Polycyclic Aromatic Hydrocarbons (PAHs) have been implicated as
a large reservoir of reactive carbon in the interstellar medium
since the 1980s. PAHs have been widely attributed as the carriers
of the unidentified infrared bands where their...
The defocusing Non Linear Schrödinger equation iut=Δu−u|u|p−1 is
a classical model of mathematical physics. For energy subcritical
non linearities, Ginibre and Velo proved in the ’80s that all
solutions are global in time and asymptotically behave...
The query model is one of the most basic computational
models. In contrast to the Turing machine model, fundamental
questions regarding the power of randomness and quantum computing
are relatively well-understood. For example, it is
well-known...
Quantum computers employ quantum circuits to implement
algorithms. They are composed of quantum gates that act on near
neighbors according to some spatial geometry. They are particular
instances of quantum cellular automata (QCA), the set of...
In the last forty years, the study of singularity formation has
mostly concerned model problems and focusing non linearities. In
this second lecture, we will try to give a unified overview on the
known mechanisms of singularity formation, with in...
Given i.i.d. samples drawn from an unknown distribution over a
large domain [N], approximating several basic quantities, such as
the distribution's support size and its Shannon Entropy, requires
at least roughly (N / \log N) samples [Valiant and...
Historians of Science and Medicine emphasize how the circulation
of human biological material for global science involves complex
exchange systems amongst foreign and local scientists. Here,
notions of the gift and reciprocity underpin the idiom of...
