scholarly journals Functional quantization of rough volatility and applications to the VIX

2021 ◽  
Author(s):  
Ofelia Bonesini ◽  
Giorgia Callegaro ◽  
Antoine Jacquier
Author(s):  
Christian Bayer ◽  
Peter K. Friz ◽  
Jim Gatheral
Keyword(s):  

2019 ◽  
Vol 10 (2) ◽  
pp. 309-349 ◽  
Author(s):  
Eduardo Abi Jaber ◽  
Omar El Euch

1993 ◽  
Vol 08 (06) ◽  
pp. 1041-1057 ◽  
Author(s):  
ZBIGNIEW JASKÓLSKI

The functional quantization of the Liouville gravity on bordered surfaces in the conformal gauge is developed. It was shown that the geometrical interpretation of the Polyakov path integral as a sum over bordered surfaces uniquely determines the boundary conditions for the fields involved. The gravitational scaling dimensions of boundary and bulk operators and the critical exponents are derived. In particular the boundary Hausdorff dimension is calculated.


Author(s):  
Vinith Misra ◽  
Vivek K. Goyal ◽  
Lav R. Varshney

2018 ◽  
Vol 22 (2) ◽  
pp. 241-280 ◽  
Author(s):  
Omar El Euch ◽  
Masaaki Fukasawa ◽  
Mathieu Rosenbaum

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