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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 49 for “"generating functions"”.
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Generating functions and enumeration of sequences.
Thesis. 1977. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.
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W-operators and generating functions of hurwitz numbers
… As an application, we prove new formulas about generating functions of connected Hurwitz numbers and give topological recursion formulas for d-Hurwitz numbers.
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Polytopes, generating functions, and new statistics related to descents and inversions in permutations
… pairs are the same. We examine the generating functions involving alternating Eulerian polynomials, defined by analogy with the classical Eulerian polynomials ... using alternating descents. By looking at the number of alternating inversions in alternating (down-up) permutations, we …
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Discriminants: calculation, properties, and connection to the root distribution of polynomials with rational generating functions
… and the discriminant of the denominator of its generating function. A more specialized aspect of this area of this research concerns the root distribution and the generating functions of the discriminants of polynomials related to Chebyshev polynomials. Other areas involve the factorization …
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Combinatorics Of The Hermitian One-Matrix Model
… involving graphs embedded in Riemann surfaces. Generating functions for these graphs in the case of an even potential have been studied by many authors. The case of a cubic potential has also been studied. Using string equations, we construct "valence independent" formulas for map generating …
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Exact Solutions to Lattice Models of Polymer Adsorption
… solution method is to solve the recurrences with generating functions. Additionally, we may attempt to derive the partition function of the model, which explicitly provides the walk entropy per length. In this thesis, the solution to a variety of polymer models of adsorption are derived with …
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Counting coloured boxes
… conjecture of Kenyon/Szendroi by computing the generating function for pyramid partitions. Pyramid partitions are closely related to Aztec Diamonds; their generating function turns out to be the partition function for the Donaldson-Thomas theory of a non-commutative resolution of the conifold …
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Integer Compositions, Gray Code, and the Fibonacci Sequence
… combinatorics, Zeckendorf's Theorem, and generating functions.</p>
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Sidon Sets and Beatty Sequences
… the density of finite Sidon sets and the use of generating functions and symmetry groups in the analysis of Beatty sequences. This work is available free of charge in PDF and in Postscript format from the author at http://www.math.uiuc.edu/∼obryant.
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Topics in Combinatorics and Random Matrix Theory
… Following up on the appearance of determinantal generating functions in increasing subsequence type problems, we are led to a connection between combinatorics and the ensemble of truncated random unitary matrices, which we describe in terms of Fisher's random-turns vicious walker model from …
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Large-Scale Optimization Methods: Theory and Applications
… the MD method with non-differentiable distance generating functions. Finally, we introduce the continuous-time MD method with non-differentiable and non-strictly convex distance generating functions. We show the existence and convergence of the solutions generated by the MD method and establish …
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Discrete-time queueing models with priorities
… The analyses are heavily based on probability generating functions that allow us to calculate moments and tail probabilities of the system contents and packet delays of both classes. The results are applicable in heterogeneous telecommunication networks, when delay-sensitive traffic gets …
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Behavior of partition values modulo powers of primes
… central critical values of <italic>L</italic>-functions. </p> <p>Recent work of Folsom, Kent, and Ono reveals, for primes <italic>l > 3</italic>, that <italic>p(n)</italic> is <italic>l</italic>-adically fractal. They show that the generating functions for partition values on particular …
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Density and spacing properties of some families of non-standard ternary representations
… of the represented numbers and the related generating functions.
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Representation of special polynomials by the cycle indicator
Certain classes of special functions have been shown to have Cycle Indicator representations as well as recurrence relations. Most remarkably, it is shown how the Cycle Indicator can be used to unify or generalize special functions. Methods of unifying special functions are elaborated on. It …
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Two New Classes of Generalized Modified Weibull Distributions with Application to Lifetime Data
… of density function, hazard and reverse hazard functions, quantile function, moments, incomplete moments, generating functions, mean deviations, Bonferroni and Lorenz curves and order statistics are presented. For the GEMW, we also present Renyi entropy, estimation of parameters by using method …
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ΜΟΝΟΔΙΑΣΤΑΤΕΣ ΚΑΙ ΠΟΛΥΔΙΑΣΤΑΤΕΣ ΚΑΤΑΝΟΜΕΣ POLYA ΚΑΙ ΑΝΑΣΤΡΟΦΗ POLYA ΤΑΞΕΩΣ Κ
… K ON THE INTEGERS 1,....,K. WE DERIVE THE MOMENT GENERATING FUNCTIONS, MEANS AND VARIANCES OF THESE DISTRIBUTIONS, WE ESTABLISH SEVERAL ASYMPTOTICRELATIONSHIPS OF THEM AND WE OBTAIN THE MOMENT ESTIMATORS OF THEIR PARAMETERS.GENERALIZING THESE DISTRIBUTIONS TO THE MULTIVARIATE CASE, WE DERIVE AND …
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ΠΟΛΥΔΙΑΣΤΑΤΕΣ ΚΑΤΑΝΟΜΕΣ Κ-ΤΑΞΗΣ
… AND TYPE-II, WHICH ARE ALSO DEFINED. PROBABILITY GENERATING FUNCTIONS, MEANS VARIANCES, COVARIANCES, FURTHER GENESIS SCHEMES, INTERRELATIONSHIPS AND RECURRENCE RELATIONS AND BINOMIAL EXPRESSIONS FOR CALCULATING THE PROBABILITIES OF THE ABOVE DISTRIBUTIONS ARE ALSO GIVEN.
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Generalized Classes of Distributions with Applications to Income and Lifetime Data
… series expansion, hazard and reverse hazard functions, moments, generating functions, mean and median deviations, Bonferroni and Lorenz curves, distribution of order statistics, moments of order statistics and entropies are presented. Estimation of parameters of these distributions via …
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Combinatorial aspects of root lattices and words
… particular quaternion algebra. Dirichlet series generating functions are derived, which count the number of similar sublattices, respectively coincidence site lattices, of each index. In the second part, several strategies to derive upper and lower bounds for the entropy of certain sets of …
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