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Markov Walker
Time Lord
Level 7: 2384 points
Last Logged In: June 24th, 2021
BADGE: Senator TEAM: The Ørder of the Wild Onion BART Psychogeographical Association Rank 4: Land Surveyor EquivalenZ Rank 3: Protocologist The University of Aesthematics Rank 1: Expert Humanitarian Crisis Rank 2: Justice Biome Rank 1: Hiker Chrononautic Exxon Rank 6: Flux Capacitor Society For Nihilistic Intent And Disruptive Efforts Rank 2: Trickster




15 + 60 points

Keep Marching On by Markov Walker

January 6th, 2010 8:49 PM

INSTRUCTIONS: Destroy a piece of your past.

I made a Markovian walk through my day. That is, I took a random path through the locales I intended to visit, and the process I used to determine that path will had the Markov property. A stochastic process has the Markov property if the next value is only conditioned on the previous value, and not on any of the other values preceding it. On this walk through my day, this means that the probability distribution over my next possible destinations depends only on where I am, and is independent of where I've been earlier. Each roll to determine where to go next destroys all influence where I've been previously will have on where I will go in the future.

To keep things simple I'm using a stationary Markov chain to choose my path. The transition probabilities are presented below. The rows have the current state, while the columns have possible next states. Each cell is the probability of going to that next state (labeled at the top of the column) given that I'm in the current state (labeled at the beginning of the row), along with the range of numbers on a roll of a 10 sided die that would produce that result. Thus, the probabilities across each row sum to 1.

transitionmatri87246.png

I start off in the garage. Notice that the bar is a stopping state, and the home and Target are like a choke points, dividing my day in two. The most probable path for the day is garage -> Casa -> Jewel -> home -> Target -> DePaul -> bar, with a probability of 0.08064.

The actual path I wound up traveling was garage -> Casa -> home -> coffee -> DePaul -> bar, with a path probability of .00336.

The rest of this story is told with the pictures.

- smaller


the tools.jpg

the tools.jpg

my table and a the 10 sided die that decided how I'd go about my day.


ready to move.jpg

ready to move.jpg

I am in the garage at the beginning, ready to go.


first roll (garage).jpg

first roll (garage).jpg

The first roll sends me to La Casa Del Pueblo.


la casa.jpg

la casa.jpg

Arrived at La Casa. Now, all influence of starting at the garage on my future travels is destroyed.


second roll (la casa).jpg

second roll (la casa).jpg

And the die sends me back home.


me at home.jpg

me at home.jpg

Back at home, the fact that I came from La Casa del Pueblo and never went to Jewel to get other groceries has no influence over future future movement.


third roll (home).jpg

third roll (home).jpg

The die sends me from home to coffee


efebos.jpg

efebos.jpg

So I seek efebos for my fix. And now the fact that I did not make my trip to Target to replace my roommate's broken French press has no influence on my future.


efebos inside.jpg

efebos inside.jpg

Inside efebos. I have a friend who doesn't like another coffee shop down the street because there are "too many hipsters" and prefers this place. The way I reckon, if you find yourself complaining about hipsters, chances are you are one.


fourth roll (coffee).jpg

fourth roll (coffee).jpg

My next roll sends me to depaul


depaul.jpg

depaul.jpg

I arrive at DePaul, destroying any influence that getting coffee might have over my future destinations. I still have a 1 in 5 chance of getting coffee as my next step, despite the fact that I just got coffee.


fifth roll (depaul).jpg

fifth roll (depaul).jpg

My last roll finally sends me to the bar for dollar burgers and $3 DTs.


inside bar.jpg

inside bar.jpg

Inside the bar. It sucks. There are TVs everywhere, even a TV right in our booth. Fortunately, we can turn the one in the booth off. But on Wednesday, they have awesome food and beer for cheap.


company.jpg

company.jpg

My company at this bar, and my only reason for putting DePaul on my destination table.



12 vote(s)



Terms

dice, randomness, characterorigins

2 comment(s)

(no subject)
posted by Pixie on August 8th, 2010 9:58 PM

This is one of the most under appreciated praxis this era. This is clever and original and awesome once you wrap your head around it.

I love your style!!!!
Pixie

The Big Red X
posted by SF0 Daemon on April 11th, 2011 8:48 PM

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