معرفی
Eric A. Carlen is a Distinguished Professor of Mathematics at Rutgers University, specializing in mathematical physics. His faculty position is within the Department of Mathematics where he conducts research at the intersection of functional analysis, probability theory, and mathematical physics. He maintains an active research program with numerous recent publications spanning quantum information theory, statistical mechanics, and partial differential equations.
Professor Carlen's research focuses on functional analysis, probability, and mathematical physics, with particular emphasis on problems in non-equilibrium statistical mechanics and variational problems. His work explores geometric inequalities and their applications to physical systems. Recent research directions include:
- Quantum Markov semigroups and their spectral properties
- Functional inequalities and their stability
- Kinetic theory and approach to equilibrium phenomena
- Quantum information theory and entropy methods
- Non-equilibrium steady states in boundary-driven systems
Analysis of Professor Carlen's recent publications (2023-2025) reveals a strong focus on quantum information theory, particularly quantum Markov processes and entropy inequalities. His work bridges abstract mathematical analysis with applications in statistical mechanics, showing particular interest in hypocoercivity, spectral gaps, and stability of functional inequalities. A significant portion of his recent work connects mathematical analysis with physical applications, especially in non-equilibrium statistical mechanics.
Professor Carlen teaches courses in mathematics, including an introduction to the mathematical theory of probability. His office is located in Hill Center 632 at Rutgers University, and he can be contacted at carlen@math.rutgers.edu.
