Eric Anders Carlen | Academic Influence

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Eric Anders Carlen

Mathematics

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#5655

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Measure Theory

#2497

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#2999

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Mathematics

Eric Anders Carlen's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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According to Wikipedia, Eric Anders Carlen is a mathematician who is a professor at Rutgers University – New Brunswick. He is a fellow of the American Mathematical Society since 2016, for "contributions to functional analysis, mathematical physics, and probability".

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Eric Anders Carlen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Upper bounds for symmetric Markov transition functions (1986) (461)
Sharp uniform convexity and smoothness inequalities for trace norms (1994) (323)
TRACE INEQUALITIES AND QUANTUM ENTROPY: An introductory course (2009) (270)
Superadditivity of Fisher's information and logarithmic Sobolev inequalities (1991) (266)
Competing symmetries, the logarithmic HLS inequality and Onofri's inequality onsn (1992) (178)
Extremals of functionals with competing symmetries (1990) (151)
Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model (2010) (146)
A sharp analog of Young’s inequality on SN and related entropy inequalities (2004) (142)
Differential Calculus and Integration by Parts on Poisson Space (1990) (128)
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance (2016) (124)
Sharp constant in Nash's inequality (1993) (110)
A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity (2007) (109)
An Analog of the 2-Wasserstein Metric in Non-Commutative Probability Under Which the Fermionic Fokker–Planck Equation is Gradient Flow for the Entropy (2012) (107)
Propagation of Smoothness and the Rate of Exponential Convergence to Equilibrium for a Spatially Homogeneous Maxwellian Gas (1999) (102)
Entropy production by block variable summation and central limit theorems (1991) (100)
Determination of the spectral gap for Kac's master equation and related stochastic evolution (2001) (99)
Entropy and chaos in the Kac model (2008) (96)
On the cases of equality in Bobkov's inequality and Gaussian rearrangement (1999) (94)
Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation (1992) (94)
Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities (1992) (93)
Some integral identities and inequalities for entire functions and their application to the coherent state transform (1991) (91)
Conservative diffusions (1984) (90)
Subadditivity of The Entropy and its Relation to Brascamp–Lieb Type Inequalities (2007) (88)
Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller–Segel equation (2011) (82)
Constrained steepest descent in the 2-Wasserstein metric (2003) (79)
Central limit theorem for Maxwellian molecules and truncation of the wild expansion (2000) (75)
Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the $2$-D Navier-Stokes equation (1995) (72)
Entropy production estimates for Boltzmann equations with physically realistic collision kernels (1994) (71)
$L^P$ Estimates on Iterated Stochastic Integrals (1991) (70)
Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems (2018) (69)
Stability Estimates for the Lowest Eigenvalue of a Schrödinger Operator (2013) (63)
Hardy-Littlewood-Sobolev inequalities via fast diffusion flows (2010) (61)
Many-body aspects of approach to equilibrium (2000) (54)
Kinetic limits for pair-interaction driven master equations and biological swarm models (2011) (52)
Solution of a Model Boltzmann Equation via Steepest Descent in the 2-Wasserstein Metric (2004) (50)
Remainder terms for some quantum entropy inequalities (2014) (50)
Asymptotic equipartition and long time behavior of solutions of a thin-film equation☆ (2007) (43)
Kinetic hierarchy and propagation of chaos in biological swarm models (2011) (42)
An Inequality of Hadamard Type for Permanents (2005) (38)
Large-time behavior of non-symmetric Fokker-Planck type equations (2008) (37)
On the Problem of Stability in Lattice Dynamical Systems (1995) (36)
Determination of the Spectral Gap in the Kac Model for Physical Momentum and Energy-Conserving Collisions (2007) (36)
Stochastic mechanics: A look back and a look ahead (2014) (36)
Bounds for Entanglement via an Extension of Strong Subadditivity of Entropy (2012) (35)
