9 citations · 29 across the 25 of their papers we have counts for
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math.AP2019★ 9 cited
The Kinetic Fokker-planck Equation With Mean Field Interaction
Arnaud Guillin, Wei Liu, Liming Wu +1
We study the long time behaviour of the kinetic Fokker-Planck equation with mean field interaction, whose limit is often called Vlasov-Fkker-Planck equation. We prove a uniform (in…
math.PR2019
Uniform Poincar{é} and logarithmic Sobolev inequalities for mean field particles systems
Arnaud Guillin, Wei Liu, Liming Wu +1
In this paper we establish some explicit and sharp estimates of the spectral gap and the log-Sobolev constant for mean field particles system, uniform in the number of particles, w…
math.CA2019
Boundedness of variation operators associated with the heat semigroup generated by high order Schrödinger type operators
Suying Liu, Chao Zhang
In this paper, we derive the -boundedness of the variation operators associated with the heat semigroup which is generated by the high order Schrödinger type operator $(-Δ)^2+…