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91 papers · 1 filter
Birational self-maps and piecewise algebraic geometry
Stéphane Lamy, Julien Sebag
Let X be a smooth projective complex variety, of dimension 3, whose Hodge numbers h^{3,0}(X), h^{1,0}(X) both vanish. Let f: X--> X be a birational map that induces an isomorphism…
On hyperbolicity and tautness modulo an analytic subset of Hartogs domains
Do Duc Thai, Pascal J. Thomas, Nguyen Van Trao +1
Let be a complex space and a positive homogeneous plurisubharmonic function on $X\times\C^m$. Consider the Hartogs-type domain $Ω_{H}(X):=\{(z,w)\in X\times \C^m:H(z,w)…
On the Continuity of Multivariate Lagrange Interpolation at Chung-Yao Lattices
Jean-Paul Calvi, Phung Van Manh
We give a natural geometric condition that ensures that sequences of Chung-Yao interpolation polynomials (of fixed degree) of sufficiently differentiable functions converge to a Ta…
Hölder continuous solutions to Monge-Ampère equations
Jean-Pierre Demailly, Slawomir Dinew, Vincent Guedj +3
Let be a compact Kähler manifold. We obtain uniform Hölder regularity for solutions to the complex Monge-Ampère equation on with right hand side, . The same…
Application of a nudging technique to thermoacoustic tomography
Xavier Bonnefond, Sébastien Marinesque
ThermoAcoustic Tomography (TAT) is a promising, non invasive, medical imaging technique whose inverse problem can be formulated as an initial condition reconstruction. In this pape…
Sharp large deviations for the non-stationary Ornstein-Uhlenbeck process
Bernard Bercu, Laure Coutin, Nicolas Savy
For the Ornstein-Uhlenbeck process, the asymptotic behavior of the maximum likelihood estimator of the drift parameter is totally different in the stable, unstable, and explosive c…