D-Index & Metrics Best Publications
Mathematics
Brazil
2023

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 40 Citations 6,937 171 World Ranking 1375 National Ranking 8

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Brazil Leader Award

2022 - Research.com Mathematics in Brazil Leader Award

2010 - Fellow, The World Academy of Sciences

2004 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Probability theory

Statistical physics, Markov process, Mathematical analysis, Non-equilibrium thermodynamics and Lattice are his primary areas of study. In general Statistical physics study, his work on Statistical mechanics often relates to the realm of Stochastic modelling, thereby connecting several areas of interest. Claudio Landim interconnects Law of large numbers and Large deviations theory, Rate function in the investigation of issues within Mathematical analysis.

His Large deviations theory research is multidisciplinary, relying on both Statistical fluctuations, Phase transition, Average current and Thermodynamic limit. The concepts of his Dirichlet form study are interwoven with issues in Upper and lower bounds, Spectral gap and Entropy. His work carried out in the field of Nonlinear system brings together such families of science as Invariant measure and H-theorem.

His most cited work include:

  • Scaling Limits of Interacting Particle Systems (976 citations)
  • Macroscopic fluctuation theory for stationary non-equilibrium states (383 citations)
  • Macroscopic fluctuation theory for stationary non-equilibrium states (383 citations)

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

His scientific interests lie mostly in Statistical physics, Mathematical analysis, Metastability, Combinatorics and Particle system. His study on Large deviations theory is often connected to Markov process as part of broader study in Statistical physics. His work on Rate function as part of his general Large deviations theory study is frequently connected to Empirical measure, thereby bridging the divide between different branches of science.

His research on Metastability also deals with topics like

  • Zero together with Range,
  • Torus which connect with Exponential function. His work deals with themes such as Distribution and Particle number, which intersect with Combinatorics. The Non-equilibrium thermodynamics study combines topics in areas such as Action, Variational principle, Classical mechanics, Boundary and Transformation.

He most often published in these fields:

  • Statistical physics (64.77%)
  • Mathematical analysis (33.56%)
  • Metastability (33.89%)

What were the highlights of his more recent work (between 2015-2021)?

  • Metastability (33.89%)
  • Statistical physics (64.77%)
  • Torus (12.08%)

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

Claudio Landim mainly focuses on Metastability, Statistical physics, Torus, Mathematical analysis and Mathematical physics. His Metastability research is multidisciplinary, relying on both Martingale, Spins, Condensed matter physics and Potential theory. His Statistical physics study combines topics in areas such as Scaling and Resolvent.

His studies deal with areas such as Sequence, Exponential function and Combinatorics as well as Torus. His Mathematical analysis research incorporates themes from Stationary state and Perturbation. His work in Mathematical physics tackles topics such as Boundary which are related to areas like Ornstein–Uhlenbeck process, Non-equilibrium thermodynamics and Transformation.

Between 2015 and 2021, his most popular works were:

  • Metastability of the Two-Dimensional Blume–Capel Model with Zero Chemical Potential and Small Magnetic Field (21 citations)
  • Metastability of the Two-Dimensional Blume–Capel Model with Zero Chemical Potential and Small Magnetic Field (21 citations)
  • Metastability of Non-reversible, Mean-Field Potts Model with Three Spins (16 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Probability theory

His primary areas of study are Metastability, Statistical physics, Context, Mathematical physics and Elliptic operator. His biological study spans a wide range of topics, including Martingale, Potential theory, Mathematical analysis and Nucleation. His Martingale study integrates concerns from other disciplines, such as Simplex, Differential operator, Uniqueness and Boundary value problem.

His study in the field of Potts model is also linked to topics like Computation. Claudio Landim integrates many fields, such as Context, Dirichlet distribution and Complex system, in his works. His Condensed matter physics research includes themes of Zero, Magnetic field and Torus.

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

Scaling Limits of Interacting Particle Systems

Claude Kipnis;Claudio Landim.
(2010)

1446 Citations

Scaling Limits of Interacting Particle Systems

Claude Kipnis;Claudio Landim.
(2010)

1446 Citations

Macroscopic fluctuation theory

Lorenzo Bertini;Alberto De Sole;Davide Gabrielli;Giovanni Jona-Lasinio.
Reviews of Modern Physics (2015)

435 Citations

Macroscopic fluctuation theory

Lorenzo Bertini;Alberto De Sole;Davide Gabrielli;Giovanni Jona-Lasinio.
Reviews of Modern Physics (2015)

435 Citations

Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States

L. Bertini;A. De Sole;D. Gabrielli;G. Jona-Lasinio.
Journal of Statistical Physics (2002)

409 Citations

Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States

L. Bertini;A. De Sole;D. Gabrielli;G. Jona-Lasinio.
Journal of Statistical Physics (2002)

409 Citations

Fluctuations in Stationary Nonequilibrium States of Irreversible Processes

L. Bertini;A. De Sole;D. Gabrielli;G. Jona-Lasinio.
Physical Review Letters (2001)

310 Citations

Fluctuations in Stationary Nonequilibrium States of Irreversible Processes

L. Bertini;A. De Sole;D. Gabrielli;G. Jona-Lasinio.
Physical Review Letters (2001)

310 Citations

Current fluctuations in stochastic lattice gases.

L. Bertini;A. De Sole;D. Gabrielli;G. Jona-Lasinio.
Physical Review Letters (2005)

247 Citations

Current fluctuations in stochastic lattice gases.

L. Bertini;A. De Sole;D. Gabrielli;G. Jona-Lasinio.
Physical Review Letters (2005)

247 Citations

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