Solve all equestions

Consider a Markov chain {Xn, n = 0, 1, . .. } on the state space S = {0, 1, 2}. Suppose that the Markov chain has the transition matrix 0 P = 1 0 0 NIH 1. Show that the state space is irreducible. 2. Show that the Markov chain is periodic. Find the period of the Markov chain. 3. Let h denote a stationary mass of the Markov chain. Find h(x) for all x E S.3.1. Consider the standard Hamiltonian for a system of NV identical particles H =\\ PL+U(1 1, .., IN). 2m a. Show that the microcanonical partition function can be expressed in the form n ( N, V. E) - MN / dE AND6 ( E Pi E 2m DIV) d' ro ( U( r , . . . . . PN ) - E +E) . which provides a way to separate the kinetic and potential contributions to the partition function. b. Based on the result of part a, show that the partition function can, there- fore, be expressed as Eo 25m 3/27 N n(N. V.E) = NIT (IN) ha dr E-U(1. ...IN )]BN/2-19(E -U(ri. .IN)). where (z) is the Heaviside step function.Question 17 Not yet answered Marked out of 1.00 Flag question An amount of RO 365 is wrongly recorded as RO 356 in the journal. What is the type of error in this transaction? a. Compensating error b. Error of principle c. Error of commission d. Error of omission Clear my choice