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I know how to solve it for an 8 by 8 board.

I do not know how one does infinite similations.

In that case, I think the knight case is similar..

Oh, I hope that is fun!

Yes, let's solve a simpler problem first

I meant, what is the expected time after which you return to the origin in the following random walk?

Start at 0. When in i, with probability 0.5, go to i+1, and with probability 0.5 go to i-1

I can find this value for a finite n. But I do not think taking limit on n makes sense.

What is the mean time of return to the origin when you do a random walk on the integers?

**Agnishom**- Replies: 13

A knight on an unbounded chess board picks one of the possible 8 moves uniformly at random. What is the expected time after which the knight comes back to where it started?

Does a name start with a small letter?

That sounds interesting to me.

Keep going.

Have you heard of Princess Consuela Banana Hammock?

Oh okay, thank you.

Do you have other suggestions?

But this thread is about getting suggestions, so that he knows what is the best to name himself.

Einar is not an unique name. There are people named Einar. We are looking for unique names, like Agnishom. There was no one called Agnishom before me.

How do you pronounce Einar?

He wants to change his name.

Einar sounds like an interesting name. Do you have any more of these? Preferably something original

No, a real name for himself.

**Agnishom**- Replies: 15

Hi;

I have a friend who is looking for a new name for himself. He wants it to be an unique name.

Please suggest ideas.

I beg your pardon, do with what?

Excellent! I am guessing that he was born sometime in 1940s

What did you learn today?

He **always** provides examples and adequate motivation before generalizing something.

Here are some gems by him:

BV Rao wrote:

The more and more notation you use, the more and more you get confused.

BV Rao wrote:

What is n, m, all this non-sense? Take 10, 20, doesn't matter.

BV Rao wrote:

Everything should be absolutely concrete.

His notes are comprehensive and really good.

Did you see his problem set?

Dolon Zeilberger is one of the co-authors.

Why does thou watch robot videos?

Whaaaaat? It is a book about experimental mathematics.