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Smallest eigenvalue distributions for $\beta$-Jacobi ensembles
Smallest eigenvalue distributions $\beta$-Jacobi ensembles
2010/12/10
We compute the exact and limiting smallest eigenvalue distributions for a class of -Jacobi ensembles not covered by previous studies. In the general case, these distributions are given by multivari...
Mean-field/PDF numerical approach for polydispersed turbulent two-phase flows
Mean-field/PDF numerical approach polydispersed turbulent two-phase flows
2010/12/15
The purpose of this paper is to give an overview in the realm of numerical computations of
polydispersed turbulent two-phase flows, using a mean-field/PDF approach. In this approach,
the numerical s...
On weak mixing, minimality and weak disjointness of all iterates
transitive set weakly mixing set topological entropy
2010/12/3
Given a continuous map f , we study the recurrence properties of f (∗m) = f × f 2 × . . . × f m. In contrast to minimal case, we show that in general there is no relation between topological wea...
A conjecture of Halmos proved by Choi and Li states that the closure of the numerical range of a contraction on a Hilbert space is the intersection of the closure of the numerical ranges of all its un...
Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems
geometric numerical integration long time numerical evolution
2010/12/15
We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered clas...
Reduced decompositions and commutation classes
Reduced decompositions commutation classes
2010/11/30
We study three aspects of commutation classes of reduced decompo-sitions: the number of commutation classes, the structures of their corre-sponding graphs, and the enumeration of subnetworks, a concep...
I present Franz Lemmermeyer’s proof that if p is a prime ≡ 9 (16) then the class number of Qp 1 4 is ≡ 2 (4).
A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime
Numerical Scheme Quantum Boltzmann Equation Efficient
2010/12/8
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision term. A class of asymptotic preserving schemes
was introduced in ...
Multi-component generalizations of the {CH} equation: Geometrical Aspects, Peakons and Numerical Examples
Multi-component generalizations {CH} equation Geometrical Aspects Peakons Numerical Examples
2010/12/16
The Lax pair formulation of the two-component Camassa-Holm equation (CH2) is generalized to produce an integrable multi-component family, CH(n,k), of equations with n components and 1 jkj n veloci...
An inequality for sums of binary digits, with application to Takagi functions
Takagi function Approximate convexity Digital sum inequality
2010/12/1
An inequality for sums of binary digits, with application to Takagi functions.
Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces
Bochner-Riesz operators weighted Herz-type Hardy spaces Ap weights atomic decomposition
2010/12/15
In this paper, by using the atomic decomposition and molecular characterization of the homogeneous and non-homogeneous weighted Herz-type Hardy spaces H ˙K ,p q (w1,w2)(HK ,p
q (w1,w2)), we obtain s...
Numerical Computation of a Certain Dirichlet Series Attached to Siegel Modular Forms of Degree Two
Dirichlet Series Attached Siegel Modular Forms Degree Two
2010/12/8
The Rankin convolution type Dirichlet series DF,G(s) of Siegel modular forms F and G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F and G.
Mathematical and numerical analysis of a model for anti-angiogenic therapy in metastatic cancers
Anticancer therapy modelling Angiogenesis Structured population dynamics
2010/12/8
We introduce and analyze a phenomenological model for anti-angiogenic therapy in the treatment
of metastatic cancers. It is a structured transport equation with a nonlocal boundary condition de-scrib...
Variational Iteration Method for Image Restoration
Variational Iteration Method Image Restoration Perona-Malik Equation
2010/11/26
The famous Perona-Malik (P-M) equation which was at first introduced for image restoration has been solved via various numerical methods. In this paper we will solve it for the first time via applying...
Multiuser broadcast erasure channel with feedback - capacity and algorithms
Broadcast erasure channels feedback-based coding capacity achieving algorithms
2010/12/1
We consider the N-user broadcast erasure channel where feedback from the users is fed back to the transmitter in the form of ACK messages.