I think this is the new logo for my #R #package RandomWalker

#RStats #RProgramming #RandomWalks #StochasticProcess #1DWalks #2DWalks #3DWalks all coming

A drunk man will find his way home, but a drunk bird may get lost forever.” What is this sentence about?

In 2D, the random walk is “recurrent”, i.e. you are guaranteed to go back to where you started; but in 3D, the random walk is “transient”, the opposite of “recurrent”. In fact, for the 2D case, that also means that you are guaranteed to go to ALL places in the world (the only constraint is, of course, time). [Think about why.]

Markov chains are also an important tool in modelling the real world, and so I feel like this is a good excuse for bringing it up.

At the end, I also compare this phenomenon to Stein’s paradox – in both cases, there is a cutoff between 2 and 3 dimensions, and they have similar intuitive explanation – is that a coincidence?

Random walks in 2D and 3D are fundamentally different

#MarkovChain #MarkovChains #Math #Mathematics #nowWatching #randomWalk #randomness #StochasticProcess #YouTube

Assuming ergodicity has not *once* let me down, and this time will not be an exception.

(Me discussing plans when to go see Dune 2 in cinema with my flatmate)

#StochasticProcess #MathHumor #IfYouWalkWithoutRhythmYouWontAttractTheWorm

@ldebowsk Adding variants of the #HashTags ...

#MutualInformation
#InformationTheory
#StochasticProcess
#ExcessEntropy
#KolmogorovComplexity
#AlgorithmicRandomness
#LargeLanguageModel
#NeuralNetwork
#PowerLaw
#UniversalCoding

(Just to help discoverability)

#introduction I am an evolutionary biologist interested by the origins of life and evolutionary transitions in individuality #ETI. I do #theory inspired by #ExperimentalEvolution.

I'd like to understand how living systems emerge and change scale.

I enjoy various approaches such as #Math #Models (#StochasticProcess, #DynamicalSystems, and #AdaptiveDynamics in particular), #PhilosophyOfScience, #Bioinformatics and #Dataviz.

I am a #FOSS and #OpenScience enthusiast. Nice to meet you all !