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Showing 1 to 4 of 4 for “"Bakry-Emery"”.
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N-Bakry Emery Ricci Curvature & N-Quasi Einstein Metrics
… the non-geometer. We give a description of the N-Bakry- Émery Ricci curvature and the N-quasi Einstein metric. The main results in this thesis are related to the N-Bakry-Émery Ricci curvature and the N-quasi Einstein metric.</p> <p>Our first set of main results are as follows. We generalize …
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N-bakry Emery Ricci Curvature & N-quasi Einstein Metrics
… the non-geometer. We give a description of the N-Bakry- Émery Ricci curvature and the N-quasi Einstein metric. The main results in this thesis are related to the N-Bakry-Émery Ricci curvature and the N-quasi Einstein metric.</p><p>Our first set of main results are as follows. We generalize …
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Noncommutative Sobolev type inequalities
… (quantum) settings. We establish the abstract Bakry-\'Emery criterion for the operator-valued $f$-Sobolev inequalities on the derivation triple. We recapture the celebrated Bakry-\'Emery theorem for operator-valued functions on Riemannian manifolds. We discuss examples including noncommutative …
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Relaxation to equilibrium for kinetic Fokker-Planck equation
We want to study long-time behaviour of solutions $f_t$ of kinetic Fokker-Planck equation in $\mathbb{R}^d$, namely their convergence towards equilibrium $f_\infty$ in the form \[ \textrm{d}(f_t,f_\infty)\leq C_1 e^{-C_2 t}\textrm{d}(f_0,\mu) \] for appropriate distances $\textit{d}$ and constants …