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1.
C. Boldrighini R.A. Minlos A. Pellegrinotti 《Communications in Mathematical Physics》1997,189(2):533-557
We consider a general model of directed polymers on the lattice , weakly coupled to a random environment. We prove that the central limit theorem holds almost surely for the discrete time
random walk X
T
associated to the polymer. Moreover we show that the random corrections to the cumulants of X
T
are finite, starting from some dimension depending on the index of the cumulants, and that there are corresponding random
corrections of order , , in the asymptotic expansion of the expectations of smooth functions of X
T
. Full proofs are carried out for the first two cumulants. We finally prove a kind of local theorem
showing that the ratio of the probabilities of the events to the corresponding probabilities with no randomness, in the region of “moderate” deviations from the average drift bT, are, for almost all choices of the environment, uniformly close, as , to a functional of the environment “as seen from (T,y)$”.
Received: 14 October 1996 / Accepted: 28 March 1997 相似文献
2.
R. A. Minlos 《Theoretical and Mathematical Physics》1992,92(2):869-878
The lower single-particle bound state of a fermion interacting with a bosonic gas is studied. In the case of a small coupling constant, the employed method makes it possible to improve significantly the accuracy of the previously known results on the polaron branch of the spectrum. The results give a hint that in one-and two-dimensional systems there may exist an excited polaron state with small value of the momentum.Institute of Problems of Information Transmission, Russian Academy of Sciences Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 92, No. 2, pp. 255–268, August, 1992. 相似文献
3.
S. Albeverio Yu. G. Kondratiev R. A. Minlos A. L. Rebenko 《Journal of statistical physics》1998,92(5-6):1153-1172
We construct the distribution of the infinite-dimensional Markov process associated with a finite-temperature Gibbs state for a quantum mechanical anharmonic crystal. The corresponding state is constructed via a cluster expansion technique for an arbitrary fixed temperature and, correspondingly, small enough masses of particles. 相似文献
4.
This paper initiates a general study of the spectrum of two-particle bound states of transfer matrices for a fairly wide class of Gibbs fields at high temperature T. In the present first part of this study, a detailed statement of the problem is given and the existence of a so-called "isolated level" lying at a distance 1/T
2 from the boundary of the continuous spectrum is established for all values of the total quasimomentum of the system. In the concluding part of the paper, we prove that there are no other bound states provided that is far from certain singular values. In the second part, we will consider bound states for close to the singular values. The distance from these states (adjacent levels, in the authors' terminology) to the continuous spectrum is at most of the order of 1/T
4. 相似文献
5.
Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 79, No. 2, pp. 163–179, May, 1989. 相似文献
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V. A. Malyshev R. A. Minlos E. N. Petrova Yu. A. Terletskii 《Journal of Mathematical Sciences》1983,23(5):2501-2533
The paper is devoted to a survey and systematic exposition of the technique of obtaining cluster expansions for lattice Gibbs fields in the low-temperature region in the case of a finite or countable number of basic states. 相似文献
10.
It is shown that for the v-dimensional quantum Ising model in the high temperature region e?tH in the GNS representation admits a “multiplicative” N-particle cluster expansion and H admits an “additive” N-particle cluster expansion. 相似文献