Blumenthal, Alex

1. Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations
   2019/05/09 by Bedrossian, Jacob, Blumenthal, Alex, Punshon-Smith, Samuel · 6 citations
   #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Probability (math.PR)
2. Exponential mixing for random dynamical systems and an example of Pierrehumbert
   2022/04/28 by Alex Blumenthal, Michele Coti Zelati, Blumenthal, Alex +3 · 7 citations
   Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics
3. The Batchelor spectrum of passive scalar turbulence in stochastic fluid mechanics at fixed Reynolds number
   2019/11/25 by Jacob Bedrossian, Alex Blumenthal, Bedrossian, Jacob +3 · 5 citations
   Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Probability (math.PR) #Stochastic processes and financial applications
4. Lagrangian chaos and scalar advection in stochastic fluid mechanics
   2018/09/18 by Bedrossian, Jacob, Blumenthal, Alex, Punshon-Smith, Samuel · 4 citations
   #Analysis of PDEs (math.AP) #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Probability (math.PR)
5. On the norm equivalence of Lyapunov exponents for regularizing linear evolution equations
   2022/07/29 by Blumenthal, Alex, Punshon-Smith, Sam · 2 citations
   #35G05 (Secondary) #35Q35 (Secondary) #35R60 (Secondary) #37D25 (Secondary) #37H15 (Primary) #37L30 (Primary) #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics
6. Characterization of dominated splittings for operator cocycles acting on Banach spaces
   2015/12/23 by Blumenthal, Alex, Morris, Ian D. · 1 citation
   #37D30 #37H15 (Primary) #46B20 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics
7. Sparsity of Fourier mass of passively advected scalars in the Batchelor regime
   2024/10/07 by Blumenthal, Alex, Huynh, Manh Khang · 1 citation
   #37A25 #37D20 #76F20 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics
8. Detecting random bifurcations via rigorous enclosures of large deviations rate functions
   2024/08/22 by Alexandra Blessing, Alex Blumenthal, Blessing, Alexandra +5 · 1 citation
   Economics, Econometrics and Finance · #37H15 #37H20 #60F10 #68V99 #Dynamical Systems (math.DS) #FOS: Mathematics #Financial Risk and Volatility Modeling #Probability (math.PR)