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Lattice Dynamics of Inequity

Gérard Weisbuch
2018 Journal of Artificial Societies and Social Simulation  
We discuss a model of inequity based on iteration of the Nash multi-agent bargaining game on a lattice. Agent's choices are based on a logit function and gradual decay of memories of past profits.  ...  Numerical simulations demonstrate the stability of various dynamical regimes, such as disorder, fairness or inequity, according to parameters and initial conditions.  ...  Introduction Background on modeling inequalities and classes and the use of dynamics on lattices .  ... 
doi:10.18564/jasss.3635 fatcat:dipcpnqc5rcm5ouclkxqbxly5u

Application of log-Sobolov Inequality to the Stochastic Dynamics of Unbounded Spin Systems on the Lattice

Nobuo Yoshida
2000 Journal of Functional Analysis  
We consider a ferromagnetic lattice spin system with unbounded spins and investigate the relaxation property for the associated stochastic dynamics (the Glauber dynamics) in the finite volume case.  ...  Our result can also be viewed as an extension of the equivalence theorem known for compact spin space settings.  ...  of the finite volume Glauber dynamics in a certain uniform sense.  ... 
doi:10.1006/jfan.1999.3558 fatcat:gpumheq3gfetbajs3lc3btiy64

Effect of segregation on inequality in kinetic models of wealth exchange

Lennart Fernandes, Jacques Tempere
2020 European Physical Journal B : Condensed Matter Physics  
Adding fluctuations to the segregation dynamics, we observe a sharp phase transition to lower inequality at a critical temperature, accompanied by a sudden change in the distribution of the wealthy elite  ...  A spatial concentration of wealth leads to a steady state with increased global inequality and a magnified distinction between local and global measures of combatting poverty.  ...  FIG. 4 : 4 Gini index of inequality in the model with uniform saving factor S0 and segregation dynamics at T = 0.  ... 
doi:10.1140/epjb/e2020-100534-7 fatcat:s7lxdw7qgnf3hgtsdt3nocsb2m

Visible inequality breeds more inequality

Simon Gächter
2015 Nature  
The most striking insight from these findings is the effect of wealth visibility on the dynamics of inequality: conspicuous inequality breeds more inequality.  ...  And how do visibility and social comparisons affect the dynamics of inequality when the relevant game is not one of cooperation but of competition?  ... 
doi:10.1038/526333a pmid:26469042 fatcat:ve3v55a7irhj3pbbqhvsrtpgye

Page 4247 of Mathematical Reviews Vol. , Issue 96g [page]

1996 Mathematical Reviews  
The author studies the behavior of coupled lattices of one- dimensional dynamical systems.  ...  A coupled map lattice is obtained by the coupling of spatially distributed dynamical systems. In this paper such a construction is iterated in order to increase stepwise the complexity.  ... 

On a Test of Neutral Current of a Baryon-Lepton Symmetry Model

M. Nakagawa, M. Yasue
1977 Progress of theoretical physics  
In a previous paper 1 ' one of the authors (M.N.) has proposed an inequality relation which would be a general test of neutral current interaction based on a baryon-lepton symmetry modeP' as follows :  ...  Inequality (1) was derived by means of the parton model on the assumption of valence quark dominance from a general V and A neutral current interaction; where Downloaded from  ...  we consider the lattice vibration of the Bethe lattice, *1 Kogure also studied lattice dynamics of the Cayley tree and its relation to a random walk problem. '' and (17) , show that these contributions  ... 
doi:10.1143/ptp.57.1448 fatcat:kvjurayui5fznetwj3p7sluqvq

Existence of Random Attractors for a Class of Second-Order Lattice Dynamical Systems with Brownian Motions

Yamin Wang, Ziqiao Huang, Fuad E. Alsaadi, Stanislao Lauria, Yurong Liu
2014 Mathematical Problems in Engineering  
This paper is concerned with the random attractors for a class of second-order stochastic lattice dynamical systems.  ...  We first prove the uniqueness and existence of the solutions of second-order stochastic lattice dynamical systems in the spaceF=lλ2×l2.  ...  Lattice dynamical systems (LDSs) are infinite systems of ordinary differential equations, modeled on an underlying spatial lattice with some regular structure, for example, the integer lattice in the plane  ... 
doi:10.1155/2014/970120 fatcat:bp77w5qpcrbjfgidebcjr5khpu

