We consider the 1D nonlinear Schrödinger equation (NLS) with focusing point nonlinearity, (0.1) i∂tψ + ∂ 2 xψ + δ|ψ|p−1ψ = 0, where δ = δ(x) is the delta function supported at the origin. In this work, we show that (0.1) shares many properties in common with those previously established for the focusing autonomous translationally-invariant NLS (0.2) i∂tψ + ∆ψ + |ψ|p−1ψ = 0 . The critical Sobole...

When the subdifferential sum rule formula holds for the indicator functions ιC and ιD of two closed convex sets C and D of a locally convex space X, the pair (C,D) is said to have the strong conical hull intersection property (the strong CHIP). The specification of a well-known theorem due to Moreau to the case of the support functionals σC and σD subsumes the fact that the pair (C,D) has the s...

We investigate the depletion-induced phase behavior of athermal colloid-star polymer mixtures on a fine lattice using grand canonical Monte Carlo simulations in the "protein limit," that is, where polymer dimensions exceed those of the colloid. We consider the influence of the star's functionality, f, the macroscopic size ratio, qr = 2Rg, s∕σc, where Rg, s is the radius of gyration of the star ...

We consider differentiable dynamical systems generated by a diffeomorphism or a vector field on a manifold. We restrict to the finite-dimensional case, although some of the ideas can also be developed in the general case [21]. We also restrict to the behavior near a stationary point or a periodic orbit of a flow. Let the origin 0 of R be a stationary point of a C vector field X, i.e. X(0) = 0. ...

The galaxy central mass Mc and central velocity dispersion σc have been found to correlate with large scale galaxy parameters for samples of galaxies with a limited range of characteristics. A scalar potential model (SPM) that derived from considerations of galaxy clusters, of redshift, of discrete redshift, of HI rotation curves (RCs) of spiral galaxies and of RC asymmetry is applied to centra...

Assume we are given a hyperbolic, reducible morphism W . Every student is aware that exp (E2) ∼= ` ( −1, σC,B · C ) P̄−1 (−2) ∧ · · · × c ( S−5,−O′′ )

Precision
measurements
of
the
masses
and
widths
of
the
bottom
baryon
resonances
 Σb
and
Σb*
and
charm
baryons
Λc(2595),
Λc(2625),
Σc(2455),
and
Σc(2520)
are
reported.

A
new
 measurement
of
Λb
production
is
described.

The
studies
include
the
first
measurement
of
the
 widths
and
isospin
mass
splittings
of
the
members
of
the
Σb
family.
The
charm
baryons
are
 examined
through
their
strong
decays
...