Explicit
invariant measures for infinite dimensional SDE driven by Lévy noise with
dissipative nonlinear drift I. Commun. Math. Sci. 15(4), pp.957-983 (2017). (with S. Albeverio, L. Dipersio and E. Mastrogiacomo).
Published and accepted Journal papers & Proceedings:
Explicit
invariant measures for infinite dimensional SDE driven by Lévy noise with
dissipative nonlinear drift I.
Commun. Math. Sci. 15(4),
pp.957-983 (2017). (with S. Albeverio, L.
Dipersio and E. Mastrogiacomo).
A class of Lévy
driven SDEs and their explicit invariant measures.
Potential analysis. 45 (2). pp. 229-259 (2016). DOI: 10.1007/s11118-016-9544-3. ( with S.Albeverio, L. Dipersio and E. Mastrogiacomo).
A Large diffusion Expansion for the Transition Function of
Lévy OrnsteinUhlenbeck Processes,
Appl.Math. Inf.Sci.
10,No.4, pp. 1-8 (2016).
On the representations of the canonical partition function and
the Helmotz free energy.
J. Comput. Theor. Nano.
13, pp. 8567-8570 (2016).
Asymptotic expansions
for SDE's with small multiplicative noise.
Stoch.
Proc. Appl.
125 (3) (2015) pp.1009-1031
(with S. Albeverio).
Feynman
Graph Representation to Stochastic Differential Equations Driven by Lévy noise .
Proceeding of the International Conference on Mathematical Sciences and
Statistics 2013, Kuala Lumpur., pp. 213-222, Springer, IX,
2014.
Small
noise asymptotic expansions for stochastic PDE's driven by dissipative
nonlinearity and
Lévy noise, Stoch. Proc.
App.
123 (2013)
pp. 2084-2109. (with S. Albeverio & E.
Mastrogiacomo)
A
Linked Cluster Theorem of the solution of the generalized Burger equation.,"
Appl. Mathe. Scien.(Ruse), vol. 6, no. 1, pp. 21-38,
(2012).
Feynman graph representation of
convolution semigroups and its applications to
Lévy statistics.
Bernoulli, V14(2). 322-351pp,
(2008). (with H.
Gottschalk and H. Thaler)
How to determine the
law of the solution to a SPDE driven by a
Lévy space-time noise.
J. Math. Phys. V. 48, Issue 3.(2007)(with H.
Gottschalk)
Convolution Calculus on
whit noise spaces and Feynman graph representation of generalized
renormalization flows. Mathematical Analysis of Random Phenomena.
Word Sci. 2007 ,101-111pp with (H.Gottschalk and H. Ouerdiane)
Large deviation Principle for Stochastic
differential equations
driven by a
Lévy
space-time noise, Preprint (2018).
A
graphical representation of the truncated moments of a mixed noise, Preprint (2018).
Asymptotic character of the
transition function of of Lévy Ornstein-Uhlenbeck processes. Submitted (2018).