We show that the conjectural criterion of p-incompressibility for products of projective homogeneous varieties in terms of the factors, previously known in a few special cases only, holds in general. We identify the properties of projective homogeneous varieties actually needed for the proof to go through. For instance, generically split (nonhomogeneous) varieties also satisfy these properties....

We prove surjectivity of the comparison map from continuous bounded cohomology to continuous cohomology for Hermitian Lie groups with finite center. For general semisimple Lie groups with finite center, the same argument shows that the image of the comparison map contains all the even degree primitive elements. Our proof uses a Hirzebruch type proportionality principle in combination with Gromo...

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according antagonistic nature objective and properties system: system tends to be less observable as it approaches target. illustrate two main ideas: well chosen perturbations a state law can yield new observability closed-loop system, embedding systems into bilinear admitting ...

Corrected image using the field map (a) (d) The field map created using phase-based correction (c) Novel automatic off-resonance correction without field maps in spiral imaging using L1 minimization Hisamoto Moriguchi, Kohki Yoshikawa, Morio Shimada, Shin-ichi Urayama, Yutaka Imai, Manabu Honda, and Takashi Hanakawa Radiology, Tokai University, Isehara, Kanagawa, Japan, Radiological Sciences, K...

We show that the conjectural criterion of p -incompressibility for products of projective homogeneous varieties in terms of the factors, previously known in a few special cases only, holds in general. Actually, the proof goes through for a wider class of varieties which includes the norm varieties associated to symbols in Galois cohomology of arbitrary degree. Let F be a field. A smooth complet...