Felix Otto - Selected Publications#

These three papers [1 - 3] are the most cited ones of Felix Otto and are at the origin of what the Fields Medalist Cedric Villani calls Otto Calculus.

[1] Otto, Felix:
The geometry of dissipative evolution equations: the porous medium equation.
Comm. Partial Differential Equations 26 (2001), no. 1-2, 101–174.

[2] Jordan, Richard; Kinderlehrer, David; Otto, Felix:
The variational formulation of the Fokker-Planck equation.
SIAM J. Math. Anal. 29 (1998), no. 1, 1–17.

[3] Otto, Felix; Villani, Cedric:
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality.
J. Funct. Anal. 173 (2000), no. 2, 361–400.

This paper [4] received the Keith medal.
[4] DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix:
A compactness result in the gradient theory of phase transitions.
Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), no. 4, 833–844.

[5] Kohn, Robert V.; Otto, Felix:
Upper bounds on coarsening rates.
Comm. Math. Phys. 229 (2002), no. 3, 375–395.

[6] Steiner, Jutta; Wieczoreck, Holm; Schäfer, Rudolf; McCord, Jeffrey; Otto, Felix:
The Formation and Coarsening of the Concertina Pattern.
Phys. Rev. B 85 (10) (2012) 104407.

[7] Doering, Charles R.; Otto, Felix; Reznikoff, Maria G.:
Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh-Bénard convection.
J. Fluid Mech. 560 (2006), 229–241.

These three papers [8-10] started the field of a quantitative calculus in stochastic homogenization.
[8] Gloria, Antoine; Otto, Felix:
An optimal variance estimate in stochastic homogenization of discrete elliptic equations.
Ann. Probab. 39 (2011), no. 3, 779–856.

[9] Gloria, Antoine; Otto, Felix:
An optimal error estimate in stochastic homogenization of discrete elliptic equations.
Ann. Appl. Probab. 22 (2012), no. 1, 1–28.

[10] Gloria, Antoine; Neukamm, Stefan; Otto, F.elix:
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics.
Invent. Math. 199 (2015), no. 2, 455–515.