scholarly journals A deformation of affine Hecke algebra and integrable stochastic particle system

2014 ◽  
Vol 47 (46) ◽  
pp. 465203 ◽  
Author(s):  
Yoshihiro Takeyama
Keyword(s):  
Particle System ◽  
Hecke Algebra ◽  
Affine Hecke Algebra ◽  
Stochastic Particle System ◽  
Stochastic Particle

scholarly journals Derivation of a kinetic model from a stochastic particle system

2008 ◽  
Vol 1 (4) ◽  
pp. 557-572 ◽  
Author(s):  
Pierre Degond ◽  
◽  
Simone Goettlich ◽  
Axel Klar ◽  
Mohammed Seaid ◽  
...  
Keyword(s):  
Kinetic Model ◽  
Particle System ◽  
Stochastic Particle System ◽  
Stochastic Particle

scholarly journals Propagation of chaos for the Vlasov–Poisson–Fokker–Planck equation with a polynomial cut-off

2019 ◽  
Vol 21 (04) ◽  
pp. 1850039 ◽  
Author(s):  
José A. Carrillo ◽  
Young-Pil Choi ◽  
Samir Salem
Keyword(s):  
Particle System ◽  
Planck Equation ◽  
Newtonian Potential ◽  
Empirical Measure ◽  
Propagation Of Chaos ◽  
Interaction Forces ◽  
Fokker Planck Equation ◽  
Stochastic Particle System ◽  
Stochastic Particle ◽  
Fokker Planck

We consider a [Formula: see text]-particle system interacting through the Newtonian potential with a polynomial cut-off in the presence of noise in velocity. We rigorously prove the propagation of chaos for this interacting stochastic particle system. Taking the cut-off like [Formula: see text] with [Formula: see text] in the force, we provide a quantitative error estimate between the empirical measure associated to that [Formula: see text]-particle system and the solutions of the [Formula: see text]-dimensional Vlasov–Poisson–Fokker–Planck (VPFP) system. We also study the propagation of chaos for the Vlasov–Fokker–Planck equation with less singular interaction forces than the Newtonian one.

Well-Posedness of the Second-Order SDEs Describing an N-Particle System Interacting via Coulomb Interaction

2020 ◽  
Author(s):  
Rong Yang
Keyword(s):  
Finite Time ◽  
Singular Potential ◽  
Particle System ◽  
Second Order ◽  
Time Interval ◽  
Well Posedness ◽  
Finite Time Interval ◽  
Interacting Particle ◽  
Stochastic Particle System ◽  
Stochastic Particle

This paper concerns a second-order N interacting stochastic particle system with singular potential for any dimension n ≥ 2. By some estimates of total energy of the system, we prove that there is no collision among particles almost surely in any finite time interval, then the well-posedness of this interacting particle system can be established.

A stochastic particle system modeling the Carleman equation

1989 ◽  
Vol 55 (3-4) ◽  
pp. 625-638 ◽  
Author(s):  
S. Caprino ◽  
A. De Masi ◽  
E. Presutti ◽  
M. Pulvirenti
Keyword(s):  
Particle System ◽  
System Modeling ◽  
Stochastic Particle System ◽  
Carleman Equation ◽  
Stochastic Particle

scholarly journals A stochastic particle system modeling the Carleman equation

1990 ◽  
Vol 59 (1-2) ◽  
pp. 535-537 ◽  
Author(s):  
S. Caprino ◽  
A. DeMasi ◽  
E. Presutti ◽  
M. Pulvirenti
Keyword(s):  
Particle System ◽  
System Modeling ◽  
Stochastic Particle System ◽  
Carleman Equation ◽  
Stochastic Particle
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