Personal Data

Full name

Eric Anders Carlen

Publishing name

Eric Anders Carlen



Academic Degrees


Degree date


Final grade

Ph.D. in Physics

Degree granting institution


School / College / Campus

Faculdade de Ciências do Mar e do Ambiente

Thesis title

The Existence and sample path properties of diffusions in Nelson's stochastic mechanics.



Scientific area

Analysis ans mathematical physics

Profissional activity

Period Position Institution
02-07-2007 - Distinguished Professor of Mathematics Rutgers University
01-07-1997 - 30-06-2007 Professor of Mathematics Georgia Institute of Technology

Area of scientific activity

Area of scientific activity

Analysis, Partial Differential Equations, Calculus of Variations, and Mathematical Physics

Specialization domain

Analysis, Partial Differential Equations, Calculus of Variations, and Mathemaitical Physics

Current main scientific area

Analysis, Partial Differential Equations, Calculus of Variations, and Mathemaitical Physics

Other scientific activities


Experience as scientific advisor

I have supervised the Ph. D theses of

(1) Clayton Kerce

(2) Suleyman Ulusoy

(3) Jogi Bandophadhay

(4) Gabe Bouch

(5) Lillian (Katy) Craig.

Participations in R&D projects

I have had a joint National Science Foundation research grant with Michael loss of Georgia Tech continuously sine 1992. This grant has just ben renewed for another three years.<br><br>I have laso obtained numerous special purpose grants for conferences or targeted collaboration from the NSF.


Year Award Awarding entity


Artigos em revistas de circulação internacional com arbitragem científica


    \noindent{[1]} Carlen, E.A.: {\it Conservative diffusions}, Commun. Math. Phys., {\bf 94} 1984,

    \noindent{[2]} Carlen, E.A.: {\it Potential scattering in stochastic mechanics}, Ann. Inst. H.
    Poincare, Phys. ThÈorique, {\bf 42}, 1985 pp.402-428.

    \noindent{[3]} Carlen, E.A., Kusuoka, S. and Stroock, D.W.:{\it Upper bounds for Symmetric Markov
    transition functions}, Ann. Inst. H. Poincare, Prob. and Stat., {\bf 23}, sup. au. no. 2, 1987

    \noindent{[4]} Blanchard, Ph., Carlen, E.A. and Dell'Antonio G.F.: {\it Particles and ``bumps'' in quantum
    field configurations}, Jour. Stat. Phys., {\bf 55}, 1989 pp.769-787.

    \noindent{[5]} Carlen, E.A. and Loffredo, M.: {\it The correspondence between stochastic mechanics and
    quantum mechanics on multiply connected configuration spaces}, Physics Letters A, {\bf 141}, 1989

    \noindent{[6]} Carlen, E.A. and Loss, M.: {\it Extremals of functionals with competing symmetries}, Jour.
    of Func. Analysis, {\bf 88}, 1990 pp.437-456.

    \noindent{[7]} Carlen, E.A. and Kr\'ee, P.: {\it $L^p$ estimates on iterated stochastic integrals}, Ann. of
    Prob., {\bf 19}, 1991 pp.354-358.

    \noindent{[8]} Carlen, E.A.: {\it Some integral identities for entire functions and their application to
    the coherent state transform}, Jour. of Func. Analysis, {\bf 97}, 1991 pp.231-249.

    \noindent{[9]} Carlen, E.A. and Soffer, A.: {\it Entropy production by block summation and central limit
    theorems}, Comm. Math. Phys. {\bf 140}, 1991 pp.339-371.

    \noindent{[10]} Carlen, E.A.: {\it Superadditivity of Fisher information and logarithmic Sobolev
    inequalities}, Jour. of Func. Analysis, {\bf 101}, 1991 pp.194-211.

