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
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:
My Applets
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