what is Space-Homogeneous?

Discussion in 'CT4' started by abhishek wagle, Jul 19, 2017.

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  1. In chapter 3, section 5.3 simple random walk on S={...,-2,-2,0,1,2,3,...} it has been stated that simple random walk is space homogeneous. what exactly does space homogeneous mean? and how does it apply to srw? i am not able to undertand the core reading.
     
  2. Mark Mitchell

    Mark Mitchell Member

    Space-homogeneous is described in the ActEd text directly underneath this Core Reading.

    Time-homogeneous means that the probabilities do not depend on the actual times themselves, just the time interval.
    Space-homogeneous means that the probabilities do not depend on the actual states involved, just the distance between them.
     
    abhishek wagle likes this.
  3. okay got it.
     

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