12 citations · 82 across the 32 of their papers we have counts for
Showing 2015Show all
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math-ph2015★ 5 cited
Stochastic variational principles for dissipative equations with advected quantities
Xin Chen, Ana Bela Cruzeiro, Tudor S. Ratiu
This paper presents symmetry reduction for material stochastic Lagrangian systems with advected quantities whose configuration space is a Lie group. Such variational principles yie…
math.PR2015★ 1 cited
Intrinsic Ultracontractivity for General Lévy processes on Bounded Open Sets
Xin Chen, Jian Wang
We prove that a general (not necessarily symmetric) Lévy process killed on exiting a bounded open set (without regular condition on the boundary) is intrinsically ultracontractive,…
cs.SC2015★ 4 cited
Output-sensitive algorithms for sumset and sparse polynomial multiplication
Andrew Arnold, Daniel S. Roche
We present randomized algorithms to compute the sumset (Minkowski sum) of two integer sets, and to multiply two univariate integer polynomials given by sparse representations. Our…