Robert B. Israel
 Email: israel@math.ubc.ca
 Position: Associate Professor Emeritus
 Background: S.B., Chicago (1972)

Office: Math Annex 1216
 Phone: (604) 8225004
Mathematical Interests
Maple, problemsolving, optimization, probability, mathematical physics
Selected Publications
 "
Existence of
phase
transitions for longrange interactions,'' Commun. math. Phys.
43(1975), 5968.
 "
Hightemperature
analyticity in
classical lattice systems,'' Commun. math. Phys.
50(1976), 245257.
 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), 134.
 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), 297347.
 "Stronger players need not win more
knockout tournaments,'' J. Amer. Stat. Assoc.
76(1981), 950951.
 with R.R. Phelps: "
Some
convexity
questions arising in statistical mechanics,'' Math. Scand.
54(1984), 133156.
 "
Some examples
concerning the
global Markov property,'' Commun. math. Phys.
105(1986), 669673.
 "
Generic
triviality of phase diagrams in spaces
of longrange interactions,'' Commun. math. Phys.
106(1986), 459466.
 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), 245265.
 "Some Generic Results in Mathematical
Physics'', Markov Processes and Related Fields
10 (2004), 517521.
 "Time of the Winning Goal''
 with S. Morris and S. Wagon: "Old Idaho Usual Here'',
Crux Mathematicorum 34 (2008) 471477
 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 hardwareinduced 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
nearterm quantum photonic device", Quantum 5, 452 (2021)
The SIAM 100Digit Challenge:
My Applets
Some other links, in no particular order:
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