309 citations
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Showing 2012 · math.PRShow all
2 papers · 2 filters
math.PR2012★ 5 cited
Harnack Inequalities for Stochastic (Functional) Differential Equations with Non-Lipschitzian Coefficients
Jinghai Shao, Feng-Yu Wang, Chenggui Yuan
By using coupling arguments, Harnack type inequalities are established for a class of stochastic (functional) differential equations with multiplicative noises and non-Lipschitzian…
math.PR2012★ 7 cited
A quantum Mermin--Wagner theorem for quantum rotators on two--dimensional graphs
Mark Kelbert, Yurii Suhov
This is the first of a series of papers considering symmetry properties of quantum systems over 2D graphs or manifolds, with continuous spins, in the spirit of the Mermin--Wagner t…