On the Mortality Problem: from multiplicative matrix equations to linear recurrence sequences and beyond

Paul C. Bell, Igor Potapov, Pavel Semukhin

We consider the following variant of the Mortality Problem: given $k\times k$ matrices $A_1,A_2,\dots ,A_t$, does there exist nonnegative integers $m_1,m_2,\dots ,m_t$ such tha…