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math.PR2019
Propagation of microlocal singularities for stochastic partial differential equations
Adnan Aboulalaa
Microlocal analysis techniques are extended and applied to stochastic partial differential equations (SPDEs). In particular, the Hörmander propagation of singularities theorem is s…
math.PR2019
Random fields, large deviations and triviality in quantum field theory. Part I
Adnan Aboulalaa
The issue of the existence and possible triviality of the Euclidean quantum scalar field in dimension 4 is investigated by using some large deviations techniques. As usual, the fie…