Báo cáo toán học: "Asymptotics of Some Convolutional Recurrences" pps
Báo cáo toán học: "Asymptotics of Some Convolutional Recurrences" pps
... (7)
the electronic journal of combinatorics 17 (2010), #R1 3
Asymptotics of Some Convolutional Recurrences
Edward A. Bender
∗
Department of Mathematics
University of California, San Diego
La ... a product of the r eciprocal of binomial
coefficients, which satisfies the conditions of Theorems 1 and 2. A more general case of
interest is when f(n, k) takes the fo rm of the pro...
Báo cáo toán học: " Asymptotics of Young Diagrams and Hook Numbers" potx
... We obtain some unexpected
arithmetic properties of the set of the hook numbers for some special families of
(fixed) skew-Young diagrams (Theorem1.2). The problem appeared in the study of
the hook ... various kinds of Young diagrams. The proof of 1.2 is based on
the properties of shifted Schur functions[Ok.Ol
]which appeared in the asymptotic
theory of the representation the...
Báo cáo toán học: " ASYMPTOTICS OF THE NUMBER OF k-WORDS WITH AN -DESCENT" pot
... in
columns. Let s
k
(λ) denote the number of such k-tableaux. It is well known that s
k
(λ)is
the degree of a corresponding irreducible character of GL(k, C) (or of SL(k, C)).
The numbers w(k, ; n) ... Young diagrams, Adv. in Math.
41 (1981), 115–136.
ASYMPTOTICS OF THE NUMBER OF
k-WORDS WITH AN -DESCENT
Amitai Regev
∗
Department of Mathematics
The Pennsylvania State Universit...
Báo cáo toán học: "Asymptotics of Permutations with Nearly Periodic Patterns of Rises and Falls" ppsx
... last claim in the theorem.
9 Proofs of Theorems 1 and 2
All mentions of Run(···) in Theorem 1 are divided by factorials and so can be thought of as
functions of the form f(∗, ∗,γ) according to ... electronic journal of combinatorics 10 (2003), #R40 10
Asymptotics of Permutations with
Nearly Periodic Patterns of Rises and Falls
Edward A. Bender
Department of Mathematics
Univers...
Báo cáo toán học: "Asymptotics of generating the symmetric and alternating groups" docx
... such that the parts of Π are the orbits of the group x, y generated by
x and y. Similarly let g
A
(Π) and g
S
(Π), respectively, be the number of pairs for which
the parts of Π are invariant ... .
the electronic journal of combinatorics 12 (2005), #R56 4
4 Generalization to more than two generators
In view of the theorem of M. Hall mentioned in Remark 3 there is some interes...
Báo cáo toán học: "Asymptotics of the average height of 2–watermelons with a wall" pps
... classical work of de Bruijn, Knuth and Rice (giving the asymp-
totics of the average height of Dyck paths of length n) to the case of p–watermelons
with a wall (i.e., to a certain family of p nonintersecting ... electronic journal of combinatorics 14 (2007), #R64 5
H(n, p) of p–watermelons of length n with a wall,
H(n, p) =
1
#(all p-watermelons of length n with a wall)
×...
Báo cáo toán học: "Asymptotics of coefficients of multivariate generating functions: improvements for smooth points" potx
... classes of series that
arise often in applications. In this article we further their program of asymptotics of
coefficients of multivariate generating functions.
Assume that in a neighbourhood of the ... O
n
p−1−(d−1)/2−N
,
as n → ∞, as desired.
The proof of Theorem 3.3 is similar but uses Theorem 6.2 instead of Theorem 6.1.
In the case of finitely minimal points of V we si...
Báo cáo toán học: " Generating of Minimal Unavoidable Sets" pps
... one left extension step of type L on x
k
in X;
R
k
: taking one right extension step of type R on x
k
in X;
LC
k
: cutting one letter on the left of x
k
in X by an action of type LC
k
;
RC
k
: ... Rab abba R4
Lab Rab abbba
Lab Rab bbbb
Generating of Minimal Unavoidable Sets 465
The proof of (c), (d), (e), (f) are similar.
We consider now some basic transformations on any finite...
Báo cáo toán học: " EVALUATION OF TRIPLE EULER SUMS" ppsx
... combination of products
of double and single Euler sums. The proof involves finding and solving linear equations
which relate the different types of sums to each other. We also sketch some applications
of ... expressed as a rational linear combination of products of single and double Euler
sums of weight n.
We define the weight of a product of Euler sums as the sum of the a...
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