subfields of Mathematical analysis in which his conducts study. His work in Transfer covers topics such as Spectrum which are related to areas like Dynamical systems theory, Affine transformation and Monotone polygon.

Between 2017 and 2021, his most popular works were:

• Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows (42 citations)
• Limit Theorems for Fast-slow partially hyperbolic systems (17 citations)
• Parabolic dynamics and anisotropic Banach spaces (13 citations)

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

• Quantum mechanics
• Mathematical analysis
• Geometry

Carlangelo Liverani spends much of his time researching Ergodic theory, Limit, Transfer, Banach space and Flow. His Ergodic theory study combines topics in areas such as Dynamical systems theory, Chaotic dynamical systems and Statistical physics. His biological study spans a wide range of topics, including Hyperbolic systems, Class, Simple and Distribution.

His Transfer study integrates concerns from other disciplines, such as Pure mathematics, Mathematical physics, Spectrum, Lorentz transformation and Anisotropy. His Banach space research is under the purview of Mathematical analysis. His studies link Eigenvalues and eigenvectors with Flow.