Moment problems and boundaries of number triangles
Alexander Gnedin, Jim Pitman
TL;DR
This paper explores the boundary problem for generalized Pascal-like graphs, linking it to a backward moment problem of Hausdorff type, to understand the structure and limits of such number triangles.
Contribution
It establishes a connection between boundary problems of number triangles and Hausdorff moment problems, providing new insights into their structure and boundary characterization.
Findings
Characterization of boundaries for generalized Pascal graphs
Connection established between boundary problems and Hausdorff moment problems
New methods for analyzing number triangles with multiplicities
Abstract
The boundary problem for graphs like Pascal's but with general multiplicities of edges is related to a `backward' problem of moments of the Hausdorff type.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Markov Chains and Monte Carlo Methods · Computational Geometry and Mesh Generation