    \noindent{[11]} Carlen, E.A. and Protter, P.: {\it On semimartingale decompositions of convex functions of
    semimartingales}, Ill. Jour. of Math., {\bf 36}, 1992 pp.420-427

    \noindent{[12]} Carlen, E.A. and Loss, M.: {\it Competing symmetries, the logarithmic
    Hardy-Littlewood-Sobolev inequality and Onofri's inequality on $S^n$},
    Jour. Geom. and Func. Analysis, {\bf 2}, 1992 pp.90-104

    \noindent{[13]} Carlen, E.A. and Kr\'ee, P.: {\it On the method of $H^p$ estimates on iterated
    stochastic integrals}, C.R.A.S. {\bf 304}, SÈrie I, 1992 pp.393-398.

    \noindent{[14]} Carlen, E.A. and Carvalho, M.C.: {\it Strict entropy production bounds and stability of the
    rate of convergence to equilibrium for the Boltzmann equation}, Jour. of Stat. Phys. {\bf 67}, 1992

    \noindent{[15]} Carlen, E.A. and Lieb, E.H.: {\it Optimal Hypercontractivity for Fermi Fields and Related
    Non-commutative Integration Inequalities}, Comm. Math. Phys., {\bf 155}, 1993 pp. 27-46.

    \noindent{[16]} Carlen, E.A. and Loss, M.: {\it Sharp constant in Nash's inequality}, International Math.
    Res. Notices, Duke Math. Journal, {\bf 71}, 1993 pp.213-216

    \noindent{[17]} Carlen, E.A. and Carvalho, M.C.: {\it Entropy production estimates for Boltzmann equations
    with physically realistic collision kernels}, Jour. of Stat. Phys. {\bf 74} (1994) pp. 743-782.

    \noindent{[18]} Carlen, E.A. and Loss, M.: {\it On the minimization of symmetric functionals}, Rev. in
    Math. Phys., Special Issue 1994 pp. 1011-1032.

    \noindent{[19]} Ball, K., Carlen, E.A. and Lieb, E.H.: {\it Sharp uniform convexity and smoothness
    inequalities for trace norms}, Invent. Mathematica {\bf 115} (1994) 463--482.

    \noindent{[20]} Carlen, E.A. and Loss, M.: {\it Optimal smoothing and decay estimates for viscously damped
    conservation laws, with applications to the 2-D Navier--Stokes equation}, Duke Math Jour {\bf 80}
    1995 pp. 1-23.

    \noindent{[21]} Carlen, E.A., Esposito, R., Lebowitz J.L., Marra, R., and Rokhlenko A., {\it Nonunique
    stationary states in driven kinetic systems with applications to
    plasmas}, Phys. Rev. E, {\bf 52} (1995) pp. 40-43.

    \noindent{[22]} Carlen, E.A. and Bunimovich, L.: {\it On the problem of stability in lattice dynamical
    systems}, Jour. Diff. Equations, {\bf 123}, (1995) pp. 213-229.

    \noindent{[23]} Carlen, E.A., Carvalho, M.C. and Wennberg, B.: {\it Entropic convergence to equilibrium
    for solutions to the Boltzmann equation with arbitrary physical initial data}, Jour. of
    Transport Thy and Stat. Phys., {\bf 26}, (1997) 373-378.

    \noindent{[24]} Carlen, E.A.: {\it Kinetic theory methods and the stability of fronts for certain
    non-local phase kinetics equations}, Rendiconti del Cir. Mat. di Palermo, Serie II, Suppl. {\bf 57}
    (1998) 111-119.

    \noindent{[25]} Carlen, E.A. and Kr\' ee, P.: {\it On Martingale Inequalities in Non--commutative Stochastic
    Analysis}, Jour Func Analysis {\bf 158} (1998) 475-508.

    \noindent{[26]} Carlen, E.A., Esposito R., Lebowitz, J.L., Marra, R. and Rokhlenko, A.: {\it Hydrodynamic
    Limit of a driven kinetic system with non-unique stationary states}, Archive for Rational
    Mechanics and Analysis, {\bf 142} (1998) p 193-218

    \noindent{[27]} Carlen, E.A., Carvalho, M.C. and Orlandi, E.: {\it Free energy inequalities and the rate
    of relaxation to instantons for interface profiles in Glauber dynamics},
    Jour. of Nonlinear Diff. Eq., {\bf 5}, (1998) 205-218.

