Results 71 to 80 of about 120 (120)

On the critical exponents of generalized ballot sequences in three dimensions and large tandem walks. [PDF]

Aequ Math, 2022
Wallner M.
europepmc   +1 more source

Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants [PDF]

In the combinatorial theory of continued fractions, the Foata-Zeilberger bijection and its variants have been extensively used to derive various continued fractions enumerating several (sometimes infinitely many) simultaneous statistics on permutations ...
Deb, Bishal
core   +1 more source

An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process. [PDF]

Probab Theory Relat Fields, 2023
Assaf E, Buckley J, Feldheim N.
europepmc   +1 more source

Melham's conjecture on odd power sums of fibonacci numbers

, 2016
Ozeki and Prodinger showed that the odd power sum of the first several consecutive Fibonacci numbers of even order is equal to a polynomial evaluated at a certain Fibonacci number of odd order. We prove that this polynomial and its derivative both vanish
Xie, Matthew H.Y., Sun, Brian Y., Yang, Arthur L.B.   +2 more
core  

Invariant cubature formulae for spheres and balls by combinatorial methods

, 2008
. Invariant cubature formulae for a class of weight functions on the simplex T d are derived using combinatorial methods, extending the formulae in [Grundmann and Möller, SIAM J. Numer Anal., 15 (1978), pp.
Sangwoo Heo, Yuan Xu
core  

Skeletal generalizations of chip-firing games, parking functions, and Dyck paths

For \(0\leq k\leq n-1\), we introduce a family of \(k\)-skeletal paths which are counted by the \(n\)th Catalan number for each \(k\), and specialize to Dyck paths when \(k=n-1\).
Backman, Spencer, Loehr, Nicholas A., Warrington, Gregory S., O'Connor, Mazie, Charbonneau, Cole, Mullins, Patrick   +5 more
core   +1 more source

Generalizations of two identities of Guo and Yang

, 2018
In this paper, we provide generalizations of two identities of Guo and Yang [2] for the q-binomial coefficients. This approach allows us to derive new convolution identities for the complete and elementary symmetric functions.
Merca, Mircea
core  

and

, 2010
. A centrosymmetric permutation is one which is invariant under the reversecomplement operation, or equivalently one whose associated standard Young tableaux under the Robinson-Schensted algorithm are both invariant under the Schützenberger involution ...
Matteo Silimbani, Mark F. Flanagan
core  

Free fermionic probability theory and k-theoretic schubert calculus

Forum of Mathematics, Sigma
For each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw   +2 more
doaj   +1 more source

Bounded Littlewood identity related to alternating sign matrices

Forum of Mathematics, Sigma
An identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
doaj   +1 more source