17,843 research outputs found
Upper Bounds for the Critical Car Densities in Traffic Flow Problems
In most models of traffic flow, the car density is the only free
parameter in determining the average car velocity . The
critical car density , which is defined to be the car density separating
the jamming phase (with ) and the moving phase (with
), is an important physical quantity to investigate. By
means of simple statistical argument, we show that for the
Biham-Middleton-Levine model of traffic flow in two or higher spatial
dimensions. In particular, we show that in 2 dimension and
in () dimensions.Comment: REVTEX 3.0, 5 pages with 1 figure appended at the back, Minor
revision, to be published in the Sept issue of J.Phys.Soc.Japa
Predictable arguments of knowledge
We initiate a formal investigation on the power of predictability for argument of knowledge systems for NP. Specifically, we consider private-coin argument systems where the answer of the prover can be predicted, given the private randomness of the verifier; we call such protocols Predictable Arguments of Knowledge (PAoK).
Our study encompasses a full characterization of PAoK, showing that such arguments can be made extremely laconic, with the prover sending a single bit, and assumed to have only one round (i.e., two messages) of communication without loss of generality.
We additionally explore PAoK satisfying additional properties (including zero-knowledge and the possibility of re-using the same challenge across multiple executions with the prover), present several constructions of PAoK relying on different cryptographic tools, and discuss applications to cryptography
Tapping Into Your Inner Superhero: Positive Interventions for At-Risk Youth Organizations
Childhood poverty has been linked with gaps in physical, emotional, and cognitive outcomes. Previous research sheds light on potential interventions for helping at-risk youth. We combine these findings with proven positive psychology interventions to create a curriculum for an organization serving at-risk youth in Trenton, New Jersey. The workshops are geared towards teaching components that enable lasting well-being using existing positive psychology frameworks, such as Martin Seligman’s PERMA. We also adapt lessons using VIA Character Strengths and resiliency factors for an adolescent population, and leverage behavioral modeling, self-agency, and environmental mastery to create sustainable programming. If successful, these interventions may teach us how positive psychology can enable flourishing in at-risk youth populations
Non-Markovian finite-temperature two-time correlation functions of system operators of a pure-dephasing model
We evaluate the non-Markovian finite-temperature two-time correlation
functions (CF's) of system operators of a pure-dephasing spin-boson model in
two different ways, one by the direct exact operator technique and the other by
the recently derived evolution equations, valid to second order in the
system-environment interaction Hamiltonian. This pure-dephasing spin-boson
model that is exactly solvable has been extensively studied as a simple
decoherence model. However, its exact non-Markovian finite-temperature two-time
system operator CF's, to our knowledge, have not been presented in the
literature. This may be mainly due to the fact, illustrated in this article,
that in contrast to the Markovian case, the time evolution of the reduced
density matrix of the system (or the reduced quantum master equation) alone is
not sufficient to calculate the two-time system operator CF's of non-Markovian
open systems. The two-time CF's obtained using the recently derived evolution
equations in the weak system-environment coupling case for this non-Markovian
pure-dephasing model happen to be the same as those obtained from the exact
evaluation. However, these results significantly differ from the non-Markovian
two-time CF's obtained by wrongly directly applying the quantum regression
theorem (QRT), a useful procedure to calculate the two-time CF's for
weak-coupling Markovian open systems. This demonstrates clearly that the
recently derived evolution equations generalize correctly the QRT to
non-Markovian finite-temperature cases. It is believed that these evolution
equations will have applications in many different branches of physics.Comment: To appear in Phys. Rev.
Rotational covariance and light-front current matrix elements
Light-front current matrix elements for elastic scattering from hadrons with
spin~1 or greater must satisfy a nontrivial constraint associated with the
requirement of rotational covariance for the current operator. Using a model
meson as a prototype for hadronic quark models, this constraint and its
implications are studied at both low and high momentum transfers. In the
kinematic region appropriate for asymptotic QCD, helicity rules, together with
the rotational covariance condition, yield an additional relation between the
light-front current matrix elements.Comment: 16 pages, [no number
Can a Loan Valuation Adjustment (LVA) Approach Immunize Collateralized Debt from Defaults?
This study focuses on structuring tangible asset backed loans to inhibit their endemic option to default. We adapt the pragmatic approach of a margin loan in the configuring of collateralized debt to yield a quasi‐default‐free facility. We link our practical method to the current Basel III (2017) regulatory framework. Our new concept of the Loan Valuation Adjustment (LVA) and novel method to minimize the LVA converts the risky loan into a quasi risk‐free loan and achieves value maximization for the lending financial institution. As a result, entrepreneurial activities are promoted and economic growth invigorated. Information asymmetry, costly bailouts and resulting financial fragility are reduced while depositors are endowed with a safety net equivalent to deposit insurance but without the associated moral hazard between risk‐averse lenders and borrowers
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