Fast and Slow Convergence to Equilibrium for Maxwellian Molecules via Wild Sums (2003) (35)
Free energy minimizers for a two-species model with segregation and liquid?vapour transition (2002) (29)
On linear hypocoercive BGK models (2015) (29)
On Strong Convergence to Equilibrium for the Boltzmann Equation with Soft Potentials (2008) (29)
Existence and sample path properties of the diffusions in Nelson's stochastic mechanics (1986) (29)
On the relation between rates of relaxation and convergence of wild sums for solutions of the Kac equation (2005) (28)
Phase Diagram of the ABC Model on an Interval (2009) (28)
A Simple Proof of Stability of Fronts¶for the Cahn–Hilliard Equation (2001) (27)
Some Operator and Trace Function Convexity Theorems (2014) (26)
Recovery map stability for the data processing inequality (2017) (26)
An Entropy Dissipation-Entropy Estimate for a Thin Film Type Equation (2005) (25)
Approximate Solutions of the Cahn-Hilliard Equation via Corrections to the Mullins-Sekerka Motion (2005) (24)
ON THE MINIMIZATION OF SYMMETRIC FUNCTIONALS (1994) (24)
Inequalities for quantum divergences and the Audenaert–Datta conjecture (2018) (24)
On multi-dimensional hypocoercive BGK models (2017) (24)
An application of the Bakry-Emery criterion to infinite dimensional diffusions (1986) (23)
Probabilistic investigations on the explosion of solutions of the Kac equation with infinite energy initial distribution (2008) (21)
Strong convergence towards homogeneous cooling states for dissipative Maxwell models (2008) (21)
Duality and Stability for Functional Inequalities (2016) (21)
Stability for the Brunn-Minkowski and Riesz Rearrangement Inequalities, with Applications to Gaussian Concentration and Finite Range Non-local Isoperimetry (2015) (20)
Droplet minimizers for the Gates–Lebowitz–Penrose free energy functional (2009) (19)
Logarithmic Sobolev Inequalities and Spectral Gaps (2004) (18)
Exponential Relaxation to Equilibrium for a One-Dimensional Focusing Non-Linear Schrödinger Equation with Noise (2014) (18)
On Martingale Inequalities in Non-commutative Stochastic Analysis (1998) (17)
Phase transitions in equilibrium systems: microscopic models and mesoscopic free energies (2005) (17)
Exponential approach to, and properties of, a non-equilibrium steady state in a dilute gas (2014) (17)
Approach to the Steady State in Kinetic Models with Thermal Reservoirs at Different Temperatures (2016) (17)
A Boltzmann model for rod alignment and schooling fish (2014) (17)
Algebraic Rate of Decay for the Excess Free Energy and Stability of Fronts for a Nonlocal Phase Kinetics Equation with a Conservation Law. I (1999) (17)
On an extension problem for density matrices (2013) (17)
Droplet minimizers for the Cahn-Hilliard free energy functional (2005) (16)
Kinetic Theory and the Kac Master Equation (2011) (16)
On the Rate of Explosion for Infinite Energy Solutions of the Spatially Homogeneous Boltzmann Equation (2007) (15)
On semimartingale decompositions of convex functions of semimartingales (1992) (14)
Localization, Smoothness, and Convergence to Equilibrium for a Thin Film Equation (2010) (14)
Displacement Convexity and Minimal Fronts at Phase Boundaries (2007) (14)
Recovery and the Data Processing Inequality for Quasi-Entropies (2017) (13)
Asymmetric Covariance Estimates of Brascamp-Lieb Type and Related Inequalities for Log-concave Measures (2011) (12)
Potential scattering in stochastic mechanics (1985) (12)
Algebraic Rate of Decay for The Excess Free Energy And Stability of Fronts for A Nonlocal Phase Kinetics Equation with A Conservation Law,Ii (2000) (12)
On the Markov sequence problem for Jacobi polynomials (2008) (11)
Some trace inequalities for exponential and logarithmic functions (2017) (11)
The correspondence between stochastic mechanics and quantum mechanics on multiply connected configuration spaces (1989) (10)
Propagation of Chaos for a Thermostated Kinetic Model (2013) (10)
Brascamp--Lieb inequalities for non-commutative integration (2008) (10)
On a quantum entropy power inequality of Audenaert, Datta, and Ozols (2016) (10)
Kinetics of a Model Weakly Ionized Plasma in the Presence of Multiple Equilibria (1997) (9)
A generalized Bakry-Emery condition for non-symmetric diffusions (2000) (9)
Dynamics and hydrodynamic limits of the inelastic Boltzmann equation (2010) (9)
Analysis of a simple equation for the ground state energy of the Bose gas (2019) (9)
Some matrix rearrangement inequalities (2004) (8)
