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math.PR2026
Anchored Nash inequalities and heat kernel bounds for a class of random conductance models with long-range jumps
Sebastian Andres, Xin Chen, Martin Slowik +1
We show anchored versions of the Nash inequality for discrete non-local divergence-form operators with degenerate weights. They allow to control the -norm of a function by D…
math.PR2026
A note on the equivalence of super-Poincaré inequality
Xin Chen, Qiuchen Yang
In this paper we will study the equivalence between super-Poincaré inequality and some log-Sobolev type inequalities, including weak log-Sobolev inequality and super log-Sobolev in…