Sela Fried
Publications
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S. Fried and T. Mansour, Further results on random walk labelings, Discrete Applied Mathematics 353, 2024.
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S. Fried, Problem, to appear in the College Mathematics Journal, May 2025.
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S. Fried and T. Mansour, The total number of descents and levels in (cyclic) tensor words, Discrete Mathematics Letters 13, 2024.
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S. Fried, Solving the Tower of Hanoi with heavy disks, to appear in the American Mathematical Monthly.
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S. Fried and T. Mansour, Staircase graph words, to appear in FILOMAT, 2024.
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S. Fried and T. Mansour, Graph labelings obtainable by random walks, Art of Discrete and Applied Mathematics 7 (1), 2024.
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S. Fried, Problem, to appear in the American Mathematical Monthly, 2024.
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S. Fried, Problem, to appear in the College Mathematics Journal, 2024.
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S. Fried and D. Haran, Θ-Hilbertianity and strong Θ-Hilbertianity, Israel Journal of Mathematics 257 (1), 2023.
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S. Fried, On the $\alpha$-lazy version of Markov chains in estimation and testing problems, Statistical Inference for Stochastic Processes 26 (2), 2023.
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S. Fried, The minimal sum of squares over partitions with a nonnegative rank, Annals of Combinatorics 27, 2023.
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S. Fried, The expected degree of noninvertibility of compositions of functions, Journal of Integer Sequences 25 (8), 2022.
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S. Fried and G. Wolfer, Identity testing of reversible Markov chains, Int. Conf. on Artificial Intelligence and Statistics (AISTATS), 2022.
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S. Fried, On the coefficients of the distinct monomials in the expansion of $x_1(x_1 + x_2)\cdots(x_1 + x_2 + \cdots + x_n)$, Journal of Integer Sequences 25 (4), 2022.
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S. Fried, The restrictiveness of the hazard rate order and the moments of the maximal coordinate of a random vector uniformly distributed on the probability $n$-simplex, Statistics & Probability Letters 185, 2022.
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S. Fried, On the restrictiveness of the usual stochastic order and the likelihood ratio order, Statistics & Probability Letters 170, 2021.
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S. Fried and D. Haran, Θ-Hilbertianity, Journal of Algebra 555, 2020.
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S. Fried and D. Haran, Quasi-formations, Israel Journal of Mathematics 229 (1), 2019.
Preprints
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S. Fried and T. Mansour, Counting r×s rectangles in (Catalan) words, 2024.
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S. Fried and T. Mansour, On the maximal sum of the entries of a matrix power, 2023.
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S. Fried and T. Mansour, Random walk labelings of perfect trees and other graphs, 2023.
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S. Fried, On a conjecture of McNeil, 2023.​
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S. Fried, Equivalent conditions for the $n$th element of the Beatty sequence $B_{\sqrt{2}}$ being even, 2022.
Miscellaneous
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The beauty of Beatty sequences - Part II, 2023. (~50 MB)
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Contributions to the On-Line Encyclopedia of Integer Sequences (only new sequences are listed):
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A347815 - Prime numbers p such that both 30 and 105 are quadratic nonresidue (mod p).
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A347816 - Prime numbers p such that both 15 and 85 are quadratic nonresidue (mod p).
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A347917 - The coefficients in the expansion x_1(x_1 + x_2)...(x_1 + x_2 + ... + x_n), given row by row.
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A349404 - The maximal coefficient in the expansion of x_1(x_1 + x_2)...(x_1 + x_2 + ... + x_n).
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A353044 - a(n) is the minimal sum of squares over partitions of n with a nonnegative rank.
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A354528 - Square array T(m,n) read by antidiagonals - see Comments for definition.
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A354529 - a(1) = 3, a(2) = 12 and a(n) = (3n^2+8n-2)/2 if n is even or = (3n^2+8n-5)/2, if n is odd, for n >= 3.
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A356480 - a(n) is the minimal number of river crossings necessary to solve the missionaries and cannibals problem for n missionaries and n cannibals where the boat capacity is the minimum necessary to allow a solution.
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A356658 - The number of orderings of the hypercube Q_n whose disorder number is equal to the disorder number of Q_n.
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A358035 - a(n) = (8n^3 + 12n^2 + 4n - 9)/3.
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A364777 - a(n) = (n^2)!*(n!)^2/(2*n-1)!.
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A368539 - Maximal sum of elements of A^2 where A is a square matrix of size n whose elements are a permutation of {1, 2, ..., n^2}.
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