VOJKAN JAKSIC
Professor of Mathematics
B.S.,
University of Belgrade, 1987
Ph.D.,
Caltech, 1991
Address
Department of Mathematics and Statistics
McGill University
805 Sherbrooke Street West
Montreal, QC, H3A 2K6
Canada
Telephone: (514)-398-3827 (office) (514)-273-6911 (home)
Fax: (514)-398-3899 E-mail: jaksic@math.mcgill.ca
Office: 1222 Burnside Hall
Research Interest
Mathematical physics, especially quantum statistical mechanics
and random Schrodinger operators
Recent Publications
- Jaksic V., Nersesyan V., Pillet C-A., Shirikyan A.:
Large deviations from a stationary measure for a class of dissipative PDE's
with random kicks,
submitted,
pdf-file
- Jaksic V., B. Landon, Pillet C.-A.:
Entropic fluctuations in XY chains and reflectionless Jacobi matrices, to appear in
Annales Henri Poincare,
pdf-file
- Jaksic V., Pillet C.-A.:
Entropic functionals in quantum statistical mechanics, to appear in
Proceedings of the XVIIth International Congress of Mathematical Physics, Aalborg,
Denmark, 2012,
pdf-file
- Grech P., Jaksic V., Westrich M.:
The spectral structure of the electronic black box hamiltonian,
pdf-file
- Bruneau L., Jaksic V., Pillet C.-A.:
Landauer-Butttiker formula and Schrodinger conjecture, to appear in
Comm. Math. Phys.,
pdf-file
- Jaksic V., Ogata Y., Pillet C.-A., Seiringer, R.:
Quantum hypothesis testing and non-equilibrium statistical mechanics,
Rev. Math. Phys, 24 (6) (2012),1-67
pdf-file
- Jaksic V., Ogata Y., Pautrat Y., Pillet C.-A.:
Entropic fluctuations in quantum statistical mechanics. An Introduction,
Quantum Theory from Small to Large Scales: Lecture Notes of the Les Houches
Summer School: Volume 95, August 2010 , Oxford University Press, USA (2012)
pdf-file
- Jaksic V., Pillet C.-A, Rey-Bellet, L..:
Entropic fluctuations in statistical mechanics I. Classical dynamical systems,
Nonlinearity , 24 (2011), 699-763
pdf-file
- Jaksic V., Pautrat Y., Pillet C.-A.:
A quantum central limit theorem for sums of IID
random variables,
J. Math. Phys., 51 ,
(2010), 01528 pdf-file
- Jaksic V., Pillet C.-A.: Five contributions to
Modern Encyclopedia of Mathematical Physics , in press:
Entropy Production
pdf-file,
Linear response theory pdf-file,
NESS in quantum statitical mechanics pdf-file,
Nonequilibrium steady states
pdf-file,
Quantum Koopmanism pdf-file
- Jaksic V., Pautrat Y., Pillet C.-A.:
A non-commutative Levy-Cramer continuity theorem,
Markov Process. Related Fields, 16
(2010), 59-78 pdf-file
- Jaksic V., Poulin P.: Scattering from sparse potentials:
a deterministic approach,
Analysis and Mathematical
Physics. Trends in Mathematics.
(2009), 205-210 pdf-file
- Jaksic V., Pautrat Y., Pillet C.-A.:
Central limit theorem for locally interacting Fermi gas,
Comm. Math. Phys., 285 (2009), 175-217 pdf-file
- Jaksic V., Pillet C.-A.:
On the strict positivity of entropy production,
Contemporary Mathematics, 447 (2007), 153-163
pdf-file
- Aschbacher W., Jaksic V., Pautrat Y., Pillet C.-A.:
Transport properties of quasi-free Fermions,
J. Math. Phys., 48 (2007), 032101 pdf-file
- Jaksic V., Ogata Y., Pillet C.-A.:
The Green-Kubo formula for locally interacting open fermionic systems,
Ann. Henri Poincare, 8 (2007), 1013-1036 pdf-file
- Jaksic V., Ogata Y., Pillet C.-A.:
The Green-Kubo formula for the spin-fermion model,
Comm. Math. Phys.,
268 (2006), 369-401
ps-file, pdf-file
- Jaksic V., Ogata Y., Pillet C.-A.:
Linear response theory for thermally driven quantum open systems,
J. Stat.Phys.,
123 (2006) 547, pdf-file
- Jaksic V., Ogata Y., Pillet C.-A.:
The Green-Kubo formula and the Onsager reciprocity relations in quantum
statistical mechanics,
Comm. Math. Phys., 265 (2006), 721,
ps-file, pdf-file
- Jaksic V., Last Y.: Simplicity of singular spectrum in Anderson
type Hamiltonians,
Duke Math. J., 133 (2006), 185-204
ps-file,
pdf-file
- Jaksic V., Kritchevski E., Pillet C.-A.:
Mathematical theory of the Wigner-Weisskopf atom.
Large Coulomb Systems.
Lecture Notes on Mathematical Aspects of QED.
Lecture Notes in Physics, 695 (2006), 147-218, Springer,
pdf-file
- Aschbacher W., Jaksic V., Pautrat Y., Pillet C.-A.:
Introduction to non-equilibrium quantum statistical mechanics.
Open Quantum System III. Recent Developments.
Lecture Notes in Mathematics, 1882 (2006), 1-66, Springer,
ps-file, pdf-file
- Jaksic V.: Topics in spectral theory.
Open Quantum
Systems I. The Hamiltonian Approach.
Lecture
Notes in Mathematics, 1880 (2006), 235-312, Springer,
ps-file,
pdf-file
Course(s) taught
