In an Inverted Page Table, will following chains happen very often for small addresses?
According to my knowledge, inverted page table has an entry for each physical frame, not for each logical page.

It is usually designed as a Hash table, where the Hash function takes both the task id and the page number as parameters. Thus (task A, address X) and (task B, address X) will not be likely to produce the same Hash value.

Does that answer your question?