74,906 research outputs found
Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
In many works, the linearized non-cutoff Boltzmann operator is considered to
behave essentially as a fractional Laplacian. In the present work, we prove
that the linearized non-cutoff Boltzmann operator with Maxwellian molecules is
exactly equal to a fractional power of the linearized Landau operator which is
the sum of the harmonic oscillator and the spherical Laplacian. This result
allows to display explicit sharp coercive estimates satisfied by the linearized
non-cutoff Boltzmann operator for both Maxwellian and non-Maxwellian molecules.Comment: arXiv admin note: text overlap with arXiv:1111.042
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The impact of financial histories on individuals and societies: A replication of and extension of Berg el al. (1995)
We replicate and extend the social history treatment of the Berg, Dickhaut, and McCabe (1995) investment game, to further document how the reporting of financial history influences how laboratory societies organize themselves over time. We replicate Berg et al. (1995) by conducting a No History and a Financial History session to determine whether a report summarizing the financial transactions of a previous experimental session will significantly reduce entropy in the amounts sent by Investors and returned by Stewards in the investment game, as Berg et al. (1995) found. We extend Berg et al. (1995) in two ways. First, we conduct a total of five sessions (one No History and four Financial History sessions). Second, we introduce Shannon's (1948) measure of entropy from information theory to assess whether the introduction of financial transaction history reduces the amount of dispersion in the amounts invested and returned across generations of players. Results across sessions indicate that entropy declined in both the amounts sent by Investors and the percentage returned by Stewards, but these patterns are weaker and mixed compared to those in the Berg et al. (1995) study. Additional research is needed to test how initial conditions, path dependencies, actors' strategic reasoning about others' behavior, multiple sessions, and communication may mediate the impact of financial history. The study's multiple successive Financial History sessions and entropy measure are new to the investment game literature
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'BioNessie(G) - a grid enabled biochemical networks simulation environment
The simulation of biochemical networks provides insight and
understanding about the underlying biochemical processes and pathways
used by cells and organisms. BioNessie is a biochemical network simulator
which has been developed at the University of Glasgow. This paper
describes the simulator and focuses in particular on how it has been
extended to benefit from a wide variety of high performance compute resources
across the UK through Grid technologies to support larger scale
simulations
A q-Analog of Dual Sequences with Applications
In the present paper combinatorial identities involving q-dual sequences or
polynomials with coefficients q-dual sequences are derived. Further,
combinatorial identities for q-binomial coefficients(Gaussian coefficients),
q-Stirling numbers and q-Bernoulli numbers and polynomials are deduced.Comment: 14 page
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