Category: math»article»submitted
2021
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Asymptotic analysis of q-recursive sequences
2020
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Metamour-regular polyamorous relationships and graphs
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Decidability and k-regular sequences
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Distribution of the optimal multi-pivot quicksort algorithm including explicit results for three and four pivot elements
2019
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Towards a computational proof of Vizing's conjecture using semidefinite programming and sums-of-squares
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Algorithmic counting of nonequivalent compact Huffman codes
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An optimization-based sum-of-squares approach to Vizing's conjecture
2018
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Asymptotic analysis of regular sequences
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On the minimal Hamming weight of a multi-base representation
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Esthetic numbers and lifting restrictions on the analysis of summatory functions of regular sequences
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Analysis of summatory functions of regular sequences: Transducer and Pascal's rhombus
2016
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Dual-pivot quicksort: Optimality, analysis and zeros of associated lattice paths
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The continuum Pólya-like random walk
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An extended note on the comparison-optimal dual-pivot quickselect
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Non-minimality of the width-w non-adjacent form in conjunction with trace one τ-adic digit expansions and Koblitz curves in characteristic two
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Counting zeros in random walks on the integers and analysis of optimal dual-pivot quicksort
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Automata in SageMath—combinatorics meets theoretical computer science
2015
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Canonical trees, compact prefix-free codes and sums of unit fractions: A probabilistic analysis
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Multi-base representations of integers: Asymptotic enumeration and central limit theorems
2014
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Compositions into powers of b: Asymptotic enumeration and parameters
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Automata and transducers in the computer algebra system Sage
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The number of compositions into powers of b
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On the number of multi-base representations of an integer
2013
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Finite state machines, automata, transducers
2012
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Analysis of the width-w non-adjacent form in conjunction with hyperelliptic curve cryptography and with lattices
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Analysis of parameters of trees corresponding to Huffman codes and sums of unit fractions
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On linear combinations of units with bounded coefficients and double-base digit expansions
2011
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Optimality of the width-w non-adjacent form: General characterisation and the case of imaginary quadratic bases
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Sylow p-groups of polynomial permutations on the integers mod pn
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Existence and optimality of w-non-adjacent forms with an algebraic integer base
2010
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Analysis of width-w non-adjacent forms to imaginary quadratic bases
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