Results 41 to 50 of about 356 (98)

Jacobi Polynomials, Bernstein-type Inequalities and Dispersion Estimates for the Discrete Laguerre Operator [PDF]

open access: yes, 2018
The present paper is about Bernstein-type estimates for Jacobi polynomials and their applications to various branches in mathematics. This is an old topic but we want to add a new wrinkle by establishing some intriguing connections with dispersive ...
Koornwinder, Tom   +2 more
core   +3 more sources

Anomalous transport of impurities in inelastic Maxwell gases

open access: yes, 2015
A mixture of dissipative hard grains generically exhibits a breakdown of kinetic energy equipartition. The undriven and thus freely cooling binary problem, in the tracer limit where the density of one species becomes minute, may exhibit an extreme form ...
Garzó, Vicente   +2 more
core   +3 more sources

Models of q-algebra representations: q-integral transforms and "addition theorems'' [PDF]

open access: yes, 1994
In his classic book on group representations and special functions Vilenkin studied the matrix elements of irreducible representations of the Euclidean and oscillator Lie algebras with respect to countable bases of eigenfunctions of the Cartan ...
Kalnins, Ernie G., Miller, W., Jr.
core   +2 more sources

Barenblatt profiles for a nonlocal porous media equation

open access: yes, 2011
We study a generalization of the porous medium equation involving nonlocal terms. More precisely, explicit self-similar solutions with compact support generalizing the Barenblatt solutions are constructed.
Biler, Piotr   +2 more
core   +3 more sources

Strong Shock Waves and Nonequilibrium Response in a One-dimensional Gas: a Boltzmann Equation Approach

open access: yes, 2005
We investigate the nonequilibrium behavior of a one-dimensional binary fluid on the basis of Boltzmann equation, using an infinitely strong shock wave as probe.
A. F. Andreev   +7 more
core   +1 more source

On Symmetrical Sonin Kernels in Terms of Hypergeometric-Type Functions

open access: yesMathematics
In this paper, a new class of kernels of integral transforms of the Laplace convolution type that we named symmetrical Sonin kernels is introduced and investigated. For a symmetrical Sonin kernel given in terms of elementary or special functions, its associated kernel has the same form with possibly different parameter values. In the paper, several new
openaire   +2 more sources

Operators associated with the soft and hard spectral edges of unitary ensembles

open access: yes, 2006
Using Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops the theory of the operators associated with soft and hard edges of eigenvalue distributions of random matrices. Tracy and Widom introduced a projection operator $W$
Blower, Gordon
core  

Two-dimensional Time-dependent Point Interactions

open access: yes, 2016
We study the time-evolution of a quantum particle subjected to time-dependent zero-range forces in two dimensions. After establishing a conceivable ansatz for the solution to the Schr\"{o}dinger equation, we prove that the wave packet time-evolution is ...
Carlone, R., Correggi, M., Figari, R.
core   +1 more source

Early-stage aggregation in three-dimensional charged granular gas

open access: yes, 2017
Neutral grains made of the same dielectric material can attain considerable charges due to collisions and generate long-range interactions. We perform molecular dynamic simulations in three dimensions for a dilute, freely-cooling granular gas of ...
Mazza, Marco G., Singh, Chamkor
core   +1 more source

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