Staff profile

• Applied Analysis
• Applied Probability
• Functional Inequalities
• Interpolation Theory
• Optimal Transportation
• PDEs
• Semigroup Theory
• Spectral Theory

Conference Paper

• The Entropic journey of Kac's Model
  
  Einav, A. (2024). The Entropic journey of Kac’s Model. In E. Carlen, P. Gonçalves, & A. J. Soares (Eds.), From Particle Systems to Partial Differential Equations. Springer. https://doi.org/10.1007/978-3-031-65195-3_4

Journal Article

• Convergence to equilibrium for a degenerate McKean-Vlasov Equation
  
  Duong, M. H., & Einav, A. (2024). Convergence to equilibrium for a degenerate McKean-Vlasov Equation. Journal of Mathematical Physics, 65(12). https://doi.org/10.1063/5.0170283
• The Emergence of Order in Many Element Systems
  
  Einav, A. (2024). The Emergence of Order in Many Element Systems. Journal of Statistical Physics, 191(7), Article 86. https://doi.org/10.1007/s10955-024-03307-7
• Quantitative Dynamics of Irreversible Enzyme Reaction-Diffusion Systems
  
  Braukhoff, M., Einav, A., & Quoc Tang, B. (2022). Quantitative Dynamics of Irreversible Enzyme Reaction-Diffusion Systems. Nonlinearity, 35(4), Article 1876. https://doi.org/10.1088/1361-6544/ac4d84
• Large Time Convergence of the Non-homogeneous Goldstein-Taylor Equation
  
  Arnold, A., Einav, A., Signorello, B., & Wöhrer, T. (2021). Large Time Convergence of the Non-homogeneous Goldstein-Taylor Equation. Journal of Statistical Physics, 182(2), Article 41. https://doi.org/10.1007/s10955-021-02702-8
• Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems
  
  Einav, A., Morgan, J. J., & Tang, B. Q. (2020). Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems. SIAM Journal on Mathematical Analysis, 52(5), 4314–4361. https://doi.org/10.1137/20m1319930
• Weak Poincaré Inequalities in the Absence of Spectral Gaps
  
  Ben-Artzi, J., & Einav, A. (2020). Weak Poincaré Inequalities in the Absence of Spectral Gaps. Annales Henri Poincaré, 21(2), 359–375. https://doi.org/10.1007/s00023-019-00858-4
• Interpolation of weighted Sobolev spaces
  
  Cwikel, M., & Einav, A. (2019). Interpolation of weighted Sobolev spaces. Journal of Functional Analysis, 277(7), 2381-2441. https://doi.org/10.1016/j.jfa.2018.11.008
• Uniform moment propagation for the Becker--Döring equations
  
  Cãnizo, J. A., Einav, A., & Lods, B. (2018). Uniform moment propagation for the Becker--Döring equations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 149(4), 995-1015. https://doi.org/10.1017/prm.2018.99
• On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials
  
  Cañizo, J. A., Einav, A., & Lods, B. (2018). On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials. Journal of Mathematical Analysis and Applications, 462(1), 801-839. https://doi.org/10.1016/j.jmaa.2017.12.052
• Entropy production inequalities for the Kac Walk
  
  A. Carlen, E., C. Carvalho, M., & Einav, A. (2018). Entropy production inequalities for the Kac Walk. Kinetic & Related Models, 11(2), 219-238. https://doi.org/10.3934/krm.2018012
• On the rates of decay to equilibrium in degenerate and defective Fokker–Planck equations
  
  Arnold, A., Einav, A., & Wöhrer, T. (2018). On the rates of decay to equilibrium in degenerate and defective Fokker–Planck equations. Journal of Differential Equations, 264(11), 6843-6872. https://doi.org/10.1016/j.jde.2018.01.052
• Trend to equilibrium for the Becker–Döring equations : an analogue of Cercignani’s conjecture
  
  Cañizo, J., Einav, A., & Lods, B. (2017). Trend to equilibrium for the Becker–Döringequations : an analogue of Cercignani’s conjecture. Analysis and PDE, 10(7), 1663–1708. https://doi.org/10.2140/apde.2017.10.1663
• On the Subadditivity of the Entropy on the Sphere
  
  Einav, A. (2016). On the Subadditivity of the Entropy on the Sphere. Journal of Geometric Analysis, 26(4), 3098–3128. https://doi.org/10.1007/s12220-015-9664-9
• On the Cauchy Problem for the Homogeneous Boltzmann–Nordheim Equation for Bosons: Local Existence, Uniqueness and Creation of Moments
  
  Briant, M., & Einav, A. (2016). On the Cauchy Problem for the Homogeneous Boltzmann–Nordheim Equation for Bosons: Local Existence, Uniqueness and Creation of Moments. Journal of Statistical Physics, 163(5), 1108–1156. https://doi.org/10.1007/s10955-016-1517-9
• Chaos and entropic chaos in Kac's model without high moments
  
  Carrapatoso, K., & Einav, A. (2013). Chaos and entropic chaos in Kac’s model without high moments. Electronic Journal of Probability, 18, 1-38. https://doi.org/10.1214/ejp.v18-2683
• A few ways to destroy entropic chaoticity on Kac’s Sphere
  
  Einav, A. (2013). A few ways to destroy entropic chaoticity on Kac’s Sphere. Communications in Mathematical Sciences, 12(1), 41-60. https://doi.org/10.4310/cms.2014.v12.n1.a3
• A Counter Example to Cercignani’s Conjecture for the d Dimensional Kac Model
  
  Einav, A. (2012). A Counter Example to Cercignani’s Conjecture for the d Dimensional Kac Model. Journal of Statistical Physics, 148(6), 1076–1103. https://doi.org/10.1007/s10955-012-0565-z
• Sharp trace inequalities for fractional Laplacians
  
  Einav, A., & Loss, M. (2012). Sharp trace inequalities for fractional Laplacians. Proceedings of the American Mathematical Society, 140(12). https://doi.org/10.1090/s0002-9939-2012-11380-2
• On Villani's conjecture concerning entropy production for the Kac Master equation
  
  Einav, A. (2011). On Villani’s conjecture concerning entropy production for the KacMaster equation. Kinetic & Related Models, 4(2), 479-497. https://doi.org/10.3934/krm.2011.4.479