Osada, H. and Spohn, H.: Gibbs measures relative to Brownian motion, Ann. Probab. 27, 1183-1207, 1999 Home/Search Document Details and Download
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Gibbs measures for Brownian paths under the effect of an.. - Lörinczi, Minlos (2000) (Correct)
....As it turns out [2, 8] having an infinite time Gibbs measure at hand brings about interesting informations on the system as a number of relevant quantities can be obtained as Gibbs averages of suitable functions. In this context the existence of infinite time Gibbs measures was investigated in [11, 1, 2, 8] before, however the understanding of Gibbs measures on path space for general potentials is nowhere near complete and the available results were obtained under various restrictions. In particular, in [11] certain monotonicity, convexity and smoothness conditions are drawn on the potentials. 1] ....
....In this context the existence of infinite time Gibbs measures was investigated in [11, 1, 2, 8] before, however the understanding of Gibbs measures on path space for general potentials is nowhere near complete and the available results were obtained under various restrictions. In particular, in [11] certain monotonicity, convexity and smoothness conditions are drawn on the potentials. 1] looked at the case of P (OE) 1 processes in which only an external potential was present. In [2] the problem is considered for the potentials quoted above. Here we address the question whether infinite ....
Osada, H. and Spohn, H.: Gibbs measures relative to Brownian motion, Ann. Probab. 27, 1183-1207, 1999
Gibbs measures on Brownian paths - Lörinczi (2000) (Correct)
....might appear. One example where this actually happens is Nelson s scalar field model investigated by this approach in [5, 2] The literature on Gibbs measures on path space is relatively little. 8] contains early ideas on P (OE) 1 processes in connection with statistical mechanics. In [7] certain monotonicity, smoothness and convexity conditions are drawn on the external potential so that the use of correlation inequalities becomes possible. There also Gibbs measures with pair potentials are considered, whose existence becomes however a non trivial issue. The difficulties in ....
Osada, H. and Spohn, H.: Gibbs measures relative to Brownian motion, Ann. Probab. 27, 1183-1207, 1999
The infrared behaviour in Nelson's model of a quantum - Particle Coupled To Self-citation (Spohn) (Correct)
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Osada, H. and Spohn, H.: Gibbs measures relative to Brownian motion, Ann. Probab. 27, 1183-1207, 1999
The infrared behaviour in Nelson's model of a quantum.. - Lörinczi, Minlos, Spohn (2000) (3 citations) Self-citation (Spohn) (Correct)
....all ff 6= 0. If m = 0, cancellations appear and for sufficiently small ff the model is infrared convergent while for large ff it is divergent [24] The same phenomenon occurs in the dipole approximation of the massless Nelson model in d = 1 where K = L 2 (R; dq) K = H p , v(k) q Delta (k) [19]. If V (q) V ( Gammaq) infrared divergence depends on how strong the coupling is. Otherwise the model is infrared divergent for all couplings e 6= 0. In the three dimensional Nelson Hamiltonian we have v(k) e p 2jkj 0 (1.7) for small k. Thus we expect, and will in fact prove, that H N ....
....argument above by borrowing statement (3) of Theorem 3.2 below. This completes the proof of the theorem. 2 We conclude this section by stating some facts on N and related measures. Results on the existence and uniqueness of Gibbs measures relative to Brownian motion are available for some time [19], and a more general framework has been considered more recently in [13] In the following theorem we list some results taken from [13] to be used below adapted for the case of Nelson s model. For details we refer to this paper, in particular for results on the uniqueness of N which we do not ....
Osada, H. and Spohn, H.: Gibbs measures relative to Brownian motion, Ann. Probab. 27, 1183-1207, 1999
Gibbs measures for Brownian paths under the effect of an - External And Small (Correct)
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Osada, H. and Spohn, H.: Gibbs measures relative to Brownian motion, Ann. Probab. 27, 1183-1207, 1999
Gibbs measures on Brownian paths - Ozsef Lorinczi Zentrum (Correct)
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Osada, H. and Spohn, H.: Gibbs measures relative to Brownian motion, Ann. Probab. 27, 1183-1207, 1999
A Gibbsian description of P (OE) - Processes Volker Betz (Correct)
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Osada, H. and Spohn, H.: Gibbs measures relative to Brownian motion, preprint, Austin archive no. 99-57, 1999
PDE with Random Coefficients and Euclidean Field Theory - Conlon (Correct)
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H. Osada and H. Spohn, Gibbs measures relative to Brownian motion, Ann. Probab. 27 (
An existence result for infinite-dimensional Brownian diffusions .. - Pra, al. (Correct)
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H. Osada and H. Spohn, Gibbs measures relative to Brownian motion, Ann. Prob. 27-3 (1999), 1183-1207.
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