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math.PR2012★ 23 cited
Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations
Yana A. Butko, René L. Schilling, Oleg G. Smolyanov
A Feynman formula is a representation of a solution of an initial (or initial-boundary) value problem for an evolution equation (or, equivalently, a representation of the semigroup…
math.PR2004★ 4 cited
Chernoff's Theorem and Discrete Time Approximations of Brownian Motion on Manifolds
O. G. Smolyanov, H. v. Weizsaecker, O. Wittich
Let (S(t)) be a one-parameter family S = (S(t)) of positive integral operators on a locally compact space L. For a possibly non-uniform partition of [0,1] define a measure on the p…