World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
7424
World Ranking
1786
National Ranking
766

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to functional analysis, mathematical physics, and probability.

Overview

Eric A. Carlen is affiliated with Rutgers, The State University of New Jersey in the United States. Their research spans the fields of Mathematics and Physics and Astronomy, with a strong focus on applied and theoretical aspects within these disciplines.

Their main areas of study include:

  • Mathematics
  • Physics and Astronomy

Within these broader fields, Carlen's work addresses several subfields such as:

  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Computational Theory and Mathematics

The principal topics researched encompass:

  • Mathematical Inequalities and Applications
  • Advanced Thermodynamics and Statistical Mechanics
  • Quantum chaos and dynamical systems
  • Spectral Theory in Mathematical Physics
  • Cold Atom Physics and Bose-Einstein Condensates
  • Quantum many-body systems
  • Holomorphic and Operator Theory

Eric A. Carlen's recent papers illustrate a range of research interests across mathematical physics and analysis. Some notable publications include:

  • "Simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy," 2021, Physical review. A/Physical review, A
  • "Characterizing Schwarz maps by tracial inequalities," 2023, Letters in Mathematical Physics
  • "Monotonicity versions of Epstein's Concavity Theorem and related inequalities," 2022, Linear Algebra and its Applications
  • "On the Convolution Inequality f ≥ f ⋆ f," 2020, International Mathematics Research Notices

The frequent co-authors collaborating with Carlen include:

  • Élliott H. Lieb
  • Michael Loss
  • Ian Jauslin
  • Rupert L. Frank
  • Markus Holzmann

The main publication venues where Carlen's works appear most frequently are:

  • arXiv (Cornell University)
  • Physical review. A/Physical review, A
  • Letters in Mathematical Physics
  • Linear Algebra and its Applications
  • Journal of Differential Equations

Carlen has also authored a book:

  • Inequalities in Matrix Algebras, published by the American Mathematical Society, expected in 2025

Recognition of Carlen's professional contributions includes being named a Fellow of the American Mathematical Society in 2016 for work in functional analysis, mathematical physics, and probability.

Best Publications

  • Upper bounds for symmetric Markov transition functions

    Eric Anders. Carlen;S. Kusuoka;Daniel W. Stroock

  • Sharp uniform convexity and smoothness inequalities for trace norms

    Keith Ball;Eric A. Carlen;Elliott H. Lieb

  • Superadditivity of Fisher's information and logarithmic Sobolev inequalities

    Eric A Carlen

  • TRACE INEQUALITIES AND QUANTUM ENTROPY: An introductory course

    Eric A. Carlen

  • Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on sn

    Eric Carlen;M. Loss

  • Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model

    Adrien Blanchet;Eric Carlen;José Antonio Carrillo

  • A Sharp analog of Young's Inequality on $S^N$ and Related Entropy Inequalities

    Eric Carlen;Elliott Lieb;Michael Loss

  • Extremals of functionals with competing symmetries

    Eric A Carlen;Michael Loss

  • Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance

    Eric A. Carlen;Jan Maas

  • A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity

    Eric A. Carlen;Elliott H. Lieb

  • Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration Inequalities

    Eric A. Carlen;Elliott H. Lieb

  • Differential Calculus and Integration by Parts on Poisson Space

    Eric A. Carlen;Etienne Pardoux

  • Some integral identities and inequalities for entire functions and their application to the coherent state transform

    Eric A Carlen

  • Sharp constant in Nash's inequality

    Eric A. Carlen;Michael Loss

  • Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems.

    Eric A. Carlen;Jan Maas

  • Propagation of Smoothness and the Rate of Exponential Convergence to Equilibrium for a Spatially Homogeneous Maxwellian Gas

    E. A. Carlen;E. Gabetta;G. Toscani

  • SUBADDITIVITY OF THE ENTROPY AND ITS RELATION TO BRASCAMP-LIEB TYPE INEQUALITIES

    Eric A. Carlen;Dario Cordero–Erausquin

  • An Analog of the 2-Wasserstein Metric in Non-Commutative Probability Under Which the Fermionic Fokker–Planck Equation is Gradient Flow for the Entropy

    Eric A. Carlen;Jan Maas

  • Entropy production by block variable summation and central limit theorems

    E. A. Carlen;A. Soffer

  • Determination of the spectral gap for Kac's master equation and related stochastic evolution

    Eric Carlen;M. C. Carvalho;M. Loss

  • Conservative diffusions

    Unknown

  • A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy

    Eric A. Carlen;Elliott H. Lieb

Frequent Co-Authors

Elliott H. Lieb
Elliott H. Lieb Princeton University
Michael Loss
Michael Loss Georgia Institute of Technology
Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Clément Mouhot
Clément Mouhot University of Cambridge
José A. Carrillo
José A. Carrillo University of Oxford
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Pierre Degond
Pierre Degond Toulouse Mathematics Institute

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