    \noindent{[28]} Carlen, E.A., Carvalho, M.C. and Orlandi, E.: {\it Algebraic Rates of decay of Excess
    Free Energy and The Stability of Fronts for a Non-local Phase Kinetics Equation I}, Jour. Stat
    Phys. {\bf 95} (1999) 1069-1117.

    \noindent{[29]} Carlen, E.A. Gabetta, E., Toscani, G: {\it Propagation of Smoothness and the Rate of
    Exponential decay to Equilibrium for a spatially Homogeneous Maxwellian Gas},
    Comm Math Phys. {\bf 305} (1999) 521-546.

    \noindent{[30]} Carlen, E.A., and Lieb E.H: {\it A Minkowski Type Trace Inequality and Strong
    Subadditivity of Quantum Entropy}, Advances in the Mathematical Sciences, AMS Translations,
    {\bf 189} Series 2, (1999) 59-68.

    \noindent{[31]} Carlen, E.A., Carvalho, M.C. and Orlandi, E.: {\it Algebraic Rates of decay of Excess
    Free Energy and The Stability of Fronts for a Non-local Phase Kinetics Equation II}, Comm. PDE,
    {\bf 25} (2000) pp. 847-886.

    \noindent{[32]} Carlen, E.A., Carvalho, M.C. and Gabetta, E.: {\it Central Limit Theorem for Maxwellian
    Molecules and Truncation of the Wild Expansion}, Comm Pure and Appl. Math., Vol.{\bf LIII} (2000), pp. 370-397.

    \noindent{[33]} Carlen, E.A., Kerce, C.: {\it Cases of Equality in Bobkov's Inequality},
    Calculus of Variations, {\bf 13} (2001), pp. 1-18

    \noindent{[34]} Bauer, R. and Carlen E.A.: {\it Random Holonomy in Hopf Fibrations}, Jour.
    Func. Analysis, {\bf 182} (2001), pp. 371-389

    \noindent{[35]} Carlen, E.A., Carvalho, M.C. and Orlandi, E.:
    {\it A simple proof of stability of fronts for Cahn--Hilliard equation},
    Commun. Math.Phys., {\bf 224}, (2001) pp. 323--340

    \noindent{[36]} Carlen, E.A. and Vilela Mendes, R.:
    Non-commutative space-time and the uncertainty principle, Physics Letters A, {\bf 290} 3-4, 2001, p109-114

    \noindent{[37]} Carlen, E.A., Salvarani, F.:
    {\it On the optimal choice of coefficients in a truncated wild sum
    and approximate solutions for the Kac equation}, Jour. Stat. Phys. {\bf 109} No. 1/2,
    (2002) pp. 152--277

    \noindent{[38]} Carlen, E.A. and Gangbo W.: {\it Constrained Steepest Descent
    in the 2--Wasserstein Metric}, Annals of Mathematics {\bf 157} 3, 2003 pp.1-40

    \noindent{[39]} Carlen, E.A. and Lu, Xuguang.: {\it Fast and slow convergence to equilibrium
    for Maxwellian molecules via Wild sums}, Jour. Stat. Phys {\bf 112} 1/2, 2003 pp. 59-134

    \noindent{[40]} Carlen, E.A., Carvalho, M. C and Loss M.: {\it Determination of the spectral
    gap for Kac's master equation and related stochastic evolution},
    Acta Mathematica {\bf 191}, 1-54 (2003). arXiv math-ph/0109003

    \noindent{[41]} Carlen, E.A.; Carvalho, M.C.; Esposito, R.; Lebowitz, J.L.; Marra, R.
    Free energy minimizers for a two-species model with segregation and liquid-vapour transition.
    Nonlinearity {\bf 16} no. 3, (2003), 1075--1105.

    \noindent{[42]} Carlen, E.A.; Carvalho, M.C.: Probabilistic methods in Kinetic Theory
    Riv. Mat. Univ. Parma {\bf 7} (2003), no. 2, 101--149.

