Phase transition and Martin boundary

Hans Föllmer

Séminaire de probabilités de Strasbourg (1975)

  • Volume: 9, page 305-317

How to cite


Föllmer, Hans. "Phase transition and Martin boundary." Séminaire de probabilités de Strasbourg 9 (1975): 305-317. <>.

author = {Föllmer, Hans},
journal = {Séminaire de probabilités de Strasbourg},
language = {eng},
pages = {305-317},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Phase transition and Martin boundary},
url = {},
volume = {9},
year = {1975},

AU - Föllmer, Hans
TI - Phase transition and Martin boundary
JO - Séminaire de probabilités de Strasbourg
PY - 1975
PB - Springer - Lecture Notes in Mathematics
VL - 9
SP - 305
EP - 317
LA - eng
UR -
ER -


  1. [ 1] Dobrushin, R.L.: Description of a random field by means of conditional probabilities and conditions of its regularity. Theor. Probability Appl.13, 197-224 (1968). Zbl0184.40403MR231434
  2. [ 2] Dobrushin, R.L.and Minlos, R.A.: Construction of a one-dimensional Quantum Field via a continuous Markov Field. To appear. Zbl0294.60081MR1403091
  3. [ 3] Dunford, N. and Schwartz, J.T.: Linear Operators I. New York: Interscience1958. Zbl0084.10402MR117523
  4. [ 4] Dynkin, E.B.: Entrance and Exit Spaces for a Markov Process. Actes, Congrès intern. Math., 1970. Tome 2, 507-512 (1971). Zbl0265.60068MR426175
  5. [ 5] Dyson, F.J.: Existence of a phase-transition in a one dimensional Ising Ferromagnet. Comm. Math. Phys.12, 91 (1969). Zbl1306.47082MR436850
  6. [ 6] Föllmer, H.: The Exit Measure of a Supermartingale. Z. Wahrscheinlichkeitstheorie verw. Geb.21, 154-166 (1972). Zbl0231.60033MR309184
  7. [ 7] Georgii H.-O., : Two Remarks on Extremal Equilibrium States. Comm. Math. Phys.32, 107-118 (1970). MR426763
  8. [ 8] Guerra, F., Rosen, L., Simon, B.: The P(φ)2 Euclidean Quantum Field Theory as Classical Statistical Mechanics. To appear. 
  9. [ 9] Meyer, P.A.: Un lemme de théorie des martingales. Sém. Probabilités III. Lecture Notes Mathematics88 (1969). 
  10. [10] Nelson, E.: The Free Markoff Field. J. Functional Analysis12, 211-227 (1973). Zbl0273.60079MR343816
  11. [11] Parathasarathy, K.R.: Probability measures on metric spaces. New York-London: Academic Press1967. Zbl0153.19101
  12. [12] Preston, C.J.: Specification of random fields. To appear. Zbl0357.60052MR488382
  13. [13] Simon, B.: Positivity of the Hamiltonian Semigroup and the Construction of Euclidean Region Fields. To appear. MR381541
  14. [14] Spitzer, F.: Random fields and interacting particle systems. Notes on lectures given at the 1971 MAA Summer Seminar, Williams College, Williamstown, Mass.Mathematical Association of America1971. MR381041

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