scholarly journals On a contraction property of Bernoulli canonical processes

2019 ◽  
Vol 67 (2) ◽  
pp. 187-209 ◽  
Author(s):  
Witold Bednorz ◽  
Rafał Martynek
Keyword(s):  
Contraction Property ◽  
Canonical Processes

Diffusion limit of a Boltzmann–Poisson system with nonlinear equilibrium state

2019 ◽  
Vol 16 (01) ◽  
pp. 131-156
Author(s):  
Lanoir Addala ◽  
Mohamed Lazhar Tayeb
Keyword(s):  
Nonlinear Diffusion ◽  
Collision Operator ◽  
Nonlinear Diffusion Equation ◽  
One Dimension ◽  
Diffusion Limit ◽  
Poisson System ◽  
Nonlinear Relaxation ◽  
Contraction Property ◽  
Hilbert Expansion ◽  
Nonlinear Equilibrium

The diffusion approximation for a Boltzmann–Poisson system is studied. Nonlinear relaxation type collision operator is considered. A relative entropy is used to prove useful [Formula: see text]-estimates for the weak solutions of the scaled Boltzmann equation (coupled to Poisson) and to prove the convergence of the solution toward the solution of a nonlinear diffusion equation coupled to Poisson. In one dimension, a hybrid Hilbert expansion and the contraction property of the operator allow to exhibit a convergence rate.

L1 contraction property for a Boltzmann equation with Pauli statistics

2002 ◽  
Vol 335 (4) ◽  
pp. 337-340 ◽  
Author(s):  
Antoine Mellet ◽  
Benoı̂t Perthame
Keyword(s):  
Boltzmann Equation ◽  
Contraction Property

scholarly journals Random sampling of lattice paths with constraints, via transportation

2010 ◽  
Vol DMTCS Proceedings vol. AM,... (Proceedings) ◽  
Author(s):  
Lucas Gerin
Keyword(s):  
Markov Chain ◽  
Markov Chains ◽  
Random Sampling ◽  
Optimal Transport ◽  
Lattice Paths ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Contraction Property ◽  
International Audience

International audience We build and analyze in this paper Markov chains for the random sampling of some one-dimensional lattice paths with constraints, for various constraints. These chains are easy to implement, and sample an "almost" uniform path of length $n$ in $n^{3+\epsilon}$ steps. This bound makes use of a certain $\textit{contraction property}$ of the Markov chain, and is proved with an approach inspired by optimal transport.

scholarly journals Distortion Coefficients of the $$\alpha $$-Grushin Plane

2022 ◽  
Vol 32 (3) ◽  
Author(s):  
Samuël Borza
Keyword(s):  
Trigonometric Functions ◽  
Contraction Property ◽  
Grushin Plane ◽  
Measure Contraction Property ◽  
Property Condition

AbstractWe compute the distortion coefficients of the $$\alpha $$ α -Grushin plane. They are expressed in terms of generalised trigonometric functions. Estimates for the distortion coefficients are then obtained and a conjecture of a measure contraction property condition for the generalised Grushin planes is suggested.

scholarly journals Non-canonical processes that shape the cell migration landscape

2019 ◽  
Vol 57 ◽  
pp. 123-134 ◽  
Author(s):  
Ritankar Majumdar ◽  
Kaylee Steen ◽  
Pierre A Coulombe ◽  
Carole A Parent
Keyword(s):  
Cell Migration ◽  
Canonical Processes

Study on Affection of the PVA Fiber on Recycled Coarse Aggregate to Porous Concrete Performance

2013 ◽  
Vol 438-439 ◽  
pp. 304-308 ◽  
Author(s):  
Du La Man
Keyword(s):  
Coarse Aggregate ◽  
Effective Porosity ◽  
Replacement Ratio ◽  
Porous Concrete ◽  
Recycled Coarse Aggregate ◽  
Contraction Property ◽  
Dry Shrinkage ◽  
Pva Fiber ◽  
Shrinkage Property ◽  
Skeleton Structure

Pervious concrete is one kind of porous concrete which has skeleton structure. In this test the recycled coarse aggregate replacement ratio is 30%, by using recycled coarse aggregate which through high quality processing replaces ordinary coarse aggregate and adding PVA fiber (the mass of PVA fiber respectively are 0%, 0.5%, 1.0% and 1.5% of the cement), the influences of PVA fiber on the strength, effective porosity and permeable coefficient of porous concrete are studied. Besides, the dry shrinkage property and temperature contraction property of porous concrete are discussed. The results can provide the basis for the design and application of the recycled coarse aggregate porous concrete.

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