What now for Uzbekistan?

It looks like Islam Karimov the dictator of Uzbekistan since it gained independence a quarter of a century ago has died. Before the collapse of the USSR he was head of the CPSU in Uzbekistan. The only Central Asian leader still alive that came to power during Soviet times is now Nazarbayev in Kazakhstan. Given that Uzbekistan hasn't known any other leadership other than the iron fist of Karimov for so long the political future of the country is up for speculation. Feel free to engage in such speculation in the comments.