Results 31 to 40 of about 256,760 (248)

Functional lower bounds for arithmetic circuits and connections to boolean circuit complexity [PDF]

open access: yes, 2016
We say that a circuit $C$ over a field $F$ functionally computes an $n$-variate polynomial $P$ if for every $x \in \{0,1\}^n$ we have that $C(x) = P(x)$. This is in contrast to syntactically computing $P$, when $C \equiv P$ as formal polynomials. In this
Forbes, Michael A.   +2 more
core   +2 more sources

On Existence and Uniqueness to Homogeneous Boltzmann Flows of Monatomic Gas Mixtures [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2018
We solve the Cauchy problem for the full non-linear homogeneous Boltzmann system of equations describing multi-component monatomic gas mixtures for binary interactions in three dimensions.
I. Gamba, M. Pavić-Čolić
semanticscholar   +1 more source

Left-Inverses of Fractional Laplacian and Sparse Stochastic Processes [PDF]

open access: yes, 2010
The fractional Laplacian $(-\triangle)^{\gamma/2}$ commutes with the primary coordination transformations in the Euclidean space $\RR^d$: dilation, translation and rotation, and has tight link to splines, fractals and stable Levy processes.
Sun, Qiyu, Unser, Michael
core   +4 more sources

Existence and Uniqueness of Solution for Caginalp Hyperbolic Phase- Field System with a Polynomial Potential

open access: yes, 2018
We prove the existence and the uniqueness of solutions for Caginalp hyperbolic phase-field system with initial conditions, Dirichlet boundary homogeneous conditions and a regular potential of order $2p-1$, in bounded domain.
Franck Davhys Reval Langa   +3 more
semanticscholar   +1 more source

Propagation of Uniform Upper Bounds for the Spatially Homogeneous Relativistic Boltzmann Equation [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2019
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation. These polynomial and exponential L∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
Jin Woo Jang, Robert M. Strain, S. Yun
semanticscholar   +1 more source

From the Birkhoff-Gustavson normalization to the Bertrand-Darboux integrability condition

open access: yes, 2000
The Bertrand-Darboux integrability condition for a certain class of perturbed harmonic oscillators is studied from the viewpoint of the Birkhoff-Gustavson(BG)-normalization: By solving an inverse problem of the BG-normalization on computer algebra, it is
Arnold V I   +17 more
core   +2 more sources

Maier-Saupe nematogenic fluid: field theoretical approach

open access: yesCondensed Matter Physics, 2011
We adopt a field theoretical approach to study the structure and thermodynamics of a homogeneous Maier-Saupe nematogenic fluid interacting with anisotropic Yukawa potential.
M. Holovko, D. di Caprio, I. Kravtsiv
doaj   +1 more source

Tachyon Condensation in a Chromomagnetic Center Vortex Background

open access: yesUniverse
The chromomagnetic vacuum of SU(2) gluodynamics is considered in the background of a finite radius flux tube (center vortex) with a homogeneous field inside and a zero field outside. In this background, there are tachyonic modes.
Michael Bordag
doaj   +1 more source

Genericity of blackhole formation in the gravitational collapse of homogeneous self-interacting scalar fields

open access: yes, 2008
The gravitational collapse of a wide class of self-interacting homogeneous scalar fields models is analyzed. The class is characterized by certain general conditions on the scalar field potential, which, in particular, include both asymptotically ...
Berger M. S.   +4 more
core   +1 more source

Noncommutative del Pezzo surfaces and Calabi-Yau algebras

open access: yes, 2010
The hypersurface in a 3-dimensional vector space with an isolated quasi-homogeneous elliptic singularity of type E_r,r=6,7,8, has a natural Poisson structure.
Etingof, Pavel, Ginzburg, Victor
core   +1 more source

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