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What size should my public Lightning Network Payment Channels be?

zerofeerouting asked on twitter what size I recommend for payment channels. I don't know a good answer but strongly suggest to think about Service level Objectives, Bernoulli trials and the probabilistic payment model so I might have a few thoughts about this that do not fit in a single tweet. Thus I thought I spontaneously record this video which I hope will be helpful for people. original tweet:   / 1504727937496539161   Probabilistic path finding paper: https://arxiv.org/abs/2103.08576 Optimally reliable payment flow paper: https://arxiv.org/abs/2107.05322 Efficient sub second run time approximation: https://github.com/renepickhardt/mpp-... Last Mile Problem: https://en.wikipedia.org/wiki/Last_mile Service level Objective: https://en.wikipedia.org/wiki/Service... Bernoulli trials: https://en.wikipedia.org/wiki/Bernoul... Probability Theory: https://en.wikipedia.org/wiki/Probabi... I will appreciate the kindness if you leave a tip at https://donate.ln.rene-pickhardt.de or become a regular patreon of my work over at   / renepickhardt   Thanks to NTNU and BitMEX and all the people who support my work! My web site: https://www.rene-pickhardt.de and Twitter:   / renepickhardt   as well as my lightning node: https://ln.rene-pickhardt.de