×

Unendlich-dimensionale Wienerprozesse mit Wechselwirkung. I. Existenz. (German) Zbl 0349.60103


MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60J65 Brownian motion
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Kolmogorov, A. N., Zur Umkehrbarkeit der statistischen Naturgesetze, Math. Ann., 113, 766-772 (1937) · Zbl 0015.26004
[2] Lanford, O. E. III, Time evolution of large classical systems, Dynamical Systems, Theory and Applications, 1-111 (1975), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0329.70011
[3] Lanford, O. E. III, Classical mechanics of one-dimensional systems of infinitely many particles I, II, Comm. Math. Phys., 9, 169-181 (1969) · Zbl 0175.21401
[4] Lang, R.: Unendlich-dimensionale Wienerprozesse mit Wechselwirkung II: Die reversiblen Ma\e sind kanonische Gibbs-Ma\e. (In Vorbereitung) · Zbl 0342.60067
[5] Logan, K.G.: Time reversible evolutions in Statistical Mechanics. Thesis. Cornell University (1974)
[6] Marchioro, C.; Pellegrinotti, A.; Presutti, E., Existence of time evolution for ϒ-dimensional statistical mechanics, Comm. Math. Phys., 40, 175-185 (1975)
[7] McKean, H. P., Stochastic Integrals (1969), New York-London: Academic Press, New York-London · Zbl 0191.46603
[8] Presutti, E.; Pulvirenti, M.; Tirozzi, B., Time evolution of infinite classical systems with singular, long range, two body interactions, Comm. Math. Phys., 47, 81-95 (1976)
[9] Prohorov, Yu. V.; Rozanov, Yu. A., Probability Theory (1969), New York-Heidelberg-Berlin: Springer, New York-Heidelberg-Berlin · Zbl 0186.49701
[10] Ruelle, D., Superstable interactions in classical statistical mechanics, Comm. Math. Phys., 18, 127-159 (1970) · Zbl 0198.31101
[11] Sinai, Ya. G., Construction of the dynamics for one-dimensional systems of statistical mechanics, Theoret. Math. Fiz., 11, 248-258 (1972)
[12] Sinai, Ya. G., The construction of cluster dynamics for dynamic systems of statistical mechanics, Vestnik Moscov. Univ. Ser. I, Mat. Meh., 29, 152-159 (1974)
[13] Spitzer, F., Uniform motion with elastic collision of an infinite particle system, J. Math. Mech., 18, 973-989 (1969) · Zbl 0184.21102
[14] Yaglom, A. M., über die statistische Umkehrbarkeit der Brownschen Bewegung, Mat. Sb., 24, 66, 457-492 (1949) · Zbl 0041.25301
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.