С.Б. Шлосман - Публикации

2010

Borodin Alexei, Shlosman S., Gibbs Ensembles of Nonintersecting Paths, http://arxiv.org/abs/0804.0564, Communications in Mathematical Physics, Volume 293, Number 1 / January, 2010 http://arxiv.org/abs/0804.0564

2009

Bellissard, Charles Radin Jean, Shlosman S., The characterization of ground states, http://arxiv.org/abs/0907.5393. http://arxiv.org/abs/0907.5393
Vladimirov A., Shlosman S., Rybko A., Spontaneous resonances and the coherent states of the queuing networks// Proc. of Dobrushin International Conference, Moscow. July 2009. ИППИ РАН, С. 149-156.
Vladimirov A., Shlosman S., Rybko A., Spontaneous resonances and the coherent states of the queueing networks// Journal of statistical physics. 2009. V. 134, N. 1, P. 67-104.

2008

Shlosman S., Rybko, A. N.; Shlosman, S.B.: Phase transitions in the queuing networks and the violation of the Poisson hypothesis. Mosc. Math. J. 8 (2008), no. 1, 159--180.
Shlosman S., Ioffe, D. and Shlosman, S.: Ising model fog drip: the first two droplets, In: "In and Out of Equilibrium 2", Progress in Probability 60, 365-382, eds. M.E. Vares, V. Sidoravicius, Birkhauser, 2008.
Shlosman S., Rybko, A. N.; Shlosman, S.B. and Vladimirov A.: Spontaneous Resonances and the Coherent States of the Queuing Networks, J. Stat Phys (2008) 134: 67--104.
Vladimirov А., N. Rybko A., Shlosman S., Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load, 2008 http://arxiv.org/abs/0811.3577, submitted to Queueing Systems. http://arxiv.org/abs/0811.3577

2007

Shlosman S., A.C.D. van Enter, S.B.Shlosman: First-order transitions for very nonlinear sigma models. John Lewis memorial volume: Markov Processes Relat. Fields 13, 239--249 (2007)
Shlosman S., Senya Shlosman and Yvon Vignaud: Dobrushin Interfaces via Reflection Positivity, CMP Volume 276, Number 3, pp. 827-861, 2007.

2006

Shlosman S., Rybko, A. N.; Shlosman, S.B. and Vladimirov A. Self-averaging property of queuing systems, http://fr.arxiv.org/abs/math.PR/0510046, Problems of Information Transmission, 42 , Issue 4 (December 2006) Pages: 344 - 355.
Shlosman S., Senya Shlosman. Large Deviations in Equilibrium Statistical Mechanics, in: Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), volume 3, page 261-263.
Shlosman S., Senya Shlosman. Metastable States, in: Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), volume 3, page 417-420.
Shlosman S., Senya Shlosman. Wulff Droplets, in: Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), volume 5, page 462-464.

2005

Shlosman S., A.C.D. van Enter, S.B.Shlosman: Provable first-order transitions for liquid crystal and lattice gauge models with continuous symmetries, http://fr.arxiv.org/pdf/cond-mat/0306362, Communications in Math. Physics, v. 255, n. 1, pp. 21 - 32, 2005.
Shlosman S., A.N. Rybko, S.B. Shlosman: Poisson Hypothesis for Information Networks. I. http://fr.arxiv.org/PS_cache/math/pdf/0406/0406110.pdf. Sinai"s Festschrift, Moscow Math. J., v.5, 679-704, 2005, Tsfasman"s Festschrift, Moscow Math. J., v.5, 927-959, 2005.
Shlosman S., A.N. Rybko, S.B. Shlosman: Poisson Hypothesis: combinatorial aspect. Problemy Peredachi Informatsii 2005, V41, N3, pp. 51-57. Problems of Information Transmission, Volume 41, Number 3 Pages: 230 - 236, 2005
Shlosman S., Thierry Bodineau, Roberto H. Schonmann, Senya Shlosman. 3D crystal: how flat its flat facets are? http://fr.arxiv.org/pdf/math-ph/0401010, Communications in Math. Physics. v. 255, n. 3, pp. 747 - 766, 2005.

2004

Шлосман С.Б., S.B. Shlosman, V.A. Zagrebnov: Magnetostriction Transition, http://arXiv.org/abs/math-ph/0305026, Journal of Statistical Physics, 2004, vol. 114, no. 3/4, pp. 563-574.

2003

Шлосман С.Б., Blanchard Ph., Gandolfo D., Ruiz J., Shlosman S. On the Euler-Poincare Characteristic of the Random Cluster Model, Markov Processes and Related Fields, v. 9, # 4, pp. 523-545, 2003

2002

Шлосман С.Б., S. Shlosman: Applications of the Wulff construction to the number theory, arXiv.org e-Print archive, math-ph/0109027, "Representation Theory, Dynamical Systems, Combinatorial and Algorithmic Methods. Part 7" (A.M.Vershik ed.). Zapiski Nauchnyh Seminarov POMI, vol. 292, 2002, Pages 153-160, http://www.pdmi.ras.ru/znsl/2002/v292.html.
Шлосман С.Б., D. Ioffe, S. Shlosman, and Y. Velenik: 2D models of statistical physics with continuous symmetry: the case of singular interactions, Comm. Math. Phys., 226, 433-454, 2002.
Шлосман С.Б., A.C.D. van Enter, S.B.Shlosman: First-order transitions for n-vector models in two and more dimensions; rigorous proof, http://www.ma.utexas.edu/mp_arc/e/02-236.latex.mime, Phys. Rev. Lett. 89, # 28, 285702, 2002.

2001

Шлосман С.Б., S. Shlosman and M. Tsfasman: Random Lattices and Random Sphere Packings: Typical Properties, arXiv.org e-Print archive, math-ph/0011040, Moscow Math. Journal, 1, 73-89, 2001.
Шлосман С.Б., S. Shlosman: The Wulff construction in statistical mechanics and in combinatorics, arXiv.org e-Print archive, math-ph/0010039, Успехи математических наук, 2001, 56 (4), 709-738.
Шлосман С.Б., S. Shlosman: The life of amoebas (of the Ising model), Markov Proc. Relat. Fields, 7, 113-115, 2001.
Шлосман С.Б., P. Bleher, J. Ruiz , R.H. Schonmann, S. Shlosman and V. Zagrebnov: Rigidity of the critical phases on a Cayley tree, http://rene.ma.utexas.edu/mp_arc/, # 00-418, Moscow Math. Journal, 1, no. 3, 345-364, 2001.

2000

Шлосман С.Б., Ch. Maes, F. Redig, S. Shlosman and A. van Moffaert: Percolation, Path Large Deviations and Weakly Gibbs States, Comm Math Phys., 209, 517-545, 2000.
Шлосман С.Б., L. Chayes, S. Shlosman and V. Zagrebnov: Discontinuity of the Magnetization in Diluted O(n)--Models, J. Statist. Phys. 98, 537--549, 2000.
Шлосман С.Б., S. Shlosman: Geometric variational problems of statistical mechanics and of combinatorics, Probabilistic techniques in equilibrium and nonequilibrium statistical physics. J. Math. Phys. 41, 1364--1370, 2000.
Шлосман С.Б., S. Shlosman: Path Large Deviation and Other Typical Properties of the Low-Temperature Models, with Applications to the Weakly Gibbs States, Markov Processes and Related Fields, 6, 121- 134, 2000.
Шлосман С.Б., S. Shlosman: Metastable states as continuations of Gibbs states. In: Proceedings of XIIIth ICMP, London, 2000, International Press of Boston, 143-150.