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Anomalous diffusion limit for kinetic equations with degenerate collision frequency
Anomalous diffusion limit kinetic equations degenerate collision frequency
2015/10/15
This paper is devoted to hydrodynamic limits for collisional linear kinetic equations. It is a classical result that under certain conditions on the collision operator, the long time/small mean free p...
NON-COLLISION SINGULARITIES IN THE PLANAR TWO-CENTER-TWO-BODY PROBLEM
PLANAR TWO-CENTER-TWO-BODY PROBLEM NON-COLLISION SINGULARITIES
2015/9/29
Statement of the main result. We study a two-center two-body problem.
Consider two xed centers Q1 and Q2 of masses m1 = m2 = 1 located at distance
from each other and two small particles Q3 and Q4...
Obstacle collision detection using best ellipsoid fit
ellipsoid fit geometric approximation collision detection
2015/8/11
This paper describes a method for estimating the distance between a robot and its surrounding environment using best ellipsoid fit. The method consists of the following two stages. First we approximat...
A FAST SPECTRAL ALGORITHM FOR THE QUANTUM BOLTZMANN COLLISION OPERATOR
Quantum Boltzmann equation fast spectral method
2015/7/14
This paper introduces a fast spectral algorithm for the quantum Boltzmann collision operator. In the usual spectral framework, one of the terms in the operator cannot be evaluatedefficiently. The new ...
A FAST ALGORITHM FOR THE ENERGY SPACE BOSON BOLTZMANN COLLISION OPERATOR
Quantum Boltzmann equation energy space boson Boltzmann equation recursive domain decomposition double convolution fast Fourier transform
2015/7/14
This paper introduces a fast algorithm for the energy space boson Boltzmann collision operator. Compared to the direct O(N3) calculation and the previous O(N2 log N) method [Markowich and Pareschi, 20...
Stam’s Conjecture and Threshold Phenomena in Collision Resistance
Stam’s Threshold Phenomena Collision Resistance
2012/12/4
At CRYPTO 2008 Stam [8] conjectured that if an (m+s)- bit to s-bit compression function F makes r calls to a primitive f of n-bit input, then a collision for F can be obtained (with high probability) ...
Channel-coded Collision Resolution by Exploiting Symbol Misalignment
Channel-coded Collision Resolution Symbol Misalignment
2010/12/9
In random-access networks, such as the IEEE 802.11 network, different users may transmit their packets simultaneously,resulting in packet collisions.
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit
Spectral methods Boltzmann equation cut-off assumption Fokker-Planck-Landau equation
2010/12/14
In this paper we study the numerical passage from the spatially homogeneous Boltzmann equation without cut-off to the Fokker-Planck-Landau equation in the socalled grazing collision limit.