Monte Carlo Simulation and Mathematical Analysis of Threshold Voltage of Single Electron Transistor

2016 ◽  
Vol 8 (7) ◽  
pp. 552-560 ◽  
Author(s):  
Mayank Chakraverty ◽  
Ritaban Chakravarty ◽  
Vinay Babu ◽  
Kinshuk Gupta
2021 ◽  
Vol 48 (4) ◽  
pp. 53-61
Author(s):  
Andrea Marin ◽  
Carey Williamson

Craps is a simple dice game that is popular in casinos around the world. While the rules for Craps, and its mathematical analysis, are reasonably straightforward, this paper instead focuses on the best ways to cheat at Craps, by using loaded (biased) dice. We use both analytical modeling and simulation modeling to study this intriguing dice game. Our modeling results show that biasing a die away from the value 1 or towards the value 5 lead to the best (and least detectable) cheating strategies, and that modest bias on two loaded dice can increase the winning probability above 50%. Our Monte Carlo simulation results provide validation for our analytical model, and also facilitate the quantitative evaluation of other scenarios, such as heterogeneous or correlated dice.


2021 ◽  
Vol 48 ◽  
pp. 101601
Author(s):  
Ngangbam Phalguni Singh ◽  
Shruti Suman ◽  
Thandaiah Prabu Ramachandran ◽  
Tripti Sharma ◽  
Selvakumar Raja ◽  
...  

2003 ◽  
Author(s):  
Jae Sung Sim ◽  
Jihye Kong ◽  
Jong Duk Lee ◽  
Byung-Gook Park

2002 ◽  
Author(s):  
Akira Fujiwara ◽  
Seiji Horiguchi ◽  
Masao Nagase ◽  
Yasuo Takahashi

2011 ◽  
Vol 25 (17) ◽  
pp. 1487-1501
Author(s):  
ALI SHAHHOSEINI ◽  
KAMYAR SAGHAFI ◽  
MOHAMMAD KAZEM MORAVVEJ-FARSHI ◽  
RAHIM FAEZ

We propose a triple-tunnel junction single electron transistor (TTJ-SET). The proposed structure consists of a metallic quantum-dot island that is capacitive coupled to a gate contact and surrounded by three tunnel junctions. To the best of our knowledge, this is the first instance of introducing this new structure that is suitable for both digital and analog applications. I–V D characteristics of the proposed TTJ-SET, simulated by a HSPICE macro model for various gate voltages, are in excellent agreement with those obtained by SIMON, which is a Monte-Carlo based simulator. We show how one can design a digital inverter by using a single TTJ-SET. We also show that, under suitable conditions, a TTJ-SET can operate as a full- or half-wave analog rectifier.


2001 ◽  
Vol 126 (1) ◽  
pp. 119-128
Author(s):  
A. VAN NES ◽  
M. C. M. DE JONG ◽  
A. J. KERSTEN ◽  
T. G. KIMMAN ◽  
J. H. M. VERHEIJDEN

We describe a major outbreak of pseudorabies virus (PRV) in a sow herd in which the sows were vaccinated simultaneously three times a year with a vaccine containing Bartha strain. Also in the associated rearing herd in which the gilts were vaccinated twice an outbreak of PRV occurred. The outbreak was analysed with mathematical models, statistical methods and Monte-Carlo simulation. Under the assumption that the outbreak started with one introduction of virus the reproduction ratio Rind – as a measure of transmission of PRV between individuals – in the sow herd was estimated with a Generalized Linear Model to be 1·6. Also under the assumption of one introduction of virus Rind in the rearing herd was estimated with a martingale estimator to be 1·7. Both estimates were significantly larger than 1. Mathematical analysis showed that heterogeneity in the sow herd, because of the presence of not-optimally immunized replacement sows could not be the only cause of the observed outbreak in the sow herd. With Monte-Carlo simulations, the duration of an outbreak after a single introduction of virus and Rind = 1·6 did not mimic the data and thus the hypothesis of a single introduction with Rind = 1·6 could also be rejected and Rind is thus, not necessarily above 1. Moreover, with statistical analysis, endemicity in the combination of herds as a cause for the observed outbreak could be rejected. Endemicity in the rearing herd alone could not be excluded. Therefore, multiple introductions from outside and most probably from the rearing herd were possibly the cause of the observed outbreak(s). The implications for eradication of pseudorabies virus were discussed.


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