Publications

23. With Bruno Nachtergaele, Benjamin Schlein, Bob Sims and Valentin Zagrebnov.
On the existence of the dynamics for Anharmonic Quantum Oscillator systems.
(Preprint, submitted.)
http://arxiv.org/abs/0909.2249

22. Thermodynamic Limit for the Mallows Model on $S_n$
J. Math. Phys., 50 (2009). (14 pages)
http://arxiv.org/abs/0904.0696

21. With Pierluigi Contucci.
Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound.
J. Statist. Phys., 135 (2009). (8 pages)
http://arxiv.org/abs/0809.4229

20. With Marco Merkli.
A Resonance Theory for Open Quantum Systems with Time-Dependent Dynamics.
J. Statist. Phys., 134 (2009). (29 pages)
http://arxiv.org/abs/0810.3540

19. With M. Conomos.
Asymptotics of the Spectral Gap for the Interchange Process on Large Hypercubes.
(Preprint)
http://front.math.ucdavis.edu/0802.1368

18. With J. Mulherkar, B. Nachtergaele and R. Sims.
Isolated Eigenvalues of the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions.
J. Stat. Mech. P01016 (2008). (18 pages)
http://front.math.ucdavis.edu/0709.1733

17. With B. Vermesi.
Some Observations for Mean-Field Spin Glass Models.
Lett. Math. Phys. 83 (2008) 281--303.
http://front.math.ucdavis.edu/0707.0031

16. With M. Aizenman and R. Sims.
Mean-Field Spin Glass models from the Cavity--ROSt Perspective.
in J. C. Mourao, J. P. Nunes, R. Picken and J.-C. Zambrini (Eds), Prospects in Mathematical Physics,
Contempary Mathematics vol. 437, American Mathematical Society (2007) pp 1--30.
http://front.math.ucdavis.edu/math-ph/0607060
Review in MathSciNet

15. With C. Giardina.
Variational Bounds for the Generalized Random Energy Model.
J. Statist. Phys. 127 (2007) 1--20.
http://front.math.ucdavis.edu/math-ph/0601068
Review in MathSciNet

14. With M. Biskup and L. Chayes.
Quantum spin systems at positive temperature.
Commun. Math. Phys. 69 (2007) 611-657.
http://front.math.ucdavis.edu/math-ph/0509017
Review in MathSciNet

13. With B. Nachtergaele and W. Spitzer.
Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions.
Ann. Henri Poincaré 8 (2007) 611-- 657.
http://front.math.ucdavis.edu/math-ph/0508049
Review in MathSciNet

12. With B. Nachtergaele.
Ordering of Energy Levels in Heisenberg Models and Applications
Proceedings of QMATH9: Mathematics Physics of Quantum Mechanics
http://front.math.ucdavis.edu/math-ph/0503056
Review in MathSciNet

11. With E. Kritchevski.
The Extended Variational Principle for Mean-Field, Classical Spin Systems.
Rev. Math. Phys. 17 No. 10 (2005) 1209-1239
http://front.math.ucdavis.edu/math-ph/0505001
Review in MathSciNet

10. With B. Nachtergaele.
A Ferromagnetic Lieb-Mattis Theorem.
[This paper generalizes reference 9 to higher spins.]
Phys. Rev. Lett. 94 (2005) 057206
http://front.math.ucdavis.edu/math-ph/0408020

9. A Thinning Analogue of de Finetti's Theorem.
(Currently being rewritten for resubmission)
http://front.math.ucdavis.edu/math.PR/0406364

8. With W. Spitzer and B. Nachtergaele.
Ferromagnetic Ordering of Energy Levels.
J. Statist. Phys. 116 (1-4): 719-738, August 2004
http://front.math.ucdavis.edu/math-ph/0308006
Review in MathSciNet

7. With M. Aizenman and R. Sims.
Extended variational principle for the Sherrington-Kirkpatrick spin-glass model.
Phys. Rev. B; 68 (2003) 214403
http://front.math.ucdavis.edu/cond-mat/0306386

6. With W. Spitzer.
Improved Bounds on the Spectral Gap Above Frustration Free Ground States of Quantum Spin Chains.
Lett. Math. Phys. 63 (2003) pp 165-177.
http://front.math.ucdavis.edu/math-ph/0212029
Review in MathSciNet

5. With B. Nachtergaele and W. Spitzer.
On the Dynamics of Interfaces in the Ferromagnetic XXZ Chain Under Weak Perturbations.
in Y. Karpeshina, G. Stolz, R, Weikard, and Y. Zeng (Eds), Advances in Differential Equations and Mathematical Physics,
Contempary Mathematics vol. 327 , American Mathematical Society (2003) pp 251--270.
http://front.math.ucdavis.edu/math-ph/0210017
Review in MathSciNet

4. With T. Koma and B. Nachtergaele.
The Spectral Gap for the Ferromagnetic Spin-J XXZ Chain.
Adv. Theor. Math. Phys. 5 (2001) pp 1047--1090.
http://front.math.ucdavis.edu/math-ph/0110017
Review in MathSciNet

3. With B. Nachtergaele.
Droplet States in the XXZ Heisenberg Chain.
Commun. Math. Phys. 218 (2001), 569--607.
http://front.math.ucdavis.edu/math-ph/0009002
Review in MathSciNet

2. With O. Bolina, P. Contucci, and B. Nachtergaele.
A Continuum Approximation for the Excitations of the (1,...,1) Interface in the Quantum Heisenberg Model.
Electron. J. Diff. Eqns. Conf 4 (2000), 1--10.
http://front.math.ucdavis.edu/math-ph/9909018
Review in MathSciNet

1. With O. Bolina, P. Contucci, and B. Nachtergaele.
Finite Volume Excitations of the 111 Interface in the Quantum XXZ Model.
Commun. Math. Phys. 212 (2000) pp 63--91.
http://front.math.ucdavis.edu/math-ph/9908018
Review in MathSciNet

0.  Some Properties of the Low Lying Spectrum of the Quantum XXZ Model, Ph.D. Thesis,
 http://front.math.ucdavis.edu/math-ph/0106024