Robert B. Israel

E-mail: israel@math.ubc.ca
Position: Associate Professor Emeritus
Background: S.B., Chicago (1972)
Office: Math Annex 1216
Phone: (604) 822-5004

Mathematical Interests

Maple, problem-solving, optimization, probability, mathematical physics

Publications List

Selected Publications

" Existence of phase transitions for long-range interactions,'' Commun. math. Phys. 43(1975), 59-68.
" High-temperature analyticity in classical lattice systems,'' Commun. math. Phys. 50(1976), 245-257.
with J. Fröhlich, E. Lieb, B. Simon: " Phase transitions and reflection positivity. I. General theory and long range lattice models,'' Commun. math. Phys 62(1978), 1-34.
with J. Fröhlich, E. Lieb, B. Simon: "Phase transitions and reflection positivity. II. Lattice systems with short range and Coulomb interactions,'' J. Stat. Phys. 22(1980), 297-347.
"Stronger players need not win more knockout tournaments,'' J. Amer. Stat. Assoc. 76(1981), 950-951.
with R.R. Phelps: " Some convexity questions arising in statistical mechanics,'' Math. Scand. 54(1984), 133-156.
" Some examples concerning the global Markov property,'' Commun. math. Phys. 105(1986), 669-673.
" Generic triviality of phase diagrams in spaces of long-range interactions,'' Commun. math. Phys. 106(1986), 459-466.
with P. Lisonek: "Metric Invariants of Tetrahedra via Polynomial Elimination'', contributed to ISSAC 2000
with J.S. Rosenthal and J.Z. Wei: "Finding Generators for Markov Chains via Empirical Transition Matrices, with Applications to Credit Ratings'', Mathematical Finance 11 (2001), 245-265.
"Some Generic Results in Mathematical Physics'', Markov Processes and Related Fields 10 (2004), 517-521.
"Time of the Winning Goal''
with S. Morris and S. Wagon: "Old Idaho Usual Here'', Crux Mathematicorum 34 (2008) 471-477
with Zhengbing Bian, Fabian Chudak, Brad Lackey, William G. Macready and Aidan Roy: "Discrete optimization using quantum annealing on sparse Ising models", Frontiers in Physics 2:56 (2014). doi: 10.3389/fphy.2014.00056
with Maria Schuld, Kamil Bradler, Daiqin Su and Brajesh Gupt: "A quantum hardware-induced graph kernel based on Gaussian Boson Sampling'', Phys. Rev. A 101, 032314 (2020)
with Kamil Bradler and Shmuel Friedland: "Nonnegativity for hafnians of certain matrices'', Linear and Multilinear Algebra (2021)
with Daiqin Su, Kunal Sharma, Haoyu Qi, Ish Dhand and Kamil Bradler, "Error mitigation on a near-term quantum photonic device", Quantum 5, 452 (2021)

The SIAM 100-Digit Challenge:

Team: Gaston Gonnet, Informatik, ETH Zurich, and myself
Maple worksheet
html version
Our prize

For help with Maple: consult the Maple Advisor Database

My Applets

Some other links, in no particular order:

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