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The Expected Order of Saturated RNA Secondary Structures
Horton-Strahler number generating function Hankel contour Transfer Theorem singularity analysis
2011/9/9
Abstract: We show the expected order of RNA saturated secondary structures of size $n$ is $\log_4n(1+O(\frac{\log_2n}{n}))$, if we select the saturated secondary structure uniformly at random. Further...
Nice labeling problem for event structures: a counterexample
Nice labeling problem counterexample Combinatorics
2011/8/26
Abstract: In this note, we present a counterexample to a conjecture of Rozoy and Thiagarajan from 1991 (called also the nice labeling problem) asserting that any (coherent) event structure with finite...
$R$-matrices and Hamiltonian Structures for Certain Lax Equations
R-matrix Hamiltonian structure two-component BKP hierarchy
2010/12/28
In this paper R-matrices on a certain class of coupled Lie algebras are obtained.With one of these R-matrices, we construct infinitely many bi-Hamiltonian structures for both the two-component BKP hie...
$R$-matrices and Hamiltonian Structures for Certain Lax Equations
R-matrix Hamiltonian structure two-component BKP hierarchy
2011/3/4
In this paper R-matrices on a certain class of coupled Lie algebras are obtained.With one of these R-matrices, we construct infinitely many bi-Hamiltonian structures for both the two-component BKP hie...
The notion of exponential Dowling structures is introduced, generalizing Stanley’s original theory of exponential structures. Enumerative theory is developed to determine the M¨obius function of expon...