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Approximation of distributed delays
distributed delay time-delay system rational approximation lumped system
2010/12/1
We address in this paper the approximation problem of distributed delays.Such elements are convolution operators with kernel having bounded support,and appear in the control of time-delay systems.
Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed permutations
Iwahori-Hecke algebras Geck-Rouquier conjugacy classes symmetric functions
2010/12/9
We show the q-analog of a well-known result of Farahat and Higman: in the center of the Iwahori-Hecke algebraHn,q, if (a μ(n, q)) is the set of structure constants involved in the product of two G...
Asymptotic of geometrical navigation on a random set of points of the plane
Asymptotic of geometrical navigation random set of points plane
2010/12/10
A navigation on a set of points is a rule for choosing which point to move to from the
present point in order to progress toward a specified target. In the present paper we study
some “geometrical b...
Minimal Polynomials of Some Matrices Via Quaternions
Minimal Polynomials Some Matrices Via Quaternions
2010/11/26
This work provides explicit characterizations and formulae for the minimal polynomials of
a wide variety of structured 4 × 4 matrices. These include symmetric, Hamiltonian and
orthogonal matrices. A...
Subgradients of Minimal Time Functions Under Minimal Requirements
Variational analysis and optimization minimal time functions Minkowski gauges
2010/12/1
This paper concerns the study of a broad class of minimal time functions corresponding to control problems with constant convex dynamics and closed target sets in arbitrary Banach spaces. In contrast ...
Asymptotic growth of saturated powers and epsilon multiplicity
Asymptotic growth of saturated powers epsilon multiplicity
2010/12/9
In this paper, we study the growth of saturated powers of modules. In the case of an ideal I in a local ring (R,m), the saturation of Ik in R is (Ik)sat = Ik :R m ∞ = ∪∞n=1Ik :R m n.
Every Banach ideal of polynomials is compatible with an operator ideal
Polynomial ideals operator ideals
2010/11/30
We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polyn...
Smooth representations of GL_m(D) VI : semisimple types
Smooth representations GL_m(D) VI semisimple types
2010/11/30
We give a complete description of the category of smooth complex representations of the multiplicative group of a central simple algebra over a locally compact nonarchimedean local field. More precise...
A Bijection between Atomic Partitions and Unsplitable Partitions
Bijection between Atomic Partitions Unsplitable Partitions
2010/11/29
In the study of the algebra NCSym of symmetric functions in noncommutative variables, Bergeron and Zabrocki found a free generating set consisting of power sum symmetric functions indexed by atomic pa...
Desingularization of binomial varieties in arbitrary characteristic. Part II. Combinatorial desingularization algorithm
Resolution of Singularities Binomial ideals
2010/11/29
In this paper we construct a combinatorial algorithm of resolution of singularities for binomial ideals, over a field of arbitrary characteristic. This algorithm is applied to any binomial ideal.This ...
Spectral asymptotics for Robin problems with a discontinuous coefficient
Spectral asymptotics for Robin problems discontinuous coefficient
2010/11/30
The spectral behavior of the difference between the resolvents of two realizations of a second-order strongly elliptic symmetric differential operator A defined by different Robin conditions u = b1 0...
Asymptotics of the Gelfand models of the symmetric groups
Asymptotics Gelfand models symmetric groups
2010/12/9
If a partition of size n is chosen randomly according to the Plancherel measure Pn[] =
(dim )2=n!, then as n goes to infinity, the rescaled shape of is with high probability very close to a non...
q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers
q-Bernstein polynomial Bernoulli numbers and polynomials
2010/12/8
Recently, T. Kim([4]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips([12]). In this paper, we give p-adic q-integral representation for Kim’s q-Bernstein po...
On p-adic analogue of q-Bernstein polynomials and related integrals
q-Bernstein polynomial Bernoulli numbers and poly-nomials p-adic q-integral
2010/12/8
Recently, T. Kim([5]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips q-Bernstein polynomials([11, 12]). The purpose of this paper is to study some propertie...
Stanley conjecture on intersections of four monomial prime ideals
Monomial Ideals Stanley decompositions Stanley depth
2010/12/14
We show that the Stanley’s Conjecture holds for an intersection of four monomial prime ideals of a polynomial algebra S over a field and for an arbitrary intersection of monomial prime ideals (Pi)i∈[s...