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Zeb

@zebm.bsky.social
28 followers 22 following 343 posts

Mathematical software developer. Resident of the formerly civilised UK.

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Zeb @zebm.bsky.social · 29/09/2026
#MathSky #StatsSky #EduSky The Galton–Watson process as a game stochanswers.com/education/ex...
stochanswers.com
Extinction
The card and die game
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Zeb @zebm.bsky.social · 15/09/2026
#EpiSky #MathSky #StatsSky #EduSky A trivial ABM and basic probability theory used to derive the standard SIR model of epidemiology. Now to find a journal that doesn't mind debunking. github.com/stochanswers...
github.com
papers/minimal.pdf at main · stochanswers/papers
Contribute to stochanswers/papers development by creating an account on GitHub.
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Zeb @zebm.bsky.social · 05/09/2026
#StatsSky #MathSky #EduSky A stochastic game stochanswers.com/education/pe...
stochanswers.com
Percolation
The board game
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Zeb @zebm.bsky.social · 02/07/2026
#MathSky #EduSky #EpiSky An online card game / stochastic simulation of an epidemic stochanswers.com/education/ep...
stochanswers.com
Epidemic
The card game
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Zeb @zebm.bsky.social · 28/06/2026
#MathSky #EpiSky #EduSky I've just implemented a JavaScript version of my epidemic simulation game (which averages to the standard SIR model) so that people don't need to run around. stochanswers.com/education/ta...
stochanswers.com
Epidemiological tag
Maths in the playground
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Zeb @zebm.bsky.social · 23/06/2026
#MathSky #EduSky A JavaScript implementation of the Avalanche board game by Per Bak. stochanswers.com/education/av...
stochanswers.com
Avalanche
The board game
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Zeb @zebm.bsky.social · 03/06/2026
#MathSky #EduSky With the school holidays approaching it is important for children's development that they experience sheer and utter boredom. This game of traffic congestion may help. stochanswers.com/education/tr...
stochanswers.com
Traffic congestion
The bored game
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Zeb @zebm.bsky.social · 10/05/2026
#EpiSky 1798 - Malthus - populations grow exponentially 1840 - Farr - data shows non-exponential for epidemics 1859 - Darwin - disproves Malthus using basic Maths 1927 - Kermack-McKendrick - logistic growth 2020 - Why the failure in basic education of public health officials, etc?
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Zeb @zebm.bsky.social · 31/03/2026
Modelling on two edges of the Lumley triangle is much easier than general anisotropy. The traditional Reynolds stress models fail a constraint equation there. #MathSky #CFD stochanswers.com/studies/axis...
stochanswers.com
Modelling of axisymmetric turbulence
Where RSMs fail
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Zeb @zebm.bsky.social · 07/11/2025
Three instances of the same Mathematical model. Tag, cards, NetLogo #EduSky #MathSky #EpiSky stochanswers.com/company/abst...
stochanswers.com
Mathematics is merely abstraction
Three models that are the same
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Zeb @zebm.bsky.social · 24/09/2025
A DNS of turbulence model that nearly works and runs on a laptop. #CFD #MathSky stochanswers.com/studies/deca...
stochanswers.com
Discrete isotropic turbulence
decay of
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Zeb @zebm.bsky.social · 21/09/2025
A teachers guide to the modelling of epidemics #MathSky #StatsSky #EpiSky #EduSky github.com/stochanswers...
github.com
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Zeb @zebm.bsky.social · 03/09/2025
You can run in your browser a #NetLogo implementation of the SI variant of my discrete stochastic epidemic model. #MathSky #EpiSky #EduSky #StatsSky stochanswers.com/downloads/ep...
stochanswers.com
Minimal SIS model
in NetLogo
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Zeb @zebm.bsky.social · 31/08/2025
An implementation of the SI variant of my discrete stochastic epidemic model in the free #NetLogo environment. #MathSky #EduSky #EpiSky #StatsSky stochanswers.com/downloads/ep...
stochanswers.com
Minimal SI model
in NetLogo
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Zeb @zebm.bsky.social · 27/08/2025
An implementation of my epidemic model in the free #NetLogo environment. #MathSky #EduSky #EpiSky stochanswers.com/downloads/ep...
stochanswers.com
Minimal SIR model
in NetLogo
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Zeb @zebm.bsky.social · 16/06/2025
Are insurance premiums log-normal, Pareto, Gamma or Weibull distributed? Or maybe affine so that what looks like a log-normal has power law tails. stochanswers.com/studies/insu... #StatsSky #MathSky
stochanswers.com
Affine growth of insurance premiums
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Zeb @zebm.bsky.social · 15/06/2025
Economists use Gibrat (log-normal) for wealth except at the right tail when they say Pareto. An obvious fudge. Affine returns has power-law tails and can look like a log-normal. stochanswers.com/studies/weal... #StatsSky #EconSky #MathSky
stochanswers.com
Affine growth of wealth
Not two tier
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Zeb @zebm.bsky.social · 14/06/2025
