-
1
-
-
0002385932
-
Mean-field lattice trees
-
C. Borgs, J.T. Chayes, R. van der Hofstad, and G. Slade. Mean-field lattice trees. Ann. Combinatorics, 3:205-221, (1999).
-
(1999)
Ann. Combinatorics
, vol.3
, pp. 205-221
-
-
Borgs, C.1
Chayes, J.T.2
Van Der Hofstad, R.3
Slade, G.4
-
2
-
-
34548217153
-
Self-avoiding walk enumeration via the lace expansion
-
N. Clisby, R. Liang, and G. Slade. Self-avoiding walk enumeration via the lace expansion. J. Phys. A: Math. Theor., 40:10973-11017, (2007).
-
(2007)
J. Phys. A: Math. Theor.
, vol.40
, pp. 10973-11017
-
-
Clisby, N.1
Liang, R.2
Slade, G.3
-
3
-
-
0032362767
-
The scaling limit of lattice trees in high dimensions
-
E. Derbez and G. Slade. The scaling limit of lattice trees in high dimensions. Commun. Math. Phys., 193:69-104, (1998).
-
(1998)
Commun. Math. Phys.
, vol.193
, pp. 69-104
-
-
Derbez, E.1
Slade, G.2
-
4
-
-
0039004001
-
1/d-expansions for the free energy of weakly embedded site animal models of branched polymers
-
D.S. Gaunt and P. J. Peard. 1/d-expansions for the free energy of weakly embedded site animal models of branched polymers. J. Phys. A: Math. Gen., 33:7515-7539, (2000).
-
(2000)
J. Phys. A: Math. Gen.
, vol.33
, pp. 7515-7539
-
-
Gaunt, D.S.1
Peard, P.J.2
-
5
-
-
77952894235
-
Borel-type bounds for the self-avoiding walk connective constant
-
B.T. Graham. Borel-type bounds for the self-avoiding walk connective constant. J. Phys. A: Math. Theor., 43:235001, (2010).
-
(2010)
J. Phys. A: Math. Theor.
, pp. 43
-
-
Graham, B.T.1
-
6
-
-
50249118414
-
Decay of correlations in nearest-neighbor self-avoiding walk, percolation, lattice trees and animals
-
T. Hara. Decay of correlations in nearest-neighbor self-avoiding walk, percolation, lattice trees and animals. Ann. Probab., 36:530-593, (2008).
-
(2008)
Ann. Probab.
, vol.36
, pp. 530-593
-
-
Hara, T.1
-
7
-
-
5544254271
-
On the upper critical dimension of lattice trees and lattice animals
-
T. Hara and G. Slade. On the upper critical dimension of lattice trees and lattice animals. J. Stat. Phys., 59:1469-1510, (1990).
-
(1990)
J. Stat. Phys.
, vol.59
, pp. 1469-1510
-
-
Hara, T.1
Slade, G.2
-
8
-
-
84974065206
-
The self-avoiding-walk and percolation critical points in high dimensions
-
T. Hara and G. Slade. The self-avoiding-walk and percolation critical points in high dimensions. Combin. Probab. Comput., 4:197-215, (1995).
-
(1995)
Combin. Probab. Comput.
, vol.4
, pp. 197-215
-
-
Hara, T.1
Slade, G.2
-
9
-
-
0000932430
-
Renormalized (1/ct) expansion for lattice trees and localization
-
A.B. Harris. Renormalized (1/ct) expansion for lattice trees and localization. Phys. Rev. B, 26:337-366, (1982).
-
(1982)
Phys. Rev. B
, vol.26
, pp. 337-366
-
-
Harris, A.B.1
-
10
-
-
21644483183
-
Critical points for spread-out self-avoiding walk, percolation and the contact process
-
R. van der Hofstad and A. Sakai. Critical points for spread-out self-avoiding walk, percolation and the contact process. Probab. Theory Related Fields, 132:438-470, (2005).
-
(2005)
Probab. Theory Related Fields
, vol.132
, pp. 438-470
-
-
Van Der Hofstad, R.1
Sakai, A.2
-
12
-
-
43449097209
-
Convergence of lattice trees to super-Brownian motion above the critical dimension
-
M. Holmes. Convergence of lattice trees to super-Brownian motion above the critical dimension. Electr. J. Probab., 13:671-755, (2008).
-
(2008)
Electr. J. Probab.
, vol.13
, pp. 671-755
-
-
Holmes, M.1
-
13
-
-
0038067433
-
The Statistical Mechanics of Interacting Walks
-
Oxford University Press, Oxford
-
E. J. Janse van Rensburg. The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles. Oxford University Press, Oxford, (2000).
-
(2000)
Polygons, Animals and Vesicles
-
-
Janse Van Rensburg, E.J.1
-
14
-
-
0000272507
-
Cell growth problems
-
D.A. Klarner. Cell growth problems. Canad. J. Math., 19:851-863, (1967).
-
(1967)
Canad. J. Math.
, vol.19
, pp. 851-863
-
-
Klarner, D.A.1
-
15
-
-
0000240574
-
Rigorous results for branched polymer models with excluded volume
-
D.J. Klein. Rigorous results for branched polymer models with excluded volume. J. Chem. Phys., 75:5186-5189, (1981).
-
(1981)
J. Chem. Phys.
, vol.75
, pp. 5186-5189
-
-
Klein, D.J.1
-
16
-
-
21844486840
-
1/d-expansions for the free energy of lattice animal models of a self-interacting branched polymer
-
PJ. Peard and D.S. Gaunt. 1/d-expansions for the free energy of lattice animal models of a self-interacting branched polymer. J. Phys. A: Math. Gen., 28:6109-6124, (1995).
-
(1995)
J. Phys. A: Math. Gen.
, vol.28
, pp. 6109-6124
-
-
Peard, P.J.1
Gaunt, D.S.2
-
17
-
-
0000705654
-
On the spread-out limit for bond and continuum percolation
-
M.D. Penrose. On the spread-out limit for bond and continuum percolation. Ann. Appl. Probab., 3:253-276, (1993).
-
(1993)
Ann. Appl. Probab.
, vol.3
, pp. 253-276
-
-
Penrose, M.D.1
-
18
-
-
21844489840
-
Self-avoiding walks and trees in spread-out lattices
-
M.D. Penrose. Self-avoiding walks and trees in spread-out lattices. J. Stat. Phys., 77:3-15, (1994).
-
(1994)
J. Stat. Phys.
, vol.77
, pp. 3-15
-
-
Penrose, M.D.1
-
19
-
-
34247143845
-
-
Springer, Berlin, Lecture Notes in Mathematics Vol, Ecole d’Eté de Probabilités de Saint-Flour XXXIV-2004
-
G. Slade. The Lace Expansion and its Applications. Springer, Berlin, (2006). Lecture Notes in Mathematics Vol. 1879. Ecole d’Eté de Probabilités de Saint-Flour XXXIV-2004.
-
(2006)
The Lace Expansion and Its Applications
, vol.1879
-
-
Slade, G.1
-
20
-
-
0003652674
-
-
volume, Cambridge University Press, Cambridge
-
R.P Stanley. Enumerative Combinatorics, volume 1. Cambridge University Press, Cambridge, (1997).
-
(1997)
Enumerative Combinatorics
, vol.1
-
-
Stanley, R.P.1
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