Characteristic polynomials of chemical graphs via symmetric function theory

1986 ◽  
Vol 69 (1) ◽  
pp. 35-39 ◽  
Author(s):  
Richard Barakat
Keyword(s):  
Symmetric Function ◽  
Function Theory ◽  
Characteristic Polynomials ◽  
Chemical Graphs

scholarly journals Symmetric function theory and unitary invariant ensembles

2021 ◽  
Vol 62 (9) ◽  
pp. 093512
Author(s):  
Bhargavi Jonnadula ◽  
Jonathan P. Keating ◽  
Francesco Mezzadri
Keyword(s):  
Symmetric Function ◽  
Function Theory

scholarly journals Axioms for Shifted Tableau Crystals

10.37236/8033 ◽  
2019 ◽  
Vol 26 (2) ◽  
Author(s):  
Maria Gillespie ◽  
Jake Levinson
Keyword(s):  
Symmetric Function ◽  
Function Theory ◽  
Type A ◽  
Axiomatic Characterization ◽  
New Method ◽  
Shifted Tableaux

We give local axioms that uniquely characterize the crystal-like structure on shifted tableaux developed by the authors and Purbhoo. These axioms closely resemble those developed by Stembridge for type A tableau crystals. This axiomatic characterization gives rise to a new method for proving and understanding Schur $Q$-positive expansions in symmetric function theory, just as the Stembridge axiomatic structure provides for ordinary Schur positivity.

Brownian motion with quadratic killing and some implications

1986 ◽  
Vol 23 (04) ◽  
pp. 893-903 ◽  
Author(s):  
Michael L. Wenocur
Keyword(s):  
Brownian Motion ◽  
Weibull Distribution ◽  
Special Function ◽  
Function Theory ◽  
Killing Rate

Brownian motion subject to a quadratic killing rate and its connection with the Weibull distribution is analyzed. The distribution obtained for the process killing time significantly generalizes the Weibull. The derivation involves the use of the Karhunen–Loève expansion for Brownian motion, special function theory, and the calculus of residues.

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