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Showing 2020 · math.PRShow all
3 papers · 2 filters
math.PR2020★ 19 cited
Analytic theory of Itô-stochastic differential equations with non-smooth coefficients
Haesung Lee, Wilhelm Stannat, Gerald Trutnau
We present a detailed analysis of non-degenerate time-homogeneous Itô-stochastic differential equations with low local regularity assumptions on the coefficients. In particular the…
math.PR2020★ 8 cited
At the edge of a one-dimensional jellium
Djalil Chafaï, David García-Zelada, Paul Jung
We consider a one-dimensional classical Wigner jellium, not necessarily charge neutral, for which the electrons are allowed to exist beyond the support of the background charge. Th…
math.PR2020★ 1 cited
Heat kernel upper bounds for symmetric Markov semigroups
Zhen-Qing Chen, Panki Kim, Takashi Kumagai +1
It is well known that Nash-type inequalities for symmetric Dirichlet forms are equivalent to on-diagonal heat kernel upper bounds for the associated symmetric Markov semigroups. In…