Wave heights are commonly modelled using the Rayleigh, Weibull, Generalized Gamma and log-normal distributions. Why not the distribution resulting from an affine process? #StatsSky stochanswers.com/studies/wave...
stochanswers.com
Affine growth of wave heights
Surfs up
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Zeb @zebm.bsky.social · 13/06/2025
Hurricane strength is commonly modelled using a Weibull or a log-normal distribution. Why not the distribution resulting from an affine process? #statssky stochanswers.com/studies/hurr...
stochanswers.com
Affine growth of hurricane speeds
From 1 to 5
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Zeb @zebm.bsky.social · 12/06/2025
River heights are usually fitted by the log-normal, Gamma, Generalized Extreme Value, Weibull and Pareto distributions. So why not just use a different one which has fat tails? #statssky #hydrology stochanswers.com/studies/rive...
stochanswers.com
Affine growth of river heights
From trickle to flood
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Zeb @zebm.bsky.social · 05/06/2025
NBA player height isn't normal #Stats #StatsEd stochanswers.com/studies/heig...
stochanswers.com
Affine growth of NBA players
And other adults
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Zeb @zebm.bsky.social · 19/05/2025
In the 1998 crash GBM was seen not to be sufficient. My model uses affine returns to get a better fit. This results in a combination of GBM and another motion - a mixture distribution of the log-normal plus another. stochanswers.com/studies/fina... #MathSky #StatSky #finance
stochanswers.com
Stock growth
Not exponential
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Zeb @zebm.bsky.social · 19/05/2025
In the 1998 crash GBM was seen not to be sufficient. My model uses affine returns to get a better fit. This results in a combination of GBM and another motion - a mixture distribution of the log-normal plus another. stochanswers.com/studies/fina...
stochanswers.com
Stock growth
Not exponential
000
Zeb @zebm.bsky.social · 19/05/2025
In the 1998 crash GBM was seen not to be sufficient. My model uses affine returns to get a better fit. This results in a combination of GBM and another motion - a mixture distribution of the log-normal plus another. stochanswers.com/studies/fina...
stochanswers.com
Stock growth
Not exponential
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Zeb @zebm.bsky.social · 15/04/2025
Know someone suffering from #anxiety because they falsely believe that epidemics grow exponentially? Then each them a card game that simulates an epidemic #mentalillness #psychsky #psychology stochanswers.com/education/ep...
stochanswers.com
Epidemic
The card game
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Zeb @zebm.bsky.social · 11/04/2025
#stats #epidemiology #MathSky #EduSky Maths in the playground stochanswers.com/education/ta...
stochanswers.com
Epidemiological tag
Maths in the playground
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Zeb @zebm.bsky.social · 22/11/2024
#MedSky why don't you relax this weekend and forget about epidemics growing exponentially by playing a card game (with logistic growth)? stochanswers.com/education/ep...
stochanswers.com
Epidemic
The card game
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Zeb @zebm.bsky.social · 14/11/2024
For anyone interested in teaching discrete stochastic processes I have a card game #MTBoS #iteachmath stochanswers.com/education/ep...
stochanswers.com
Epidemic
The card game
000
Zeb @zebm.bsky.social · 06/10/2024
Has anyone seen this equation before? #mathsky #statssky
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Zeb @zebm.bsky.social · 30/09/2024
A video on epidemiological modelling aimed at ages 16+. #EduSky #StatsSky #MathSky www.youtube.com/watch?v=TrlG...
youtube.com
Epidemiological modelling for Maths students
YouTube video by Zeb Mason
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Zeb @zebm.bsky.social · 27/09/2024
A sixth game from a stochastic process #MathSky #StatsSky #EduSky stochanswers.com/education/ch...
stochanswers.com
Chinese restaurant
The card game
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Zeb @zebm.bsky.social · 26/09/2024
A fifth game from a stochastic process #mathsky #statssky stochanswers.com/education/ri...
stochanswers.com
Get rich
The card game
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Zeb @zebm.bsky.social · 25/09/2024
I could only find one book about Kolmogorov-Arnold networks on Amazon, it's getting returned. I enclose the entirety of Appendix A, I assume neither Maths nor accuracy were the authors strong points. #statsky #mathsky
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Zeb @zebm.bsky.social · 20/09/2024
#StatsSky #MathSky #EduSky Actual exponential growth and not the "strong growth" that compound interest doesn't give me on my savings account. stochanswers.com/education/gr...
stochanswers.com
Exponential growth
The coin game
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Zeb @zebm.bsky.social · 15/09/2024
Two different card games averaging to exponential decay, two different probability distributions. A test for you - what's the 'significance'? #MathSky #StatsSky #EduSky stochanswers.com/education/de...
stochanswers.com
Exponential decay
The card game
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Zeb @zebm.bsky.social · 03/09/2024
How to simulate an epidemic with two packs of cards (averages to the standard SIR model). #EpiSky #MedSky stochanswers.com/education/ep...
stochanswers.com
Epidemic
The card game
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