A Brief Introduction to the Triangular System

2021 ◽  
Keyword(s):  
Triangular System

scholarly journals Gapless Quantum Spin Liquid in the Triangular System Sr3CuSb2O9

2020 ◽  
Vol 125 (26) ◽  
Author(s):  
S. Kundu ◽  
Aga Shahee ◽  
Atasi Chakraborty ◽  
K. M. Ranjith ◽  
B. Koo ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Spin Liquid ◽  
Triangular System ◽  
Quantum Spin Liquid

Donsker’s fuzzy invariance principle under the Lindeberg condition

2021 ◽  
Vol 71 (2) ◽  
pp. 439-454
Author(s):  
Roman Urban
Keyword(s):  
Continuous Process ◽  
Unit Interval ◽  
Partial Sums ◽  
Standard Brownian Motion ◽  
Triangular System ◽  
Fuzzy Random Variables ◽  
Support Functions ◽  
Lindeberg Condition ◽  
Fuzzy Setting ◽  
Fuzzy Random

Abstract We prove an analogue of the Donsker theorem under the Lindeberg condition in a fuzzy setting. Specifically, we consider a certain triangular system of d-dimensional fuzzy random variables { X n , i ∗ } , $\begin{array}{} \{X_{n,i}^*\}, \end{array}$ n ∈ ℕ and i = 1, 2, …, kn , which take as their values fuzzy vectors of compact and convex α-cuts. We show that an appropriately normalized and interpolated sequence of partial sums of the system may be associated with a time-continuous process defined on the unit interval t ∈ [0, 1] which, under the assumption of the Lindeberg condition, tends in distribution to a standard Brownian motion in the space of support functions.

Orderings and renormalization‐group flows of a stacked frustrated triangular system in three dimensions

1984 ◽  
Vol 55 (6) ◽  
pp. 2416-2418 ◽  
Author(s):  
A. Nihat Berker ◽  
Gary S. Grest ◽  
C. M. Soukoulis ◽  
Daniel Blankschtein ◽  
M. Ma
Keyword(s):  
Renormalization Group ◽  
Three Dimensions ◽  
Triangular System ◽  
Renormalization Group Flows
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