Schramm Loewner evolution












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$begingroup$


I read on Conformally Invariant Processes in the Plane that the $SLE_k$ are generated by a path, what does it mean?
I know that for $k le 4$ the $mathbb{H}$-hulls associated is a simple curve, but in the other cases i don't think it is still a curve...
Someone help me please










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  • $begingroup$
    My guess is that $K_t$ is equal to $gamma(0,t]$ union the bounded connected component of $mathbb{H} setminus gamma(0,t]$, but i don' t know if it is ok
    $endgroup$
    – Claudio Delfino
    Jan 28 at 22:43
















0












$begingroup$


I read on Conformally Invariant Processes in the Plane that the $SLE_k$ are generated by a path, what does it mean?
I know that for $k le 4$ the $mathbb{H}$-hulls associated is a simple curve, but in the other cases i don't think it is still a curve...
Someone help me please










share|cite|improve this question









$endgroup$












  • $begingroup$
    My guess is that $K_t$ is equal to $gamma(0,t]$ union the bounded connected component of $mathbb{H} setminus gamma(0,t]$, but i don' t know if it is ok
    $endgroup$
    – Claudio Delfino
    Jan 28 at 22:43














0












0








0





$begingroup$


I read on Conformally Invariant Processes in the Plane that the $SLE_k$ are generated by a path, what does it mean?
I know that for $k le 4$ the $mathbb{H}$-hulls associated is a simple curve, but in the other cases i don't think it is still a curve...
Someone help me please










share|cite|improve this question









$endgroup$




I read on Conformally Invariant Processes in the Plane that the $SLE_k$ are generated by a path, what does it mean?
I know that for $k le 4$ the $mathbb{H}$-hulls associated is a simple curve, but in the other cases i don't think it is still a curve...
Someone help me please







probability-theory






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 28 at 22:33









Claudio DelfinoClaudio Delfino

63




63












  • $begingroup$
    My guess is that $K_t$ is equal to $gamma(0,t]$ union the bounded connected component of $mathbb{H} setminus gamma(0,t]$, but i don' t know if it is ok
    $endgroup$
    – Claudio Delfino
    Jan 28 at 22:43


















  • $begingroup$
    My guess is that $K_t$ is equal to $gamma(0,t]$ union the bounded connected component of $mathbb{H} setminus gamma(0,t]$, but i don' t know if it is ok
    $endgroup$
    – Claudio Delfino
    Jan 28 at 22:43
















$begingroup$
My guess is that $K_t$ is equal to $gamma(0,t]$ union the bounded connected component of $mathbb{H} setminus gamma(0,t]$, but i don' t know if it is ok
$endgroup$
– Claudio Delfino
Jan 28 at 22:43




$begingroup$
My guess is that $K_t$ is equal to $gamma(0,t]$ union the bounded connected component of $mathbb{H} setminus gamma(0,t]$, but i don' t know if it is ok
$endgroup$
– Claudio Delfino
Jan 28 at 22:43










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