scholarly journals Probability measures on the path space and the sticky particle system

2020 ◽  
Vol 21 (2) ◽  
pp. 1333-1357 ◽  
Author(s):  
Ryan Hynd
Keyword(s):  
Particle System ◽  
Path Space ◽  
Probability Measures

scholarly journals Nonlinear Fokker–Planck equations for probability measures on path space and path-distribution dependent SDEs

2019 ◽  
Vol 39 (6) ◽  
pp. 3017-3035 ◽  
Author(s):  
Xing Huang ◽  
◽  
Michael Röckner ◽  
Feng-Yu Wang ◽  
◽  
...  
Keyword(s):  
Path Space ◽  
Probability Measures ◽  
Fokker Planck Equations ◽  
Fokker Planck

Construction of Levi processes on path spaces of Lie groups

2016 ◽  
Vol 19 (01) ◽  
pp. 1650002
Author(s):  
A. A. Kalinichenko
Keyword(s):  
Lie Groups ◽  
Lie Group ◽  
Weak Limit ◽  
Convolution Semigroup ◽  
Path Space ◽  
Probability Measures ◽  
Compact Lie Group ◽  
Piecewise Constant ◽  
Finite Dimensional

Given a compact Lie group and a conjugate-invariant Levi process on it, generated by the operator [Formula: see text], we construct the Levi process on the path space of [Formula: see text], associated with the convolution semigroup [Formula: see text] of probability measures, where [Formula: see text] is the distribution of the Levi process on [Formula: see text] generated by [Formula: see text]. The constructed process is obtained as the weak limit of piecewise constant paths, which, as well as proving its existence and properties, provides finite-dimensional approximations of Chernoff type to the integrals with respect to its distribution.

LIFTING THE FUNCTOR ITO THE CATEGORY OF UNIFORM SPACES

2020 ◽  
Vol 4 (1) ◽  
pp. 29-39
Author(s):  
Dilrabo Eshkobilova ◽  
Keyword(s):  
Compact Support ◽  
Probability Measures ◽  
Uniform Spaces ◽  
Continuous Maps ◽  
Uniformly Continuous

Uniform properties of the functor Iof idempotent probability measures with compact support are studied. It is proved that this functor can be lifted to the category Unif of uniform spaces and uniformly continuous maps

Real-time meshless deformation based on particle system and shape matching

2009 ◽  
Vol 28 (12) ◽  
pp. 3007-3009
Author(s):  
Wang-gen WAN ◽  
Ji-cheng LIN ◽  
Xiao-qing YU ◽  
Huan DING ◽  
Xiao-hui TAN
Keyword(s):  
Real Time ◽  
Shape Matching ◽  
Particle System

A study on the fouling phenomena of a microfiltration membrane

2004 ◽  
Vol 4 (5-6) ◽  
pp. 223-231
Author(s):  
H.-H. Yeh ◽  
W.-H. Wang
Keyword(s):  
Salicylic Acid ◽  
Humic Acid ◽  
Calcium Ion ◽  
Colloidal Particles ◽  
Alginic Acid ◽  
Particle System ◽  
Feed Water ◽  
Permeate Flux ◽  
Widespread Application ◽  
Latex Beads

The utilization of membrane processes for drinking water treatment has become more popular. However, fouling by source water probably is the major factor prohibits its widespread application. In this research, the fouling phenomena of a microfiltration (MF) membrane were studied. The interactions among colloidal particles, calcium ion, and dissolved organics, such as salicylic acid, humic acid, and alginic acid, on MF fouling were focused. A lab-scale single hollow fiber MF membrane, made of polyvinylidenefluoride (PVDF), module was used. The results show that, for single organic compound, the extent of fouling caused by humic acid was higher that of alginic acid. For the latter, the permeate flux decrease at lower pH was more significant than those at higher pH. For low MW salicylic acid, both rejection and flux decrease were minor. It seems that solubility have strong correlation with fouling rate. The higher the solubility is, the lower the fouling rate. For sole colloidal particle system, latex beads with diameter close to the pore size of MF membrane showed severe fouling. Adding Ca can aggregate the latex beads, and alleviate fouling. However, calcium ion also found to increase fouling of alginic acid on membrane under neutral or alkali pH condition, probably via charge neutralization and/or bridging. In conclusion, MF fouling seems to be strongly related to the type of organics, size of colloidal particles, and the existence of divalent ions, in the feed water.

scholarly journals A unified particle system framework for multi-phase, multi-material visual simulations

2017 ◽  
Vol 36 (6) ◽  
pp. 1-13 ◽  
Author(s):  
Tao Yang ◽  
Jian Chang ◽  
Ming C. Lin ◽  
Ralph R. Martin ◽  
Jian J. Zhang ◽  
...  
Keyword(s):  
Particle System ◽  
System Framework ◽  
Multi Phase

scholarly journals Unified particle system for multiple-fluid flow and porous material

2021 ◽  
Vol 40 (4) ◽  
pp. 1-14
Author(s):  
Bo Ren ◽  
Ben Xu ◽  
Chenfeng Li
Keyword(s):  
Fluid Flow ◽  
Porous Material ◽  
Particle System

Generic rotation sets

2020 ◽  
pp. 1-13
Author(s):  
SEBASTIÁN PAVEZ-MOLINA
Keyword(s):  
Dynamical System ◽  
Convex Body ◽  
Probability Measures ◽  
Topological Dynamical System ◽  
Continuous Vector ◽  
Rotation Set ◽  
Vector Valued Function ◽  
Vector Valued ◽  
Uniquely Ergodic ◽  
Dense Set

Abstract Let $(X,T)$ be a topological dynamical system. Given a continuous vector-valued function $F \in C(X, \mathbb {R}^{d})$ called a potential, we define its rotation set $R(F)$ as the set of integrals of F with respect to all T-invariant probability measures, which is a convex body of $\mathbb {R}^{d}$ . In this paper we study the geometry of rotation sets. We prove that if T is a non-uniquely ergodic topological dynamical system with a dense set of periodic measures, then the map $R(\cdot )$ is open with respect to the uniform topologies. As a consequence, we obtain that the rotation set of a generic potential is strictly convex and has $C^{1}$ boundary. Furthermore, we prove that the map $R(\cdot )$ is surjective, extending a result of Kucherenko and Wolf.

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