    \noindent{[43]} Carlen, E.A. and Gangbo W.: {\it On the Solution of a model Boltzmann Equation
    via Steepest Descent in the 2--Wasserstein Metric}, Archive for Rational
    Mechanics and Analysis, {\bf 172} no. 1, (2004) 21--64

    \noindent{[44]} Carlen, E.A., Lieb. E.H. and Loss, M: {\it A sharp analog of Young’s inequality on
    $S^N$ and related entropy inequalities}, Journal of Geometric Analysis, {\bf 14} (2004), 487-520.

    \noindent{[45]} Carlen, E.A., Carvalho, M.C., and Gabetta, G.: {\it On the the relation between the rates of relaxation and convergence of Wild sums for solutions of the Kac equation}, Jour. Func. Analysis, {\bf 220} , no. 2, (2005) 362–387

    \noindent{[46]} Carlen, E.A. and Ulusoy, S {\it An entropy production–entropy inequality for a thin film equation}, Comm. in Math. Sciences {\bf 3}, no. 2 (2005) 171-178

    \noindent{[47]} Carlen. E.A. , Carvalho, M, Esposito, R., Lebowitz, J.L. and Mara, R {\it Phase transitions in equilibrium systems: microscopic models and mesoscopic free energies}, Jour. Molecular Phys., {\bf 103} no. 21--23 (2005) 3141--3151

    \noindent{[48]} Carlen. E.A. , Carvalho, M, Esposito, R., Lebowitz, J.L. and Mara, R {\it Droplet minimizers for the Cahn-Hilliard free energy functional}, Jour. Geom. Analysis, {\bf 16}, no. 2 (2006)

    \noindent{[49]} Carlen, E.A. and Lieb, E.H.: {\it Some matrix rearrangement inequalities}, Annali di Matematica Pura e Appl., {\bf 185},
    Supplemnnt 5, (2006) 315--324

    \noindent{[50]} Carlen, E.A., Lieb, E.H. and Loss M.: {\it An Inequality of Hadamard Type for Permanents} Methods and Applications of Analysis, {\bf 13}, no. 1 (2006) 1--18

    \noindent{[51]} Carlen, E.A., Gabbetta, E., Regazzini, E.: {\it On the Rate of Explosion for Infinite energy solutions of the Spatially Homogeneous Boltzmann Equation } Jour. Stat. Phys.
    {\bf 129}, No. 4, (2007) 699-723

    \noindent{[52]} Carlen, E.A., Ulusoy, S.: {\it Asymptotic Equipartition and Long Time Behavior of Solutions of a Thin-film Equation } {\bf 241}, Issue 2, (2007), 279-292

    \noindent{[53]} Carlen, E.A., Geronimo, J. and Loss, M.: {\it Determination of the spectral gap in the Kac model for
    physical momentum and energy conserving collisions} SIAM Jour. Mathematical Analysis {\bf 40},
    no. 1, (2008) 327-364

    \noindent{[54]} Carlen, E.A., Gabbetta, E., Regazzini, E.: {\it Probabilistic Investigation of the explosion of solutions of the Kac equation with infinite energy initial distribution} Advances in Applied Probability, {\bf 45} no. 1, (2008) 95-106

    \noindent{[55]} Carlen, E.A. and Lieb, E.H.: {\it A Minkowski type trace inequality and strong subadditivity of the quantum entropy II}
    Lett. Math. Phys., Vol. 83, no. 2, (2008) pp. 107-126

    \noindent{[56]} Arnold, A., Carlen, E.A. and Ju, Q: {\it The large-time behavior of non-symmetric Fokker-Planck type equations}, Communications on Stochastic Analysis, {\bf 2}, no.1, (2008) 153-175

    \noindent{[57]} Carlen, E.A. and Lieb, E.H.: {\it Bascamp-Lieb inequalities for non-commutative integration}
    arXiv:0808.1060, Documenta Mathematica, {\bf 13} (2008) 553-584

