Panos Lambrianides

Panos Lambrianides

San Francisco, California, United States
797 followers 500+ connections

Articles by Panos

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Experience

Education

  • University of Cambridge Graphic
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    Advanced undergraduate classes in Molecular Biology, Genenetics, Neurobiology, Biochemistry, Organic Chemistry, Cancer and Developmental Biology. Some courses were taken at UC Berkeley proper through Concurrent Enrollment and some through Extension.

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    PhD in control theory and reinforcement learning, with emphasis on optimization and machine learning methods.

Licenses & Certifications

Publications

  • Numerical-scaling experiments in Anderson localization

    Physical Review B.

    The Kubo-Greenwood formula is used to numerically evaluate the conductance for the Anderson model of three-dimensional noninteracting electrons in a uniformly distributed random potential. We construct the trajectory function β(g)=d lng/d lnL, verify that it depends on the single parameter g, and use it to calculate the critical exponent as ν=1.5±0.2. A new trajectory function is defined and evaluated that describes the scaling behavior of the renormalized ac conductivity. We numerically verify…

    The Kubo-Greenwood formula is used to numerically evaluate the conductance for the Anderson model of three-dimensional noninteracting electrons in a uniformly distributed random potential. We construct the trajectory function β(g)=d lng/d lnL, verify that it depends on the single parameter g, and use it to calculate the critical exponent as ν=1.5±0.2. A new trajectory function is defined and evaluated that describes the scaling behavior of the renormalized ac conductivity. We numerically verify the ω1/3 frequency dependence of the ac conductivity.

    Other authors
    • H.B. Shore
    See publication
  • Statistics of spectra of disordered systems near the metal-insulator transition

    Physical Review B.

    We study the nearest-level-spacing distribution function P(s) in a disordered system near the metal-insulator transition. We claim that in the limit of an infinite system there are only three possible functions P(s): Wigner surmise PW(s) in a metal, Poisson law PP(s) in an insulator, and a third one PT(s), exactly at the transition. The function PT is an interesting hybrid of PW(s) and PP(s), it has the small-s behavior of the former and the large-s behavior of the latter one. A scaling theory…

    We study the nearest-level-spacing distribution function P(s) in a disordered system near the metal-insulator transition. We claim that in the limit of an infinite system there are only three possible functions P(s): Wigner surmise PW(s) in a metal, Poisson law PP(s) in an insulator, and a third one PT(s), exactly at the transition. The function PT is an interesting hybrid of PW(s) and PP(s), it has the small-s behavior of the former and the large-s behavior of the latter one. A scaling theory of critical behavior of P(s) in finite samples is proposed and verified numerically.

    Other authors
    • B. I. Shklovskii
    • B. Shapiro
    • B. R. Sears
    • H.B. Shore
    See publication

Courses

  • Bayesian Non Parametrics

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  • Machine Learning

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  • Non Linear Dynamics

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  • Optimal Control

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  • Optimization Theory

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  • Probability Theory

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  • Stochastic Differential Equations

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Languages

  • Greek

    Native or bilingual proficiency

  • English

    Native or bilingual proficiency

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