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Branching processes in homogeneous and inhomogeneous environment

Branching processes in homogeneous and inhomogeneous environment. VLADIMIR VATUTIN ( Steklov Mathematical Instutute ) Moscow, Russia. Ivan the Terrible is killing his son (Painter - Il’ya Repin). RURK DYNASTY (8??-1598). Viking RURK. Ivan IV (The Terrible). Ivan ( killed by

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Branching processes in homogeneous and inhomogeneous environment

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  1. Branching processes in homogeneous and inhomogeneous environment VLADIMIR VATUTIN (Steklov Mathematical Instutute) Moscow, Russia

  2. Ivan the Terrible is killing his son (Painter - Il’ya Repin)

  3. RURK DYNASTY (8??-1598) Viking RURK ... Ivan IV (The Terrible) Ivan (killed by his father in 1581) Dmitrii (died in 1591 of an epileptic fit) Fedor died in 1598

  4. ROMANOV-GOTTORP DYNASTY (1613-1917) Alexandr III Nikolay II Alexei

  5. ROMANOV-GOTTORP DYNASTY (1613-1917) Alexandr III Rasputin Nikolay II Alexei

  6. T. R. Malthus : An Essay on the Principle of Population as it Affects the Future of Society, 1798) • 379 out of 487 bourgeois families in the city Berne extinct between 1583 and 1783 • The proportion of extinct families is 379/487, that is more than 0.75 (!) in approximately 6 generations

  7. Mitochondrial DNA • Mitochondrial DNA • Nonfertilized egg includes up to 10000 mitochondrial DNA Egg Nuclear DNA 37 genes Sperm -50 mtDNA

  8. Mitochondrial DNA . Fertilized egg Mitochondrial DNA • . Egg 10000+50 mtDNA Nuclear DNA Nuclear DNA 37 genes Sperm -50 mtDNA

  9. Distance to the most recent common ancestor T=(the average time between mutations)X(totalnumber of mutations)/2 1 2

  10. The time of the birth of the “Amerindian” Eve • Using molecular data that were obtained as part of study on the mitochondrial variation observed in Amerindian populations in the US one can conclude by the methods of branching processes that Americas were settled about 20,000 years ago. (March 2, 2001 issue of Science).

  11. North Atlanitic Right Whale

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