Recent years have seen remarkable progress in the field of
Machine Learning (ML).
However recent breakthroughs exhibit phenomena that remain
unexplained and at times contradict conventional wisdom. A
primary reason for this discrepancy is that...
Kinematically, massless particles in Lorentz-invariant theories
are classified by a dimensionful "spin scale"ρ
(2nd Casimir invariant) that characterizes helicity states'
mixing under little group transformations. However, dynamics
for particles...
Motivated by a discovery by Radchenko and Viazovska and by a
work by Ramos and Sousa, we find conditions sufficient for a pair
of discrete subsets of the real axis to be a uniqueness or a
non-uniqueness pair for the Fourier transform. These...
The C0 flux conjecture predicts that a symplectic diffeomorphism
that can be C0
approximated by a Hamiltonian diffeomorphism is itself
Hamiltonian. We describe how the flux conjecture relates to new
instances of the strong Arnol’d conjecture and...
We will discuss a generalization of the celebrated Minimax
Theorem (von Neumann, 1928) for binary zero-sum games. A simple
game which fails to satisfy Minimax is Ephraim Kishon's “Jewish
Poker” (see [1,2] below). In this game, each player picks a...
Interpreting observations of extreme astrophysical phenomena
requires a detailed understanding of particle acceleration in
astrophysical environments. These accelerated particles, known as
cosmic rays, approximately follow a power-law distribution...
We discuss shockwave geometries and the connections to aspects
of flat space holography. We first show how the ’t Hooft
commutation relations of shockwave operators are equivalent to
the commutation relation between soft and Goldstone modes
familiar...
With every bounded prism Bhatt and Scholze associated a
cohomology theory of formal p-adic schemes. The prismatic
cohomology comes equipped with the Nygaard filtration and the
Frobenius endomorphism. The Bhatt-Scholze construction has been
advanced...
Exoplanet systems are expected to evolve with time as they age.
In most cases though, the dynamical evolution of exoplanet systems
over billion-year timescales are hard to observe. I'll describe how
Galactic kinematics can provide accurate and...