    \noindent{[58]} Carlen, E.A., Vilela Mendes, R.:
    {\it Signal reconstruction by random sampling in chirp space}, Nonlinear Dynamics, I
    {\bf 56}, no. 3, (2009) 223-229

    \noindent{[59]} Carlen, E.A. and Corderro--Erausquin, D.: {\it Subadditivity of entropy and its relation to Brascamp--Lieb type inequalities} arXiv:0710.0870,
    Geometric and Functional Analysis, {\bf 19}, no. 2, (2009) 373-405

    \noindent{[60]} Carlen. E.A. , Carvalho, M.C., Esposito, R., Lebowitz, J.L. and Mara, R {\it Displacement convexity and minimal fronts at phase boundaries},
    arXiv:0706.0133, Archive for Rat. Mech. and Analysis. {\bf 194}, no. 3, (2009) 823-847

    \noindent{[61]} Carlen, E.A., Carvalho M.C., and Carrillo, J.A.: {\it Strong convergence towards homogeneous cooling states for dissipative Maxwell models}, Ann. Inst. H. Poincare, Nonlinear Analysis, {\bf 26}, no. 5, (2009) 1675-1700

    \noindent{[62]} Carlen, E.A. , Carvalho, M.C. and Lu, X.G., {\it On strong convergence to equilibrium for the Boltzmann equation with soft potentials}, J. Stat. Phys.
    {\bf 135}, no. 4, (2009) 681-736

    \noindent{[63]} Carlen, E.A. and Lieb, E.H., {\it Short proofs of Theorems of Mirsky and Horn on diagonals and eigenvalues of matrices}, Electronic Journal of Linear Algebra,
    {\bf 18}, (2009) 438-441

    \noindent{[64]} Ayyer, A., Carlen, E.A., Lebowitz, J.L., Mohanty, P.K., Mukamel, D and Speer, E.R., {\it Phase Diagram of the ABC Model on an Interval}, J. Stat. Phys.
    {\bf 137}, no. 5/6, (2009) 1166-1204

    Carlen, Eric A., Carvalho, Maria C., Le Roux, Jonathan, Loss, Michael, Villani, C\'edric {\it Entropy and chaos in the Kac model}. Kinet. Relat. Models {\bf 3} (2010), no. 1, 85--122.

    Carlen, Eric; Chow, Shui-Nee, Grigo, Alexander {\it Dynamics and hydrodynamic limits of the inelastic Boltzmann equation}. Nonlinearity {\bf 23} (2010), no. 8, 1807--1849.

    Carlen, Eric {\it Trace inequalities and quantum entropy: an introductory course}. Entropy and the quantum, 73--140, Contemp. Math., {\bf 529}, Amer. Math. Soc., Providence, RI, 2010.

    Carlen, Eric A.; Carrillo, Jos\'e A., Loss, Michael {\it Hardy-Littlewood-Sobolev inequalities via fast diffusion flows}. Proc. Natl. Acad. Sci. USA {\bf 107} (2010), no. 46, 19696--19701.

    \noindent{[69]} Carlen, Eric A., Geronimo, Jeffrey S., Loss, Michael {\it On the Markov sequence problem for Jacobi polynomials}. Adv. Math. {\bf 226} (2011), no. 4, 3426--3466.

    Carlen, Eric; Carvalho, Maria C., Loss, Michael {\it Kinetic theory and the Kac master equation. Entropy and the quantum II},, 1-20, Contemp. Math., {\bf 552}, Amer. Math. Soc., Providence, RI, 2011.

    Blanchet, Adrien, Carlen, Eric A., Carrillo, Jos\'e A. {\it Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model}. J. Funct. Anal. {\bf 262} (2012), no. 5, 2142--2230.

    Carlen, Eric A., Orlandi, Enza {\it Stability of planar fronts for a non-local phase kinetics equation with a conservation law in D=2,3}. Rev. Math. Phys. {\bf 24} (2012), no. 4, 1250009, 84 pp.

