| Journal article |
- Amorim, Érik; Carlen, Eric A.. "Complete positivity and self-adjointness". Linear Algebra and its Applications 611
(2021): 389-439. http://dx.doi.org/10.1016/j.laa.2020.10.038.
Published • 10.1016/j.laa.2020.10.038
- Carlen, Eric A; Jauslin, Ian; Lieb, Elliott H; Loss, Michael P. "On the Convolution Inequality f = f ¿ f". International
Mathematics Research Notices (2021): http://dx.doi.org/10.1093/imrn/rnaa350.
Published • 10.1093/imrn/rnaa350
- Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H.. "Analysis of a simple equation for the ground state energy of the Bose gas".
Pure and Applied Analysis 2 3 (2020): 659-684. http://dx.doi.org/10.2140/paa.2020.2.659.
Published • 10.2140/paa.2020.2.659
- Carlen, Eric; Carvalho, Maria; Loss, Michael. "Spectral gaps for reversible Markov processes with chaotic invariant measures:
The Kac process with hard sphere collisions in three dimensions". Annals of Probability 48 6 (2020): 2807-2844. http://dx.doi.org/10.1214/20-aop1437.
Published • 10.1214/20-aop1437
- Carlen, Eric A; Vershynina, Anna. "Recovery map stability for the data processing inequality". Journal of Physics A: Mathematical
and Theoretical 53 3 (2020): 035204. http://dx.doi.org/10.1088/1751-8121/ab5ab7.
Published • 10.1088/1751-8121/ab5ab7
- Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael P.. "Chaos, ergodicity, and equilibria in a quantum Kac model". Advances
in Mathematics 358 (2019): 106827. http://dx.doi.org/10.1016/j.aim.2019.106827.
Published • 10.1016/j.aim.2019.106827
- Carlen, Eric A.; Lieb, Elliott H.. "Some trace inequalities for exponential and logarithmic functions". Bulletin of Mathematical
Sciences 09 02 (2019): 1950008. http://dx.doi.org/10.1142/s1664360719500085.
Published • 10.1142/s1664360719500085
- Carlen, Eric A; Fröhlich, Jürg; Lebowitz, Joel; Wang, Wei-Min. "Quantitative bounds on the rate of approach to equilibrium
for some one-dimensional stochastic nonlinear Schrödinger equations". Nonlinearity 32 4 (2019): 1352-1374. http://dx.doi.org/10.1088/1361-6544/aae69c.
Published • 10.1088/1361-6544/aae69c
- Carlen, Eric A.; Lieb, Elliott H.. "A dual form of the sharp Nash inequality and its weighted generalization". Bulletin
of the London Mathematical Society 51 1 (2018): 129-144. http://dx.doi.org/10.1112/blms.12220.
Published • 10.1112/blms.12220
- Carlen, Eric A.; Vershynina, Anna. "Recovery and the Data Processing Inequality for Quasi-Entropies". IEEE Transactions
on Information Theory 64 10 (2018): 6929-6938. http://dx.doi.org/10.1109/tit.2018.2812038.
Published • 10.1109/tit.2018.2812038
- Carlen, E. A.; Esposito, R.; Lebowitz, J. L.; Marra, R.; Mouhot, C.. "Approach to the Steady State in Kinetic Models with
Thermal Reservoirs at Different Temperatures". Journal of Statistical Physics 172 2 (2018): 522-543. http://dx.doi.org/10.1007/s10955-018-2074-1.
Published • 10.1007/s10955-018-2074-1
- A. Carlen, Eric; C. Carvalho, Maria; Einav, Amit. "Entropy production inequalities for the Kac Walk". Kinetic & Related
Models 11 2 (2018): 219-238. http://dx.doi.org/10.3934/krm.2018012.
Published • 10.3934/krm.2018012
- Carlen, Eric A.; Maas, Jan. "Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance".
Journal of Functional Analysis 273 5 (2017): 1810-1869. http://dx.doi.org/10.1016/j.jfa.2017.05.003.
Published • 10.1016/j.jfa.2017.05.003
- Carlen, Eric A.. "A remainder term for Hölder’s inequality for matrices and quantum entropy inequalities". Archiv der Mathematik
109 4 (2017): 365-371. http://dx.doi.org/10.1007/s00013-017-1066-8.
Published • 10.1007/s00013-017-1066-8
- Carlen, Eric. "Duality and Stability for Functional Inequalities". Annales de la faculté des sciences de Toulouse Mathématiques
26 2 (2017): 319-350. http://dx.doi.org/10.5802/afst.1535.
Published • 10.5802/afst.1535
- Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael. "On a quantum entropy power inequality of Audenaert, Datta, and Ozols".
Journal of Mathematical Physics 57 6 (2016): 062203. http://dx.doi.org/10.1063/1.4953638.
Published • 10.1063/1.4953638
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