Monochromatic sums of squares
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-017-1943-7
Abstract: For any integer $$K\ge 1$$K≥1 let s(K) be the smallest integer such that in any colouring of the set of squares of the integers in K colours every large enough integer can be written as… read more here.
Keywords: log log; integer; monochromatic sums; sums squares ... See more keywords
On delocalization of eigenvectors of random non-Hermitian matrices
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DOI: 10.1007/s00440-019-00956-8
Abstract: We study delocalization of null vectors and eigenvectors of random matrices with i.i.d entries. Let A be an $$n\times n$$ n × n random matrix with i.i.d real subgaussian entries of zero mean and unit… read more here.
Keywords: vert mathbf; log log; vert; log ... See more keywords
A Clustering-Based Approach to Kinetic Closest Pair
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DOI: 10.1007/s00453-017-0338-9
Abstract: Given a set P of n moving points in fixed dimension d, where the trajectory of each point is a polynomial of degree bounded by some constant, we present a kinetic data structure (KDS) for… read more here.
Keywords: log log; closest pair; log vardelta; log ... See more keywords
Multiple-Edge-Fault-Tolerant Approximate Shortest-Path Trees
Sign Up to like & getrecommendations! Published in 2022 at "Algorithmica"
DOI: 10.1007/s00453-021-00879-8
Abstract: Let G be an n -node and m -edge positively real-weighted undirected graph. For any given integer $$f \ge 1$$ f ≥ 1 , we study the problem of designing a sparse f -edge-fault-tolerant (… read more here.
Keywords: size; log; sigma; edge ... See more keywords
Topology and topological sequence entropy
Sign Up to like & getrecommendations! Published in 2019 at "Science China Mathematics"
DOI: 10.1007/s11425-019-9536-7
Abstract: Let X be a compact metric space and T : X → X be continuous. Let h * ( T ) be the supremum of topological sequence entropies of T over all subsequences of ℤ… read more here.
Keywords: log log; topological sequence; topology; topology topological ... See more keywords
Disciplined geometric programming
Sign Up to like & getrecommendations! Published in 2019 at "Optimization Letters"
DOI: 10.1007/s11590-019-01422-z
Abstract: We introduce log-log convex programs, which are optimization problems with positive variables that become convex when the variables, objective functions, and constraint functions are replaced with their logs, which we refer to as a log-log… read more here.
Keywords: log; log convex; geometric programming; disciplined geometric ... See more keywords
Cover time for branching random walks on regular trees
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2021.46
Abstract: Abstract Let T be the regular tree in which every vertex has exactly $d\ge 3$ neighbours. Run a branching random walk on T, in which at each time step every particle gives birth to a… read more here.
Keywords: branching random; time; time branching; cover time ... See more keywords
Most permutations power to a cycle of small prime length
Sign Up to like & getrecommendations! Published in 2021 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091521000110
Abstract: Abstract We prove that most permutations of degree $n$ have some power which is a cycle of prime length approximately $\log n$. Explicitly, we show that for $n$ sufficiently large, the proportion of such elements… read more here.
Keywords: log log; log; power cycle; prime length ... See more keywords
Numerical analysis of two-phase flow in heterogeneous porous media during pre-flush stage of matrix acidizing: Optimization by response surface methodology
Sign Up to like & getrecommendations! Published in 2021 at "Physics of Fluids"
DOI: 10.1063/5.0046106
Abstract: Oil trapping behavior during the pre-flush stage is critically important to evaluate the effectiveness of matrix acidizing for the oil well stimulation. In this study, the visco-capillary behavior of the two-phase flow in the pore-scale… read more here.
Keywords: phase; methodology; log log; flush stage ... See more keywords
20 yr of observations of PM 1-188: its chemical abundances and extraordinary kinematics
Sign Up to like & getrecommendations! Published in 2021 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/stab517
Abstract: The analysis of 20 years of spectrophotometric data of the double shell planetary nebula PM\,1-188 is presented, aiming to determine the time evolution of the emission lines and the physical conditions of the nebula, as… read more here.
Keywords: log log; observations 188; kinematics; chemical abundances ... See more keywords
Integer factoring and compositeness witnesses
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Cryptology"
DOI: 10.1515/jmc-2019-0023
Abstract: Abstract We describe a reduction of the problem of factorization of integers n ≤ x in polynomial-time (log x)M+O(1) to computing Euler’s totient function, with exceptions of at most xO(1/M) composite integers that cannot be… read more here.
Keywords: log log; factoring compositeness; integers factored; log ... See more keywords