    Carlen, Eric A., Lieb, Elliott H. {\it Bounds for entanglement via an extension of strong subadditivity of entropy}. Lett. Math. Phys. {\bf 101} (2012), no. 1, 1--11

    Carlen, E. A., Esposito, R.; Lebowitz, J. L.; Marra, R. {\it Mesoscopic analysis of droplets in lattice systems with long-range Kac potentials}. Acta Appl. Math. {\bf 123} (2013), 221–237

    Carlen, Eric A., Figalli, Alessio {\it Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation}. Duke Math. J. {\bf 162} (2013), no. 3, 579–625

    Carlen, Eric; Degond, Pierre; Wennberg, Bernt {\it Kinetic limits for pair-interaction
    driven master equations and biological swarm models}, Math. Models Methods Appl. Sci. {\bf 23} (2013), no. 7, 1339–1376.

    Carlen, Eric A.; Cordero-Erausquin, Dario; Lieb, Elliott H. {\it Asymmetric covariance estimates of Brascamp-Lieb type and related inequalities for log-concave measures},
    Ann. Inst. Henri Poincaré Probab. Stat. {\bf 49} (2013), no. 1, 1–12.

    Carlen, Eric A.; Lebowitz, Joel L.; Lieb, Elliott H. {\it On an extension problem for density matrices}. J. Math. Phys. {\bf 54} (2013), no. 6, 062103, 9 pp.

    Eric A. Carlen, Katy Craig, {\it Contraction of the proximal map and generalized convexity of the Moreau-Yosida regularization in the 2-Wasserstein metric}, Math. Mech. of Complex Sys. {\bf 1}, (2013) 33-66

    Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael; {\it Spectral gap for the Kac model with hard sphere collisions}. J. Funct. Anal. {\bf 266} (2014), no. 3, 1787-1832

    Eric A. Carlen, Rupert L. Frank, Elliott H. Lieb, {\it Stability estimates for the lowest eigenvalue of a Schrödinger operator}, Geom and Functional Analysis, {\bf 24}, (2014) 63-84

    F. Bonetto, E. A. Carlen, R. Esposito, J. L. Lebowitz, R. Marra, {\it Propagation of Chaos for a Thermostated Kinetic Model},
    J. Stat. Phys. {\bf 154} (2014) 265-285

    Eric A. Carlen, Elliott H. Lieb, {\it Remainder terms for some quantum entropy inequalities}, J. Math. Phys., {\bf 55}, (2014) 042201


    Eric A. Carlen and Jan Maas, {\it An Analog of the 2-Wasserstein Metric in Non-commutative Probability under which the Fermionic Fokker-Planck Equation is Gradient Flow for the Entropy}, to appear in Comm. Math. Phys.

    Eric A. Carlen and Suleyman Ulusoy {\it Localization smoothness and convergence to equilibrium for a thin film equation}, to appear in Disc. and Cont. Dynamical Systems, {\bf 34}, 11, (2014)


    E.A. Carlen, E.H. Lieb, {\it Entropy and entanglement bounds for reduced density matrices of fermionic states}, submitted to Comm. Math. Phys.

    E.A. Carlen, D. Mustafa, B. Wennberg, {\it Propagation of chaos for the thermostatted Kac master equation},

    E.A. Carlen, M.C. Carvalho, Pierre Degond, B. Wennberg, {\it A Boltzmann model for rod alignment and schooling fish},
    arXiv:1404.3086. Submitted to Nonlinearity.


