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The proposed approach globally searches the motion path space to identify feasible paths.
In our context, stochastic parallel transport provides a canonical moving frame on the path space.
In particular, Talagrand's inequality holds on the path space over a compact manifold.
The efficiency of this proposal is demonstrated using some measure of decorrelation in path space.
We shall consider on a Riemannian path space Pmo M) the Cruzeiro Malliavin's Markovian connection.
The Cruzeiro-Malliavin structure equation on the path space is crucial for us to obtain the energy inequality.
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An Indian Epic Something like the same mortal-to-divine dynamic embodied in the person of Guo Ziyi also animates the vivid exhibition called "Epic India: Scenes From the Ramayana," which has been installed in the Indian Painting Gallery, another off-the-path space that routinely holds ambitious collection shows.
Whole event: The set of whole events is the curvilinear-path space.
The extreme KMS states for this preferred dynamics are parameterised by the characters of an abelian group that captures the periodicity in the infinite-path space of the graph.
This measure is not normalized to unity because the curvilinear-path space Γ includes only paths with fixed end points; however, the quantum mechanical uncertainty relation precludes precise determination of an end point. .
Here γ + δ γ ( t ) denotes the sum of two vectors γ and δ γ, which are defined on M. The curvilinear path δ γ ( t ) = ( t ) is assumed to become an element of the curvilinear-path space, i.e., δ γ ( t ) ∈ C ∞.
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