A list of my publications is provided below. Clicking on the name of the paper will direct you to it or to its Arxiv version if no online version is currently available.
- Quantitative Dynamics of Irreversible Enzyme Reaction-Diffusion Systems. Submitted (joint work with Marcel Braukhoff and Bao Quoc Tang).
- Large Time Convergence of the Non-Homogeneous Goldstein-Taylor Equation. J. Stat. Phys., 182 (2021), No. 41 (Joint work with Anton Arnold, Beatrice Signorello and Tobias Wöhrer).
- Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems. SIAM J. Math. Anal., 52 (2020), No. 2, 4314–4361 (Joint work with Jeff Morgan and Bao Quoc Tang)
- Weak Poincaré Inequalities in the Absence of Spectral Gaps. Ann. Henri Poincaré, 21 (2020), 359–375 (Joint work with Jonathan Ben-Artzi).
- Interpolation of Weighted Sobolev Spaces. J. Funct. Anal., 277 (2019), No. 7, 2381–2441 (Joint work with Michael Cwikel).
- Uniform Moments Propagation for the Becker-Döring Equations. Proc. Roy. Soc. Edinburgh Sect. A, 149 (2019), No. 14, 995–1015 (Joint work with José A. Cañizo and Bertrand Lods).
- On the Rate of Convergence to Equilibrium for the Linear Boltzmann Equation with Soft Potentials. J, Math. Anal. Appl., 462 (2018), No. 1, 801–839 (Joint work with José A. Cañizo and Bertrand Lods).
- On the Rate of Decay to Equilibrium in Degenerate and Defective Fokker-Planck Equations. J. Differential Equations, 264 (2018), No. 11, 6843–6872 (Joint work with Anton Arnold and Tobias Wöhrer).
- Entropy Production Inequalities for the Kac Walk. Kinet. Rel. Mod., 11 (2018), No. 2, 219–238 (Joint work with Eric Carlen and Maria Carvalho).
- Trend to Equilibrium for the Becker-Döring Equations: An Analogue of Cercignani’s Conjecture. Anal. PDE, 10-7 (2017), 1663–1708. DOI 10.2140/apde.2017.10.1663 (Joint work with José A. Cañizo and Bertrand Lods).
- On the Subadditivity of the Entropy on the Sphere, J. Geom. Anal. 26 (2016), No. 4, 3098–3128.
- On the Cauchy Problem for the Homogeneous Boltzmann-Nordheim Equation for Bosons, J. Stat. Pays. 163 (2016), No. 5, 1108–1156 (joint work with Marc Briant).
- Chaos and Entropic Chaos in Kac’s Model Without High Moment, Electron. J. Probab. 18 (2013), No. 78, 1–38 (joint work with Kleber Carrapatoso).
- A Few Ways to Destroy Entropic Chaoticity on Kac’s Sphere, Comm. Math. Sci. 12 (2014), No. 1, 41–60.
- A Counter Example to Cercignani’s Conjecture for the d Dimensional Kac Model, J. Stat. Phys., 148 (2012), No. 6, 1076-1103.
- Sharp Trace Inequalities for the Fractional Laplacian, Proc. Amer. Math. Soc., 140 (2012), No. 12, 4209–4216 (Jointly with Michael Loss).
- On Villani’s Conjecture Concerning Entropy Production for the Kac Master Equation, Kinet. Rel. Mod, 4 (2011), No. 2, 479-497.
A link to my ArXiv page can be found here.