Results 21 to 30 of about 7,714,647 (241)
Apollonian circle packings: Dynamics and Number theory [PDF]
, 2014 We give an overview of various counting problems for Apollonian circle packings, which turn out to be related to problems in dynamics and number theory for thin groups.
Oh, Hee
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Duality, Partial Supersymmetry, and Arithmetic Number Theory [PDF]
, 1997 We find examples of duality among quantum theories that are related to arithmetic functions by identifying distinct Hamiltonians that have identical partition functions at suitably related coupling constants or temperatures.
Spector, Donald
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The height of q-Binary Search Trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2002 q-binary search trees are obtained from words, equipped with a geometric distribution instead of permutations. The average and variance of the heighth computated, based on random words of length n, as well as a Gaussian limit law.
Michael Drmota, Helmut Prodinger
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Mod-Poisson convergence in probability and number theory [PDF]
, 2009 Building on earlier work introducing the notion of "mod-Gaussian" convergence of sequences of random variables, which arises naturally in Random Matrix Theory and number theory, we discuss the analogue notion of "mod-Poisson" convergence.
Arratia +22 more
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The distribution of ascents of size d or more in compositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Combinatorics
Charlotte Brennan, Arnold Knopfmacher
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Theory of Analogous Force on Number Sets [PDF]
, 2003 A general statistical thermodynamic theory that considers given sequences of x-integers to play the role of particles of known type in an isolated elastic system is proposed.
Adhikari +17 more
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Theorem of the complex exponentials
Ratio Mathematica, 2019 This paper describes a new theorem that relates the lengths of the legs of a right triangle with the ratio of three complex exponentials. The big novelty of the theorem consists in transforming two real measures of legs derived from Euclidean geometry ...
Alberto Daunisi
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Record statistics in integer compositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 A $\textit{composition}$ $\sigma =a_1 a_2 \ldots a_m$ of $n$ is an ordered collection of positive integers whose sum is $n$. An element $a_i$ in $\sigma$ is a strong (weak) $\textit{record}$ if $a_i> a_j (a_i \geq a_j)$ for all $j=1,2,\ldots,i-1 ...
Arnold Knopfmacher, Toufik Mansour
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Problems in number theory from busy beaver competition [PDF]
, 2015 By introducing the busy beaver competition of Turing machines, in 1962, Rado defined noncomputable functions on positive integers. The study of these functions and variants leads to many mathematical challenges.
Michel, Pascal
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A note on families of generalized Nörlund matrices as bounded operators on lp; pp. 137–145 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 We deal with generalized Nörlund matrices A = (N, pn, qn) defined by means of two non-negative sequences (pn) and (qn) with p0, q0, gt; 0. We are interested in simple conditions such that the associated non-negative triangular matrix A = (ank) is a ...
Ulrich Stadtmüller, Anne Tali
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