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Showing 2010 · math.PRShow all
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math.PR2010★ 12 cited
Time inhomogeneous Markov chains with wave-like behavior
L. Saloff-Coste, J. Zúñiga
Starting from a given Markov kernel on a finite set and a bijection of , we construct and study a time inhomogeneous Markov chain whose kernel at time is obtained fr…
math.PR2010★ 55 cited
Evolutionary dynamics of tumor progression with random fitness values
Rick Durrett, Jasmine Foo, Kevin Leder +2
Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as d…
math.PR2010★ 3 cited
Long Strange Segments, Ruin Probabilities and the Effect of Memory on Moving Average Processes
Souvik Ghosh, Gennady Samorodnitsky
We obtain the rate of growth of long strange segments and the rate of decay of infinite horizon ruin probabilities for a class of infinite moving average processes with exponential…