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Enumeration and Random Generation of Concurrent Computations
Published 2012-01-01Subjects: “…concurrency theory. analytic combinatorics. shuffle. random generation. linear extension.…”
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22
The number of planar graphs and properties of random planar graphs
Published 2005-01-01Subjects: Get full text
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23
On computational complexity of plane curve invariants
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24
Counting connected graphs with large excess
Published 2020-04-01“…So far, only the first term of the asymptotics was known. Using analytic combinatorics, i.e. generating function manipulations, we derive the complete asymptotic expansion.…”
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25
Asymptotic distribution of fixed points of pattern-avoiding involutions
Published 2017-12-01“…For every pattern of length 3 we give the bivariate generating function with respect to fixed points for the involutions that avoid that pattern, and where applicable apply tools from analytic combinatorics to extract information about the limiting distribution from the generating function. …”
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26
A Note on the Lempel-Ziv Parsing Algorithm under Asymmetric Bernoulli Model
Published 2021-09-01“…In this paper, by applying analytic combinatorics, we obtain an asymptotics for the t-th moment of the number of phrases of length l in the Lempel-Ziv parsing algorithms built over a string generated by an asymmetric Bernoulli model. …”
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Lattice paths with catastrophes
Published 2017-09-01“…Thanks to the kernel method and via analytic combinatorics, we provide the enumeration and limit laws of these "lattice paths with catastrophes" for any finite set of jumps. …”
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The number of distinct adjacent pairs in geometrically distributed words: a probabilistic and combinatorial analysis
Published 2023-10-01“…We use such tools as Mellin transforms, Analytic Combinatorics, Markov Chains.…”
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Pattern avoidance in forests of binary shrubs
Published 2016-07-01“…In the remaining case, we use the machinery of analytic combinatorics to determine the minimal polynomial of its generating function, and deduce its growth rate.…”
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Protected node profile of Tries
Published 2018-03-01“…These results are derived by the methods of analytic combinatorics such as generating functions, Mellin transform, Poissonization and depoissonization, saddle point method and singularity analysis.…”
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A Bayesian generating function approach to adverse drug reaction screening.
Published 2024-01-01“…In this work a Bayesian signal detector based on analytic combinatorics is developed from a point of view commonly adopted by engineers in the field of radar and sonar signal processing. …”
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Unary profile of lambda terms with restricted De Bruijn indices
Published 2021-02-01“…Given a fixed integer k, a lambda term in which all De Bruijn indices are bounded by k has the following shape: It starts with k De Bruijn levels, forming the so-called hat of the term, to which some number of k-colored Motzkin trees are attached. By means of analytic combinatorics, we show that the size of this hat is constant on average and that the average number of De Bruijn levels of k-colored Motzkin trees of size n is asymptotically Θ(√ n). …”
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Parking on a random tree
Published 2018“…Lackner and Panholzer proved (via analytic combinatorics methods) that there is a phase transition in this model. …”
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Information theory: Sources, Dirichlet series, and realistic analyses of data structures
Published 2011-08-01“…Our methods are close to analytic combinatorics, and our main object of interest is the generating function of the source Lambda(s), which is here of Dirichlet type. …”
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AN ALGORITHM FOR DERIVING COMBINATORIAL BIOMARKERS BASED ON RIDGE REGRESSION
Published 2018-02-01“…The principles of analytic combinatorics, linear and kernel ridge regression, and machine learning were applied to derive new combinatorial biomarkers of muscle damage. …”
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Problems for combinatorial numbers satisfying a class of triangular arrays
Published 2023-11-01“…In this work, we derive the general analytic expression of the numbers satisfying a class of triangular arrays and propose problems (both teaching and unsolved ones) for undergraduates studying probability theory and analytical combinatorics subjects in the study programs of the fields of mathematics and computer science. …”
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