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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Balanced Boolean Functions with Good Autocorrelation Spectra and Their Applications
自相关谱 平衡 布尔函数
2023/4/25
In this talk we consider the maximum absolute value in the autocorrelation spectrum (not considering the zero point) of balanced Boolean function. The long-standing open question in this area is to ob...
Balanced Incomplete Latin Square Designs
Balanced incomplete Latin square information matrix optimality orthogonal Latin square
2016/1/20
Latin squares have been widely used to design an experiment where the blocking factors and treatment factors are of the same levels. For some experiments, the size of blocks may be less than the numbe...
Combinatorics of balanced carries
Carries Markov chain Foulkes character Eulerian idempotent Determinantal process
2015/7/7
We study the combinatorics of addition using balanced digits, deriving an analog of Holte’s “amazing matrix” for carries in usual addition. The eigenvalues of this matrix for base b balanced addition ...
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
nonlinear hyperbolic equations Multi-component coupling multidimensional well-balanced schemes Analysis of PDEs
2012/6/1
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical space is formulated ...
Intervals of balanced binary trees in the Tamari lattice
balanced binary tree Tamari lattice poset grammar generating series fixed-point functional equation
2011/7/18
Abstract: We show that the set of balanced binary trees is closed by interval in the Tamari lattice. We establish that the intervals [T, T'] where T and T' are balanced binary trees are isomorphic as ...
Distance-balanced closure of some graphs
Distances in graphs distance-balanced graphs distance-balanced closure
2010/12/31
In this paper we prove that any distance-balanced graph G with (G) |V (G)| − 3 is regular. Also we define notion of distance-balanced closure of a graph and we find distance-
balanced closur...
Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Parametrization Inner matrices Interpolation algorithms
2010/12/31
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm
Balanced realizations of discrete-time stable all-pass systems tangential Schur algorithm
2010/12/31
In this paper, the connections are investigated between two different approaches towards
the parametrization of multivariable stable all-pass systems in discrete-time. The first approach involves the...
On Balanced Separators, Treewidth, and Cycle Rank
vertex separator treewidth pathwidth bandwidth cycle rank ordered coloring
2010/12/31
We investigate relations between di erent width parameters of graphs, in particular balanced sepa-rator number, treewidth, and cycle rank.
Well-balanced Levy Driven Ornstein-Uhlenbeck Processes
semimartingale Ornstein-Uhlenbeck process Levy process in nitely divisible distribution
2010/12/6
In this paper we introduce the well-balanced Levy driven Ornstein-Uhlenbeck process as a moving average process of the form Xt = R exp(jtuj)dLu.
Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space
Nonlinear Control Systems Kernel Hilbert Space
2010/11/1
We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the ...
The following random process on Z4 is studied. At first visit to a site, the two first coordinates perform a (2-dimensional) simple random walk step. At further visits, it is the last two coordinates ...
An n-dimensional strictly pseudoconvex Hartogs domain DF can be equipped with a natural K¨ahler metric gF . In this paper we prove that if m0gF is balanced for a given positive integer m0 then m0 > n ...
Half-balanced braided monoidal categories and Teichmueller groupoids in genus zero
Half-balanced braided monoidal categories Teichmueller groupoids in genus zero
2010/9/1
We introduce the notions of a half-balanced braided monoidal category and of its contraction. These notions give rise to an explicit description of the action of the Galois group of Q on Teichm¨uller ...
Balanced metrics and chow stability of projective bundles over Riemann surfaces
Balanced metrics chow stability of projective bundles Riemann surfaces
2010/9/1
In 1980, I. Morrison proved that slope stability of a vector bundle of rank 2 over a compact Riemann surface implies Chow stability of the projectivization of the bundle with respect to certain polari...