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Cyclic representations of the periodic Temperley-Lieb algebra, complex Virasoro representations and stochastic processes
(Institute of Physics - IOPBristol, 2014-05)
An N (L L/2)-dimensional representation of the periodic Temperley-Lieb algebra TLL(x) is presented. It is also a representation of the cyclic group ZN. We choose x = 1 and define a Hamiltonian as a sum of the generators ...
On fundamental skew distributions
(ELSEVIER INC, 2005)
A new class of multivariate skew-normal distributions, fundamental skew-normal distributions and their canonical version, is developed. It contains the product of independent univariate skew-normal distributions as a special ...
On Stochastic Representation Of Blow-Ups For Distributed Parameter Systems
(2017)
This paper studies the regularity properties of stochastic representation of the stationary solution of the Fokker-Planck equation and related Dirichlet problem. When the correlation structure is exponential, we relate the ...
Robust modeling using the generalized epsilon-skew-t distribution
(TAYLOR & FRANCIS LTD, 2012)
Stochastic Integration With Respect to Cylindrical Semimartingales
(2021)
In this work we introduce a theory of stochastic integration with respect to general cylindrical semimartingales defined on a locally convex space Φ. Our construction of the stochastic integral is based on the theory of ...
Stochastic processes with ZN symmetry and complex Virasoro representations: the partition functions
(Institute of Physics - IOPBristol, 2014-11)
In a previous letter (Alcaraz F C et al 2014 J. Phys. A: Math. Theor. 47 212003) we have presented numerical evidence that a Hamiltonian expressed in terms of the generators of the periodic Temperley-Lieb algebra has, in ...