Approximate Solutions of the Cahn-Hilliard Equation via Corrections to the Mullins-Sekerka Motion (2006) (8)
SHORT PROOFS OF THEOREMS OF MIRSKY AND HORN ON DIAGONALS AND EIGENVALUES OF MATRICES (2009) (8)
Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States (2014) (8)
Uniqueness of the Non-Equilibrium Steady State for a 1d BGK Model in Kinetic Theory (2019) (8)
Spectral gap for the Kac model with hard sphere collisions (2013) (8)
Entropic convergence for solutions of the Boltzmann equation with general physical initial data (1997) (7)
The pathwise description of quantum scattering in stochastic mechanics (1986) (7)
Stability of Planar Fronts for a Non-Local Phase Kinetics Equation with a Conservation Law in D ≤ 3 (2011) (7)
Matrix and Operator Trace Inequalities (2013) (6)
Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead (2006) (6)
Convexity and Concentration (2017) (6)
Contraction of the proximal map and generalized convexity of the Moreau-Yosida regularization in the 2-Wasserstein metric (2012) (6)
On the Optimal Choice of Coefficients in a Truncated Wild Sum and Approximate Solutions for the Kac Equation (2002) (6)
Complete positivity and self-adjointness (2020) (5)
THE HYPOCOERCIVITY INDEX FOR THE SHORT AND LARGE TIME BEHAVIOR OF ODES (2021) (5)
Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction (2020) (5)
Stochastic mechanics of free scalar fields (1988) (5)
Nonlinear PDE’s and Applications (2011) (5)
Simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy (2020) (5)
On the Convolution Inequality f ≥ f ⋆ f (2020) (4)
Propagation of Chaos for the Thermostatted Kac Master Equation (2013) (4)
Quantitative bounds on the rate of approach to equilibrium for some one-dimensional stochastic nonlinear Schrödinger equations (2017) (4)
Inequalities for $$L^p$$-Norms that Sharpen the Triangle Inequality and Complement Hanner’s Inequality (2018) (4)
Chaos, ergodicity, and equilibria in a quantum Kac model (2018) (4)
On some convexity and monotonicity inequalities of Elliott Lieb (2022) (4)
Strong Subadditivity of Quantum Entropy (2013) (4)
Conservative Diffusions: a Constructive Approach to Nelson's Stochastic Mechanics. (1984) (4)
Functional Inequalities and Dynamics (2011) (3)
Advances in Differential Equations and Mathematical Physics (1998) (3)
Optimal Smoothing and Decay Estimates for Viscously Damped Conservation Laws, with Application to th (1994) (3)
Free energy inequalities and the rate of relaxation to instantons for interface profiles in Glauber dynamics (1998) (3)
The hypocoercivity index for the short time behavior of linear time-invariant ODE systems (2021) (2)
Optimal Two—Uniform Convexity and Fermion Hypercontractivity (1993) (2)
An Analog of the 2-Wasserstein Metric in Non-Commutative Probability Under Which the Fermionic Fokker–Planck Equation is Gradient Flow for the Entropy (2014) (2)
Random Holonomy for Hopf Fibrations (2001) (2)
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem (2011) (2)
Inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$ (2019) (2)
Correction to: Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems (2020) (2)
STABILITY RESULTS FOR SHARP INEQUALITIES AND THEIR APPLICATION IN MATHEMATICAL PHYSICS: An introduction to the critical droplet problem as a case study (2011) (2)
Sojourn Times and First Hitting Times in Stochastic Mechanics (1986) (2)
Entropy production inequalities for the Kac Walk (2016) (2)
A dual form of the sharp Nash inequality and its weighted generalization (2017) (1)
Mesoscopic Analysis of Droplets in Lattice Systems with Long-Range Kac Potentials (2011) (1)
Monotonicity versions of Epstein's Concavity Theorem and related inequalities (2022) (1)
Characterizing Schwarz maps by tracial inequalities (2022) (1)
A ug 2 00 5 AN INEQUALITY OF HADAMARD TYPE FOR PERMANENTS (2008) (1)
Stability of the gagliardo-nirenberg sobolev inequality (2016) (1)
Particles and “bumps” in quantum field configurations (1989) (1)
Spectral gaps for reversible Markov processes with chaotic invariant measures: The Kac process with hard sphere collisions in three dimensions (2018) (1)
Erratum to: Phase Diagram of the ABC Model on an Interval (2011) (1)
Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems (2019) (1)
Dissipation for a non-convex gradient flow problem of a Patlack–Keller–Segel type for densities on Rd, d≥3 (2021) (1)
A fresh look at a simplified approach to the Bose gas. (2020) (1)
Entropy bounds for reduced density matrices of fermionic states (2014) (1)
A remainder term for Hölder’s inequality for matrices and quantum entropy inequalities (2016) (1)
