All good mathematical problems are recreational mathematics, but not all correct solutions are.

Jan's open problems

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On this page, I am planning to post some open problems in probability theory that I have ran into during my work and that I find interesting but have not managed to solve due to a lack of time or a lack of good ideas. Some are probably very hard, others hopefully more doable. If you make any progress on any of these problems or have interesting side remarks then I very much appreciate hearing about it.

• The half-sphere SDE
• The autodiffusive equation
• Parity preserving branching and annihilation
• Sharpness of the phase transition for local survival

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Jan Swart, Last update: 12.07.2023.