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expected time for all balls to be put in urn 2 Ehrenfest model

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0

$begingroup$

I am trying to calculate the maximal hitting time of the Lazy Random Walk on the $n$-dimensional hypercube(I know it is $2^n$). I'm using the Ehrenfest urn model. Let $X_t$ be the number of balls in Urn 1 in time $t$, $tau_x=inft>0$ the hitting time of $x$. The question is how to calculate the expected time, so that starting with all balls in Urn $1$, we end with all the balls in Urn $2$ and more precisely $mathbbE_n(tau_0)=$?

Thank you in advance!

probability probability-theory stochastic-processes stochastic-calculus balls-in-bins

share|cite|improve this question

edited Mar 14 at 16:21

Max

9071318

asked Mar 14 at 16:11

Magdalena SavovaMagdalena Savova

12

$endgroup$

add a comment | 

0

$begingroup$

I am trying to calculate the maximal hitting time of the Lazy Random Walk on the $n$-dimensional hypercube(I know it is $2^n$). I'm using the Ehrenfest urn model. Let $X_t$ be the number of balls in Urn 1 in time $t$, $tau_x=inft>0$ the hitting time of $x$. The question is how to calculate the expected time, so that starting with all balls in Urn $1$, we end with all the balls in Urn $2$ and more precisely $mathbbE_n(tau_0)=$?

Thank you in advance!

probability probability-theory stochastic-processes stochastic-calculus balls-in-bins

share|cite|improve this question

edited Mar 14 at 16:21

Max

9071318

asked Mar 14 at 16:11

Magdalena SavovaMagdalena Savova

12

$endgroup$

add a comment | 

$begingroup$

I am trying to calculate the maximal hitting time of the Lazy Random Walk on the $n$-dimensional hypercube(I know it is $2^n$). I'm using the Ehrenfest urn model. Let $X_t$ be the number of balls in Urn 1 in time $t$, $tau_x=inft>0$ the hitting time of $x$. The question is how to calculate the expected time, so that starting with all balls in Urn $1$, we end with all the balls in Urn $2$ and more precisely $mathbbE_n(tau_0)=$?

Thank you in advance!

probability probability-theory stochastic-processes stochastic-calculus balls-in-bins

share|cite|improve this question

edited Mar 14 at 16:21

Max

9071318

asked Mar 14 at 16:11

Magdalena SavovaMagdalena Savova

12

$endgroup$

share|cite|improve this question

edited Mar 14 at 16:21

Max

9071318

asked Mar 14 at 16:11

Magdalena SavovaMagdalena Savova

12

share|cite|improve this question

edited Mar 14 at 16:21

Max

9071318

asked Mar 14 at 16:11

Magdalena SavovaMagdalena Savova

12

edited Mar 14 at 16:21

Max

9071318

edited Mar 14 at 16:21

Max

9071318

asked Mar 14 at 16:11

Magdalena SavovaMagdalena Savova

12

asked Mar 14 at 16:11

Magdalena SavovaMagdalena Savova

12