Reference Markov martingale Harmonic function












1












$begingroup$


I've just finished a course of stochastic process (discret martingale and markov chain).



I would like to go further, I heard it exists a link between martingale markov process and harmonic functions.



Do you have any reference to go deeper in this way ?



Thank you !



EDIT : Maybe you can give me some name of theory in which this kind of problem is studied, it would help me to find some books :). Thank you again.










share|cite|improve this question











$endgroup$












  • $begingroup$
    Are you interested in the time-discrete or in the time-continuous setting?
    $endgroup$
    – saz
    Dec 8 '18 at 17:58










  • $begingroup$
    I know only time discrete but if the book teach me what I need for time continuous it's okay :).
    $endgroup$
    – CechMS
    Dec 9 '18 at 7:46
















1












$begingroup$


I've just finished a course of stochastic process (discret martingale and markov chain).



I would like to go further, I heard it exists a link between martingale markov process and harmonic functions.



Do you have any reference to go deeper in this way ?



Thank you !



EDIT : Maybe you can give me some name of theory in which this kind of problem is studied, it would help me to find some books :). Thank you again.










share|cite|improve this question











$endgroup$












  • $begingroup$
    Are you interested in the time-discrete or in the time-continuous setting?
    $endgroup$
    – saz
    Dec 8 '18 at 17:58










  • $begingroup$
    I know only time discrete but if the book teach me what I need for time continuous it's okay :).
    $endgroup$
    – CechMS
    Dec 9 '18 at 7:46














1












1








1





$begingroup$


I've just finished a course of stochastic process (discret martingale and markov chain).



I would like to go further, I heard it exists a link between martingale markov process and harmonic functions.



Do you have any reference to go deeper in this way ?



Thank you !



EDIT : Maybe you can give me some name of theory in which this kind of problem is studied, it would help me to find some books :). Thank you again.










share|cite|improve this question











$endgroup$




I've just finished a course of stochastic process (discret martingale and markov chain).



I would like to go further, I heard it exists a link between martingale markov process and harmonic functions.



Do you have any reference to go deeper in this way ?



Thank you !



EDIT : Maybe you can give me some name of theory in which this kind of problem is studied, it would help me to find some books :). Thank you again.







reference-request stochastic-processes markov-chains martingales harmonic-functions






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 9 '18 at 7:53







CechMS

















asked Dec 8 '18 at 17:04









CechMSCechMS

397




397












  • $begingroup$
    Are you interested in the time-discrete or in the time-continuous setting?
    $endgroup$
    – saz
    Dec 8 '18 at 17:58










  • $begingroup$
    I know only time discrete but if the book teach me what I need for time continuous it's okay :).
    $endgroup$
    – CechMS
    Dec 9 '18 at 7:46


















  • $begingroup$
    Are you interested in the time-discrete or in the time-continuous setting?
    $endgroup$
    – saz
    Dec 8 '18 at 17:58










  • $begingroup$
    I know only time discrete but if the book teach me what I need for time continuous it's okay :).
    $endgroup$
    – CechMS
    Dec 9 '18 at 7:46
















$begingroup$
Are you interested in the time-discrete or in the time-continuous setting?
$endgroup$
– saz
Dec 8 '18 at 17:58




$begingroup$
Are you interested in the time-discrete or in the time-continuous setting?
$endgroup$
– saz
Dec 8 '18 at 17:58












$begingroup$
I know only time discrete but if the book teach me what I need for time continuous it's okay :).
$endgroup$
– CechMS
Dec 9 '18 at 7:46




$begingroup$
I know only time discrete but if the book teach me what I need for time continuous it's okay :).
$endgroup$
– CechMS
Dec 9 '18 at 7:46










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