Semifinite harmonic functions on the direct product of graded graphs
Pavel Nikitin, Nikita Safonkin
TL;DR
This paper classifies indecomposable semifinite harmonic functions on the direct product of graded graphs, including a complete list of indecomposable traces for the infinite inverse symmetric semigroup.
Contribution
It provides a comprehensive classification of semifinite harmonic functions on complex graph structures, extending understanding in the field.
Findings
Classification of indecomposable semifinite harmonic functions
Complete list of indecomposable traces for the infinite inverse symmetric semigroup
Extension of harmonic function theory to product of graded graphs
Abstract
Indecomposible semifinite harmonic functions on the direct product of graded graphs are classified. As a particular case, the full list of indecomposible traces for the infinite inverse symmetric semigroup is obtained.
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Taxonomy
TopicsGraph theory and applications · Spectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering