EQUIVARIANT MAPPINGS - A NEW APPROACH IN STOCHASTIC SIMULATIONS

SCHINDLER, W (1994) EQUIVARIANT MAPPINGS - A NEW APPROACH IN STOCHASTIC SIMULATIONS. COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 4 (6). pp. 327-343. ISSN 0925-7721,

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Abstract

Stochastic simulations on manifolds usually are traced back to R(n) via charts. If a group G is acting on a manifold M and if the respective distribution v is invariant under this group action then in many cases of practical interest there exists a more convenient approach which uses equivariant mappings. The concept of equivariant mappings will be discussed intensively at the instance of the Grassmann manifold in which case G equals the orthogonal group. Further advantages of this concept will be demonstrated by applying it to a probabilistic problem from the field of combinatorical geometry.

Item Type: Article
Uncontrolled Keywords: ; STOCHASTIC SIMULATION; GROUP ACTION; INVARIANT MEASURE; GRASSMANN MANIFOLD; CHIROTOPE
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:39
URI: https://pred.uni-regensburg.de/id/eprint/52935

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