A monotonicity version of a concavity theorem of Lieb (2022) (1)
Mathematisches Forschungsinstitut Oberwolfach Report No . 54 / 2010 DOI : 10 . 4171 / OWR / 2010 / 54 Classical and Quantum Mechanical Models of Many-Particle Systems (2011) (0)
GAFA ENTROPY AND BRASCAMP – LIEB TYPE INEQUALITIES 375 Loss [ CLL 1 ] introduced a new approach to the Brascamp – Lieb inequalities (2009) (0)
Nonlinear diffusions: entropies, asymptotic behavior and applications (2006) (0)
Gradient flow and functional inequalities for quantum Markov semigroups, III (2017) (0)
OPERATOR ALGEBRAS AND NON-COMMUTATVE ANALYSIS : An introductory course with application in quantum mechanics (2016) (0)
Entropy in Quantum Mechanics: Advances (2013) (0)
Propagation of Chaos for a Thermostated Kinetic Model (2013) (0)
A simple proof of Horn's Theorem (2009) (0)
Kinetics of a Model Weakly Ionized Plasmain the Presence of Multiple (2007) (0)
Mesoscopic Analysis of Droplets in Lattice Systems with Long-Range Kac Potentials (2012) (0)
Spectral properties of the Laplacian on the multislice (2022) (0)
Notes on the construction of countably additive measures for Math 501 (2010) (0)
Entropy Methods , PDEs , Functional Inequalities , and Applications ( 14 w 5109 ) (2014) (0)
A remainder term for Hölder’s inequality for matrices and quantum entropy inequalities (2017) (0)
A Kac model with exclusion (2020) (0)
Noncommutative L p-spaces , Operator spaces and Applications June 27-July 2 , 2010 (0)
Stability Estimates for the Lowest Eigenvalue of a Schrödinger Operator (2014) (0)
Propagation of Chaos for the Thermostatted Kac Master Equation (2014) (0)
Bounds for Entanglement via an Extension of Strong Subadditivity of Entropy (2012) (0)
On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory (2006) (0)
Notes on L 2 ( Ω , M , μ ) and the Riesz – Fischer Theorem (2010) (0)
Entropies , the Geometry of Nonlinear Flows , and their Applications ( 18 w 5069 ) (2018) (0)
Foreword (2022) (0)
The Fifth Syrian War portrait coinage. A die study (2019) (0)
A P ] 2 0 N ov 2 01 7 On multi-dimensional hypocoercive BGK models (2018) (0)
Topological roots of the fermionic structures seen in the 2 D Ising model (2015) (0)
Notes on Topology for Functional Analysis (2013) (0)
On the convolution inequality $f \geq f\star f$ (2020) (0)
On a two-species cross attraction system in higher dimensions (2021) (0)
Approach to the Steady State in Kinetic Models with Thermal Reservoirs at Different Temperatures (2018) (0)
Short proofs of theorems of Horn and Mirsky on diagonals and eigenvalues of matrices (2009) (0)
Nonlinear Diffusions and Entropy Dissipation: From Geometry to Biology (2010) (0)
Advances in differential equations and mathematical physics : 1997 Georgia Tech-UAB International Conference on Differential Equations and Mathematical Physics, March 23-29, 1997, Georgia Institute of Technology (1998) (0)
A trace inequality of Ando, Hiai, and Okubo and a monotonicity property of the Golden–Thompson inequality (2022) (0)
Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States (2016) (0)
: Law of the extremes for the two dimensional discrete Gaussian Free Field (2013) (0)
POSITIVE MAPS ON OPERATOR ALGEBRAS AND QUANTUM MARKOV SEMIGROUPS An introductory course with application in quantum mechanics (2018) (0)
Dissipation for a non-convex gradient flow problem of a Patlack-Keller-Segel type for densities on $\mathbb{R}^n$, $n\geq 3$ (2017) (0)
ENTROPY AND CHAOS IN THE KAC MODEL Dedicated to Professor Giuseppe Toscani on the occasion of his sixtieth birthday (2009) (0)
Erratum: Simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy [Phys. Rev. A 103 , 053309 (2021)] (2021) (0)
A Quantum Kac Model (2018) (0)
Dynamics and variational problems (2010) (0)
FA ] 2 A ug 2 00 4 A Sharp analog of Young ’ s Inequality on S N and Related Entropy Inequalities (2018) (0)
NON COMMUTATIVE MASS TRANSPORT & GRADIENT FLOW FOR VON NEUMANN ENTROPY (2013) (0)
On hypocoercive BGK models (2015) (0)
Classical and Quantum Mechanical Models of Many-Particle Systems Organised (2011) (0)
Wiener and the problem of “hidden parameters” in quantum mechanics (1997) (0)
Notes on product measures for Math 501 , Fall 2010 (2010) (0)
Exponential Relaxation to Equilibrium for a One-Dimensional Focusing Non-Linear Schrödinger Equation with Noise (2015) (0)
Classical and Quantum Mechanical Models of Many-Particle Systems (2018) (0)
Notes on Topology for Math 501 (2010) (0)

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