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How to go from probability distribution to transitions probability distribution?

There are many possibilities. If I understand correctly, you are asking given a distribution, how to get a Markov chain (like in your example, or a stochastic process more generally) which leaves it ...
LPZ's user avatar
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A question about time evolution of position distributions

Then, can I describe the transform between the two distributions as $$P’(x) = \int P(a) D(a, x-a, t’, t)da $$ over all space. No. Not in general, if you want to include quantum mechanics. It is well ...
hft's user avatar
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Marginal characteristic function from a multivariate charateristic function

I think it's simpler: given the characteristic function $$G(k_1, k_2) = \int dx_1 dx_2 e^{ik_1 x_1} e^{ik_2 x_2} p(x_1, x_2) \, ,$$ setting $k_2=0$ gives $$G(k_1, 0) = \int dx_1 e^{ik_1 x_1} \int dx_2 ...
MBolin's user avatar
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How would one calculate the actual probability of a macro event given what we know of physics?

Suppose I wanted to calculate the “true” probability of me tossing a coin tomorrow and it landing on heads. Now, even though we often say that this is 50%, correct me if I’m wrong, but this can’t be ...
alanf's user avatar
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1 vote

How would one calculate the actual probability of a macro event given what we know of physics?

Suppose I wanted to calculate the “true” probability of me tossing a coin tomorrow and it landing on heads. This is the joint probability of two events, $ P(A,B) $, with $$ A= \text{You tossing a ...
Javi's user avatar
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How would one calculate the actual probability of a macro event given what we know of physics?

In classical probability theory we can in principle calculate the probability of a state B occurring at some time after a state A by considering all of the possible routes from A to B and adding up ...
gandalf61's user avatar
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Statistical independence of $x,y,z$ dimensions for Maxwell velocity distribution function

the assertion that $v_x = v$ doesn't mean much the other velocities, other than they are unlikely to be large. There is no preferred direction and physics doesn't care about your coordinates. Try to ...
JEB's user avatar
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Why do the Schrödinger and Dirac equations contain the mass?

I think you are confusing the concepts of evolution and collapse of the wavefunction: The collapse of the wavefunction is that non-deterministic effect that everyone finds so un-intuitive and non-...
Gabriel Ybarra Marcaida's user avatar

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