scholarly journals Multiplicative free square of the free Poisson measure and examples of free symmetrization

2010 ◽  
Vol 119 (1) ◽  
pp. 127-136 ◽  
Author(s):  
Melanie Hinz ◽  
Wojciech Młotkowski
Keyword(s):  
1999 ◽  
Vol 11 (01) ◽  
pp. 1-23 ◽  
Author(s):  
S. ALBEVERIO ◽  
YU. G. KONDRATIEV ◽  
M. RÖCKNER

The constuction of models of non-relativistic quantum fields via current algebra representations is presented using a natural differential geometry of the configuration space Γ of particles, the corresponding classical Dirichlet operator associated with a Poisson measure on Γ, being the free Hamiltonian. The case with interactions is also discussed together with its relation to the problem of unitary representations of the diffeomorphism group on ℝd.


1971 ◽  
Vol 11 (1) ◽  
pp. 93-108
Author(s):  
B. Grigelionis

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: Б. Григелионис. О представлении целочисленных случайных мер как стохастических интегралов по пуассоновской мере B. Grigelionis. Apie atsitiktinių matų su sveikomis reikšmėmis išreiškimų stochastiniais integralais Puasono mato atžvilgiu


2011 ◽  
Vol 123 (2) ◽  
pp. 285-290 ◽  
Author(s):  
Melanie Hinz ◽  
Wojciech Młotkowski
Keyword(s):  

2015 ◽  
Vol 23 (3) ◽  
Author(s):  
Sadibou Aidara ◽  
Ahmadou Bamba Sow

AbstractIn this work we deal with a anticipated backward doubly stochastic differential equation associated to a random Poisson measure. We establish existence and uniqueness of solution in the case of non-Lipschitz coefficients. The novelty of our result lies in the fact that we allow the time interval to be infinite.


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