Comunicações orais por convite

<br>{(1)} September 1984, First BiBoS Symposium on Stochastic Processes in Mathematics<br>and Physics. <br><br><br>{(2)} June 24-29 1985, Ascona Conference on Stochastic Processes in Classical and<br>Quantum Systems.<br><br><br>{(3)} August 4-8 1986, Swansea Conference on Stochastic Mechanics and <br>Stochastic Processes.<br><br>{(4)} August 1987, Warwick Summer Stochastics Meeting.<br><br>{(5)} January 13-27 1988, XXIV Karpac Winter School of Theoretical Physics.<br><br>{(6)} June 1988, Ascona Conference on Probabilistic and Geometric Methods in <br>Mathematical Physics. <br><br>{(7)} July 17-27 1988, IXth International Congress on Mathematical Physics.<br><br> <br>{(8)} July 9-15 1989, Bielefeld Conference on White Noise Analysis: Mathematics and<br>Applications. <br><br>{(9)} October 1989, Northwestern Probability Conference at Northwestern University.<br><br>{(10)} March 1990, Manhattan, Kansas A.M.S. regional meeting.<br><br>{(11)} July 1990, Durham L.M.S. Symposium on Stochastic Analysis.<br><br>{(12)} January 1991 San Francisco A.M.S. meeting.<br><br>{(13)} May 1991 Sienna Conference on Probabilistic Methods in Mathematical Physics.<br><br>{(14)} June 1991 Ascona-Locarno Conference on Stochastic Processes,<br>Geometry and Physics<br><br>{(15)} March 1992 Georgia Tech-UAB Conference on Mathematical Physics<br><br>{(16)} April 1992 Rapallo Conference on Non-linear Kinetic Theories and<br>Mathematical Aspects of Hyperbolic Systems<br><br>{(17)} September 1992 MSI-Cornell University Workshop on Stochastic Analysis<br><br>{(18)} March 1993, I.H.E.S. meeting on non-equilibrium statistical mechanics.<br><br>{(19)} May 19-22 1993 Capri conference, "Advances in dynamical systems and<br>quantum physics."<br><br>{(20)} Sept. 13-18 1993 Toulouse probability conference "Journees de ProbabilitÈs".<br><br>{(21)} January 1994 Stochastic Analysis section of the AMS National Meeting.<br><br>{(22)} March 1994 Manhattan, Kansas AMS Regional Meeting, Nonlinear analysis.<br><br>{(23)} September 1994 San Remo Meeting on Kinetic Theory and Hyperbolic Systems.<br><br>{(24)} May 1995 Cortona Meeting on optimal control, information theory and statistical<br>mechanics.<br><br>{(25)} November 1994, Norbert Weiner Centenial Conference at Michigan State<br>University.<br><br>{(26)} January 3--15 1995 Princeton, Institute for Advanced study Semester Series on<br>Kinetic Theory, organized by David Levermore<br><br>{(27)} May 1995, Plenary Talk at the Rutgers Statistical Mechanics Meeting.<br><br>{(28)} January 1994 Stochastic Analysis section of the AMS National Meeting.<br><br>{(29)} July 1995, Bielefeld Conference on Stochastic Analysis and Mathematical<br>Physics, organized by Albeverio and Rockner.<br><br>{(30)} December 1995, Guanajuato, Mexico, Joint meeting of the MMS and AMS.<br><br>{(31)} May 1996: MSRI Berkeley. Meeting on Convex Geometry and Geometric <br>Functional Analysis.<br><br>{(32)} October 1996, Lawrenceville NJ AMS Regional Meeting, Geometric Analysis<br>and PDE section, organized by Tom Bransson.<br><br>{(33)} May 1997, Barri, Italy, IWASCOM97.<br><br>{(34)} April 1998, Philadelphia PA, AMS Regional Meeting, Heat Kernel Analysis,<br>organized by Gross and Hijab.<br><br>{(35)} April 1998, Paris IHP, lecture on non-commutative logarithmic Sobolev<br>inequalities.<br><br>{(36)} May 1998, Paris IHP, lecture on applications of logarithmic Sobolev to kinetic<br>theory.<br><br>{(37)} May 1998, Rutgers NJ, Plenary Lecture in the Spring 1998 Statistical Mechanics<br>Meeting.<br><br>{(38)} July 1998, Maui, HI, Plenary lecture at MAFPD conference.<br><br>{(39)} October 1998, Vienna Austria, lecture at the Schroedinger Institute at a <br>conference on Kinetic Theory.