Inverse problem for the quartic mean-field Ising model
This paper presents a thorough examination of the thermodynamic limit of the pressure
function for the mean-field Ising model with four-body interaction. By utilizing a standard …
function for the mean-field Ising model with four-body interaction. By utilizing a standard …
Rates of Convergence of the Magnetization in the Tensor Curie–Weiss Potts Model
In this paper, we derive distributional convergence rates for the magnetization vector and the
maximum pseudolikelihood estimator of the inverse temperature parameter in the tensor …
maximum pseudolikelihood estimator of the inverse temperature parameter in the tensor …
[HTML][HTML] Numerical simulations of AI–human interaction using quintic mean-field Ising model
The growing role of artificial intelligence (AI) in our society presents both benefits and
challenges. To delve deeper into this, we suggest a simulation model that mimics a human …
challenges. To delve deeper into this, we suggest a simulation model that mimics a human …
Local Stability of McKean–Vlasov Equations Arising from Heterogeneous Gibbs Systems Using Limit of Relative Entropies
A family of heterogeneous mean-field systems with jumps is analyzed. These systems are
constructed as a Gibbs measure on block graphs. When the total number of particles goes to …
constructed as a Gibbs measure on block graphs. When the total number of particles goes to …
Cutoff and Metastability for the homogeneous Block Mean-field Potts model
K Mun - arxiv preprint arxiv:2211.11463, 2022 - arxiv.org
In this paper, we study the Potts model on a general graph whose vertices are partitioned
into $ m $ blocks of the same size. The interaction between two spins depends only on …
into $ m $ blocks of the same size. The interaction between two spins depends only on …
Energy Landscape of the Two-Component Curie–Weiss–Potts Model with Three Spins
D Kim - Journal of Statistical Physics, 2022 - Springer
In this paper, we investigate the energy landscape of the two-component spin systems,
known as the Curie–Weiss–Potts model, which is a generalization of the Curie–Weiss model …
known as the Curie–Weiss–Potts model, which is a generalization of the Curie–Weiss model …
Energy Landscape of the Two-component Curie--Weiss--Potts Model with Three Spins
김대철 - 2022 - s-space.snu.ac.kr
In this paper, we investigate the energy landscape of the two-component spin systems,
known as the Curie–Weiss–Potts model, which is a generalization of the Curie–Weiss model …
known as the Curie–Weiss–Potts model, which is a generalization of the Curie–Weiss model …