Robert B. Israel

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Robert Brian Israel is an American mathematical physicist and mathematician.

Israel graduated from the University of Chicago with a bachelor's degree in 1972 and received her PhD from Princeton University with Barry Simon in 1975 (Tangents to the Pressure as Invariant Equilibrium States in Statistical Mechanics of Lattice Systems). He was an Associate Professor at the University of British Columbia .

He deals with mathematical physics (lattice gases, statistical mechanics), optimization and stochastics as well as programming in Maple . In the 1970s he was involved in some fundamental work on the existence of phase transitions in (classical and quantum mechanical) lattice models. He researches optimization algorithms at D-Wave Systems in Burnaby (British Columbia).

Fonts

  • Convexity in the Theory of Lattice Gases, Princeton UP 1979
  • Existence of phase transitions for long-range interactions, Commun. Math. Phys., Vol. 43, 1975, pp. 59-68. Project Euclid
  • High-temperature analyticity in classical lattice systems, Commun. Math. Phys., Vol. 50, 1976, pp. 245-257.
  • with Jürg Fröhlich , Elliott Lieb , Barry Simon: Phase transitions and reflection positivity. I. General theory and long range lattice models, Commun. Math. Phys, Vol. 62, 1978, pp. 1-34, Part II, Lattice systems with short range and Coulomb interactions, J. Stat. Phys., Vol. 22, 1980, pp. 297-347. Part 1 at Project Euclid
  • Stronger players need not win more knockout tournaments, J. Amer. Stat. Assoc., Vol. 76, 1981, pp. 950-951.
  • with Chiara Nappi : Quark confinement in the two dimensional lattice Higgs-Villian model, Comm. Math. Phys., Vol. 64, 1979, pp. 177-189
  • with Chiara Nappi: Exponential clustering for long range integer spin systems, Comm. Math. Phys., Vol. 68, 1979, pp. 29-38
  • with RR Phelps: Some convexity questions arising in statistical mechanics, Math. Scand., Volume 54, 1984, pp. 133-156.
  • Some examples concerning the global Markov property, Commun. Math. Phys., Vol. 105, 1986, pp. 669-673.
  • Generic triviality of phase diagrams in spaces of long-range interactions, Commun. Math. Phys., Volume 106, 1986, pp. 459-466.
  • with P. Lisonek: Metric Invariants of Tetrahedra via Polynomial Elimination, ISSAC 2000
  • with JS Rosenthal, JZ Wei: Finding Generators for Markov Chains via Empirical Transition Matrices, with Applications to Credit Ratings, Mathematical Finance, Volume 11, 2001, pp. 245–265.
  • Some Generic Results in Mathematical Physics, in: Markov Processes and Related Fields, Volume 10, 2004, 517-521.
  • with S. Morris and S. Wagon: Old Idaho Usual Here, Crux Mathematicorum, Volume 34, 2008, pp. 471-477
  • with Zhengbing Bian, Fabian Chudak, Brad Lackey, William G. Macready, Aidan Roy: Discrete optimization using quantum annealing on sparse Ising models, Frontiers in Physics, Volume 2, 2014, p. 56
  • Calculus the Maple way, Addison-Wesley 1996

Web links

Individual evidence

  1. ↑ Robert B. Israel in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Israel, Robert B.
ALTERNATIVE NAMES Israel, Robert Brian (full name)
BRIEF DESCRIPTION American mathematical physicist and mathematician
DATE OF BIRTH 20th century