<br><br>{(40)} September 1999, Ascona Switzerland, lecture at the meeting on stochastic<br>analysis organized by F. Russo.<br><br>{(41)} December 1999, Oberwolfach Germany, lecture at the meeting on kinetic<br>theory organized by Cercignani and Blatt.<br><br>{(42)} February 2000, Invited Lecture at IHES Semester on Statistical Mechanics,<br>organized by Joel Lebowitz.<br><br>{(43)} May 2000, Siena, Italy, invited lecture at 70th Birthday Conference for Joel<br>Lebowitz<br><br>{(44)} October 2000, Blacksburg, VA, Plenary Speaker at SEARCDE Meeting.<br><br>{(45)} July 2000, Puerto Rico, invited lecture in session on Kinetic Theory and Transport,<br>at SIAM national Meeting.<br><br>{(46)} November 2000, Courant Institute, NY, invited lecture at 60th Birthday<br> Conference for Stroock and Varadhan.<br> <br>{(47)} June 2001, Renyi Institute, Budapest, <br>Invited lecture athe conference celbrating 50 years of the Renyi Institute.<br> <br> <br>{(48)} June 2002 Porto Ercole, Italy: Invited to give a course of 12 hours of lectures on<br>probabilistic methods in kinetic theory at the Porto Ercole Summer School.<br><br>{(49)} July 2002, Vienna, Invited lecture at the conference in honor of <br>Elliott Lieb\'s 70th birthday.<br><br><br>{(50)} February 2003, Rutgers, Invited mathematical physics lecture.<br><br>{(51)} May 2003, Lyon, Hypathie Lecture Series at the E.N.S. This is a lecture series <br>features just two speakers for three lectures each. It is attended by mathematicans from all over France, and some from beyond.<br>This time it was myself and Cedric Villani.<br><br><br>{(52)} May 2003, Rome, A conference on Statistical Mechanics held at the <br>Academia Nazionale dei Lince, with a small number of speakers from all over the world<br>giving two 45 minute lectures each.<br><br>{(53)} June 2003, Lyon, Probability seminar at the E.N.S.<br><br><br>{(54)} July 2003, Lisbon, Plenary Speaker at the International Congress of Mathematical Physics<br>(Held every three years, top conference in the field).<br><br><br>{(55)} September 2003, Bloomington. Colloquium at Indiana University.<br><br><br><br>{(56)} October 2003, Pisa, Invited lecturer at a weeklong international meeting on mass <br>transport and applications at the E.N.S. Pisa.<br><br><br>{(57)} February 2004, Rutgers, Invited mathematical physics lecture.<br><br>{(58)} May 2004, Analysis Seminar, University of Pavia <br><br>{(59)} November 2004, Iowa State University, Colloquium <br><br>{(60)} December 2004, Invited Session Lecture at the SIAM PDE meeting in Houston <br><br>{(61)} January 2005, I.H.E.S ., Lecture for Groupe de Travial in Statistical mechanics <br><br>{(62)} February 2005, Analysis–Probability seminar at Northwestern University <br><br>{(63)} April 2005, Analysis Seminar at University of Paris VI. <br><br>{(64)} April 2005, Probability Seminar at University of Paris XI I I. <br><br>{(65)} April 2005, PDE Seminar at E.N.S. Paris <br><br>{(66)} May 2005, Invited Lecture at a conference on Kinetic Theory in Mantova <br><br>{(67)} May 2005, Mathematics Colloquium at Technical University, Lisbon <br><br>{(68)} June 2005, Invited Lecture at Fejer–Riesz Conference in Eger, Hungary <br><br>{(69)} June 2005, Analysis Lecture at University of Lisbon <br><br>{(70)} June 2005, Invited Session Lecture in Mathematic al Physics at the Mainz joint meeting of the American and German mathematical societies . <br><br>{(71)} July 2005, Invited Lecture at an international conference on Mass Transportation at the ICM in Edinburgh <br><br>{(72)} September 2005, Mathematical Physics seminar a Rutgers<br><br>{(73)} November 2005, Lecture at the Oberwolfach meeting "Heat Kernels and Functional Inequalities"<br> <br> <br>