Page 506 of Mathematical Reviews Vol. , Issue 87a [page]

1987 Mathematical Reviews  
Phys. 46 (1976), no. 2, 167-182; MR 52 #16453] established a 87a:82011 STATISTICAL PHYSICS, STRUCTURE OF MATTER 506 general class of inequalities for lattice spin systems.  ...  For example, contained in the general class of inequalities was the Griffiths- Hurst -Sherman inequality and the Lebowitz inequality.  ... 

A Spatially Extended Model for Residential Segregation

Antonio Aguilera, Edgardo Ugalde
2007 Discrete Dynamics in Nature and Society  
This simple model provides a dynamical process organizing the virtual city, in a way that the population inequality and the inflationary parameter determine the degree of residential segregation in the  ...  final stage of the process, in agreement with the segregation-inequality thesis put forward by Douglas Massey.  ...  the curiosity of researchers in the area of dynamical systems [39, 40] .  ... 
doi:10.1155/2007/48589 fatcat:yr45ussfvrf2lhqughanbgtdwq

Study of the ultrametric structure of Finite Dimensional Spin Glasses throught a constrained Monte Carlo dynamics [article]

Angelo Cacciuto (Dipartimento di Fisica and Infn, Universita` di Cagliari)
1997 arXiv   pre-print
We report a very detailed relation about the study, by a constrained Monte Carlo dynamic, of a 4D EA spin glass model (J=+/- 1).  ...  In particular we concentrate our attention on the behaviour of the system under different bounds imposed in order to optimize the dynamic and try to understand the low energy states structure.  ...  the overlaps P(q) at T=1.4 for different sizes of the lattice L=3, 4, 5, Evolution of the probability distribution of overlaps P(q) with a constrained dynamic a T=1.4 for lattice size L=3, 4, 5, 6, 7,  ... 
arXiv:cond-mat/9704053v1 fatcat:germuou3vrf4rkw63noepxrpam

Page 3640 of Mathematical Reviews Vol. , Issue 2001F [page]

2001 Mathematical Reviews  
It is important in terms of number theory since various Diophantine inequalities can be written in terms of the existence of a lattice point in certain subsets of R"; and it is important in terms of dynamical  ...  Diophantine problems and dynamics on the space of lattices: a long survey by S.  ... 

Persistent nonlocality in an ultracold-atom environment [article]

Bradley Longstaff, Jonatan Bohr Brask
2022 arXiv   pre-print
We find that the environment-induced dynamics of the impurity subsystem can generate nonlocal states that are robust against noise and violate a multipartite Bell inequality when projective spin measurements  ...  of time.  ...  Previous analyses of a single impurity atom embedded in a Bose-Hubbard lattice have found that the pure-dephasing dynamics of the impurity can be non-Markovian [38] [39] [40] .  ... 
arXiv:2203.04727v1 fatcat:xovajlykpfhdflyddqqum72o5e

Page 2080 of Mathematical Reviews Vol. , Issue 2001C [page]

2001 Mathematical Reviews  
(English summary) [Application of log-Sobolev inequality to the stochastic dynamics of unbounded spin systems on the lattice] J. Funct. Anal. 173 (2000), no. 1, 74-102.  ...  The stochastic dynamics of a ferromagnetic lattice spin system with unbounded interactions is studied.  ... 

Page 4037 of Mathematical Reviews Vol. , Issue 91G [page]

1991 Mathematical Reviews  
(D-BCHM) Log-Sobolev inequalities for infinite one-dimensional lattice systems.  ...  dynamical system.  ... 

Microscopic friction emulators

Davide Mandelli, Erio Tosatti
2015 Nature  
Experiments with no more than six ions suffice to explore a vast domain of frictional forces.  ...  Cold ions sliding across periodic potential patterns formed by lasers elucidate the physics of dry friction between crystals.  ...  of inequality.  ... 
doi:10.1038/526332a pmid:26469041 fatcat:ztugebot2vfkpmbydquy54yj2q
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