Results 31 to 40 of about 1,950,938 (331)
A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs
Let Δ and n be natural numbers such that Δn = 2m is even and Δ ⩽ (2 log n )1/2 - 1. Then as n →, the number of labelled Δ-regular graphs on n vertices is asymptotic to e − λ − λ 2 ( 2 m ) ! m ! 2 m ( Δ ! ) m where λ = (Δ -1)/2.
B. Bollobás
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Analysis of contact Cauchy–Riemann maps III: Energy, bubbling and Fredholm theory
In [Y.-G. Oh and R. Wang, Analysis of contact Cauchy-Riemann maps I: A priori [Formula: see text] estimates and asymptotic convergence, Osaka J. Math. 55(4) (2018) 647–679; Y.-G. Oh and R.
Yong-Geun Oh
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Let \(R_ 0,R_ 1,R_ 2,..\). be a nondegenerate binary linear recurrence of integers defined by \(R_ n=AR_{n-1}+BR_{n-2}\) \((n>1)\), where \(R_ 0\), \(R_ 1=1,and\) A, B are fixed nonzero integers. It is proved that \[ \sqrt{\frac{6\cdot \log | R_ 1\cdot R_ 2\cdot \cdot \cdot R_ N|}{\log [R_ 1,R_ 2,...,R_ N]}}\quad =\quad \pi +O(\frac{1}{\log N}) \] for ...
Kiss, Péter, Mátyás, Ferenc
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Asymptotic Formulas for Toeplitz Determinants [PDF]
The object of this paper is to find an asymptotic formula for determinants of finite dimensional Toeplitz operators generated by a class of functions with singularities. The formula is a generalization of the Strong Szegö Limit Theorem.
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A lower bound on the number of finite simple groups
Let S(n ...
Michael E. Mays
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A cardy formula for three-point coefficients or how the black hole got its spots
Modular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy’s ...
Per Kraus, Alexander Maloney
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Asymptotic Variational Formulae for Eigenvalues [PDF]
The eigenvalues of a second order self-adjoint elliptic differential operator on Riemannian n-space R will be considered. Our purpose is to obtain asymptotic variational formulae for the eigenvalues under the topological deformations of (i) removing an ɛ -cell (and adjoining an
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A hybrid asymptotic formula for the second moment of Rankin–Selberg L‐functions [PDF]
Let g be a fixed modular form of full level, and let {fj, k} be a basis of holomorphic cuspidal newforms of even weight k, fixed level and fixed primitive nebentypus.
V. Blomer, G. Harcos
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An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums [PDF]
We count mxn non-negative integer matrices (contingency tables) with prescribed row and column sums (margins). For a wide class of smooth margins we establish a computationally efficient asymptotic formula approximating the number of matrices within a ...
A. Barvinok, J. Hartigan
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Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators
In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
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