Notiziario Scientifico
Notiziario dei Seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma
Settimana dal 28 marzo al 3 aprile 2016
Giovedì 31 marzo 2016
Ore 14:15, aula di Consiglio
Seminario P(n)
Tonia Ricciardi (Università di Napoli Federico II)
Sign-changing solutions for some asymmetric elliptic
problems in 2D turbulence
By perturbative techniques we construct sign-changing peak solutions
for some semilinear elliptic problems describing the equilibrium of
two-dimensional turbulent flows.
Such problems are characterized by the presence of a parameter γ
which describes the asymmetry of the nonlinearity. We study the asymptotic
behaviour of the peak solutions as γ tends to its limit value.
This is joint work with A. Pistoia and G. Pisante.
Venerdì 1 aprile 2016
Ore 11:00, aula 34, Dipartimento di Scienze Statistiche
Seminario
Yuliya Mishura (Kyiv University)
Between two self-similarities
Everybody knows that fractional Brownian motion with any Hurst
index is a self-similar process with stationary increments.
According to geometric terminology of J. P. Kahane, it belongs
to helix. Self-similarity and incremental stationarity are very
useful when we study the properties of different functionals based
on fBm however these properties are rather restrictive.
For example, Ornstein-Uhlenbeck process starting from zero time point
is neither self-similar nor stationary or with stationary increments.
Therefore the goal of the present talk is to consider wider class of
Gaussian processes. In our terminology, they live between two
self-similarities, or belong to the generalized quasi-helix.
We consider three problems concerning such processes:
-asymptotic behavior of maximal functionals;
-representation theorems involving integrals w.r.t. such processes;
-some statistical results.
The results are common with: Alexander Novikov (Sydney University),
Mikhail Zhitlukhin (Steklov Mathematical Institute),
Georgij Shevchenko (Kyiv University) and Kostjantin Ralchenko (Kyiv University).
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