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- To Cheer You Up in Difficult Times 31: Federico Ardila's Four Axioms for Cultivating Diversity
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- To Cheer you up in difficult times 30: Irit Dinur, Shai Evra, Ron Livne, Alex Lubotzky, and Shahar Mozes Constructed Locally Testable Codes with Constant Rate, Distance, and Locality

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# Tag Archives: Brownian motion

## Answer to TYI 37: Arithmetic Progressions in 3D Brownian Motion

Consider a Brownian motion in three dimensional space. We asked (TYI 37) What is the largest number of points on the path described by the motion which form an arithmetic progression? (Namely, , so that all are equal.) Here is … Continue reading

Posted in Combinatorics, Open discussion, Probability
Tagged Brownian motion, Gady Kozma, Itai Benjamini
1 Comment

## Test Your Intuition (or simply guess) 37: Arithmetic Progressions for Brownian Motion in Space

Consider a Brownian motion in three dimensional space. What is the largest number of points on the path described by the motion which form an arithmetic progression? (Namely, , so that all are equal.) A 2-D picture; In … Continue reading