Timeline for Galton Watson tree with various kinds of offspring
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Oct 11, 2018 at 21:47 | comment | added | Marcus M | I don't follow your update; it appears from what you wrote that each type can only have children of its own type (i.e. $f^i$ only depends on $s_i$). Is this what you wanted? | |
| Oct 8, 2018 at 17:16 | comment | added | M. Dus | Is it on purpose that sad faces only have sad children ? According to your description, it seems that it is not. If so, maybe you should arrange the picture. | |
| Oct 8, 2018 at 16:57 | history | edited | Wiliam | CC BY-SA 4.0 |
added 760 characters in body
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| Oct 8, 2018 at 16:39 | history | edited | Wiliam | CC BY-SA 4.0 |
deleted 150 characters in body
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| Oct 6, 2018 at 15:20 | comment | added | Marcus M | This situation is definitely in the literature; these are typically called multi-type branching processes (rather than Galton-Watson processes). You can see an overview here, or check out the book by Mode on multitype processes for more information. | |
| Oct 5, 2018 at 16:58 | history | edited | Federico Poloni | CC BY-SA 4.0 |
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| Oct 5, 2018 at 16:51 | history | edited | Martin Sleziak |
Removed the deprecated (discrete-mathematics) tag - see the tag info: https://mathoverflow.net/tags/discrete-mathematics/info (if there are some other suitable tags, choose some of them instead)
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| Oct 5, 2018 at 13:20 | comment | added | Anthony Quas | I think you need two generating functions $H$ and $S$ in two variables: $h$ and $s$. Try googling multi-type Galton Watson process. | |
| Oct 5, 2018 at 12:53 | history | asked | Wiliam | CC BY-SA 4.0 |