-
1
-
-
0004034112
-
Measure-Valued Markov Processes
-
Ecole d'Eté Probabilit és de Saint Flour XXI., LNM 1541, . MR1242575
-
Dawson, D. A. (1993) Measure-Valued Markov Processes. Ecole d'Eté Probabilit és de Saint Flour XXI., LNM 1541, 1-260. MR1242575
-
(1993)
, pp. 1-260
-
-
Dawson, D.A.1
-
2
-
-
0003619753
-
An introduction to branching measure-valued processes
-
CRM Monograph Series, 6. American Mathematical Society, Providence, RI, MR1280712
-
Dynkin, E. B. (1994) An introduction to branching measure-valued processes. CRM Monograph Series, 6. American Mathematical Society, Providence, RI, 134 pp. MR1280712
-
(1994)
, pp. 134
-
-
Dynkin, E.B.1
-
3
-
-
0035470882
-
Branching exit Markov systems and superprocesses
-
MR1880244
-
Dynkin, E. B. (2001) Branching exit Markov systems and superprocesses. Ann. Probab. 29(4), 1833-1858. MR1880244
-
(2001)
Ann. Probab.
, vol.29
, Issue.4
, pp. 1833-1858
-
-
Dynkin, E.B.1
-
4
-
-
0038934377
-
On the construction and support properties of measure-valued diffusions on D ? Rd with spatially dependent branching, Ann
-
MR1698955
-
Engländer, J. and Pinsky, R. (1999) On the construction and support properties of measure-valued diffusions on D ? Rd with spatially dependent branching, Ann. Probab. 27(2), 684-730. MR1698955
-
(1999)
Probab.
, vol.27
, Issue.2
, pp. 684-730
-
-
Engländer, J.1
Pinsky, R.2
-
5
-
-
0004266188
-
An introduction to superprocesses
-
AMS lecture notes. MR1779100
-
Etheridge, A. (2000) An introduction to superprocesses. AMS lecture notes. MR1779100
-
(2000)
-
-
Etheridge, A.1
-
6
-
-
51849181398
-
Construction and regularity of measure-valued Markov branching processes
-
MR0995575
-
Fitzsimmons, P. J. (1988) Construction and regularity of measure-valued Markov branching processes. Israel J. Math. 64(3), 337-361 MR0995575
-
(1988)
Israel J. Math.
, vol.64
, Issue.3
, pp. 337-361
-
-
Fitzsimmons, P.J.1
-
7
-
-
0034403735
-
The complete characterization of a general class of superprocesses
-
MR1749278
-
Leduc, G. (2000) The complete characterization of a general class of superprocesses. Probab. Theory Related Fields 116(3), 317-358. MR1749278
-
(2000)
Probab. Theory Related Fields
, vol.116
, Issue.3
, pp. 317-358
-
-
Leduc, G.1
-
8
-
-
34548528213
-
Processus de branchement, arbres et superprocessus
-
(French) [Branching processes, trees and superprocesses] Development of mathematics 1950-2000, Birkhäuser, Basel. MR1796858
-
Le Gall, J.F. (2000) Processus de branchement, arbres et superprocessus. (French) [Branching processes, trees and superprocesses] Development of mathematics 1950-2000, 763-793, Birkhäuser, Basel. MR1796858
-
(2000)
, pp. 763-793
-
-
Le Gall, J.F.1
-
9
-
-
0007202416
-
Dawson-Watanabe superprocesses and measure-valued diffusions
-
Lectures on probability theory and statistics (Saint-Flour, 1999), Lecture Notes in Math., 1781, Springer, Berlin. MR1915445
-
Perkins, E. (2002) Dawson-Watanabe superprocesses and measure-valued diffusions. Lectures on probability theory and statistics (Saint-Flour, 1999), 125-324, Lecture Notes in Math., 1781, Springer, Berlin. MR1915445
-
(2002)
, pp. 125-324
-
-
Perkins, E.1
-
10
-
-
0003741894
-
Positive Harmonic Functions and Diffusion
-
Cambridge University Press. MR1326606
-
Pinsky, R. G. (1995) Positive Harmonic Functions and Diffusion. Cambridge University Press. MR1326606
-
(1995)
-
-
Pinsky, R.G.1
-
11
-
-
0011676630
-
Almost-sure path properties of (2, d, ß)-superprocesses
-
MR1288290
-
Dawson, D. A.; Vinogradov, V. (1994) Almost-sure path properties of (2, d, ß)-superprocesses. Stochastic Process. Appl. 51(2), 221-258. MR1288290
-
(1994)
Stochastic Process. Appl.
, vol.51
, Issue.2
, pp. 221-258
-
-
Dawson, D.A.1
Vinogradov, V.2
-
12
-
-
0033164058
-
Path properties of superprocesses with a general branching mechanism
-
MR1733142
-
Delmas, J.F. (1999) Path properties of superprocesses with a general branching mechanism. Ann. Probab. 27(3), 1099-1134. MR1733142
-
(1999)
Ann. Probab.
, vol.27
, Issue.3
, pp. 1099-1134
-
-
Delmas, J.F.1
-
13
-
-
3543009823
-
Random trees, Lévy processes and spatial branching processes
-
Astérisque No. 281 MR1954248
-
Duquesne, T. and Le Gall, J.F. (2002) Random trees, Lévy processes and spatial branching processes. Astérisque No. 281 MR1954248
-
(2002)
-
-
Duquesne, T.1
Le Gall, J.F.2
-
14
-
-
0001417178
-
Superprocesses and partial differential equations
-
MR1235414
-
Dynkin, E. B. (1993) Superprocesses and partial differential equations. Ann. Probab. 21(3), 1185-1262. MR1235414
-
(1993)
Ann. Probab.
, vol.21
, Issue.3
, pp. 1185-1262
-
-
Dynkin, E.B.1
-
15
-
-
7444232848
-
Superdiffusions and positive solutions of nonlinear partial differential equations
-
(Appendix A by J.F. Le Gall and Appendix B by I. E. Verbitsky.) University Lecture Series, AmericanMathematical Society, Providence, RI. MR2089791
-
Dynkin, E. B. (2004) Superdiffusions and positive solutions of nonlinear partial differential equations. (Appendix A by J.F. Le Gall and Appendix B by I. E. Verbitsky.) University Lecture Series, 34. AmericanMathematical Society, Providence, RI. MR2089791
-
(2004)
, pp. 34
-
-
Dynkin, E.B.1
-
16
-
-
0010800576
-
Weighted occupation time for branching particle systems and a representation for the supercritical superprocess
-
MR1275703
-
Evans, S. N.; O'Connell, N. (1994)Weighted occupation time for branching particle systems and a representation for the supercritical superprocess. Canad. Math. Bull. 37(2), 187-196. MR1275703
-
(1994)
Canad. Math. Bull.
, vol.37
, Issue.2
, pp. 187-196
-
-
Evans, S.N.1
O'Connell, N.2
-
17
-
-
0034360568
-
2 in Rd for all d ≥ 1-a new probabilistic approach
-
MR1795992
-
2 in Rd for all d ≥ 1-a new probabilistic approach. Positivity 4, no. 4, 327-337. MR1795992
-
(2000)
Positivity
, vol.4
, Issue.4
, pp. 327-337
-
-
Engländer, J.1
-
18
-
-
0038934377
-
On the construction and support properties of measure-valued diffusions on D ? Rd with spatially dependent branching, Ann
-
MR1698955
-
Engländer, J. and Pinsky, R. (1999) On the construction and support properties of measure-valued diffusions on D ? Rd with spatially dependent branching, Ann. Probab. 27(2), 684-730. MR1698955
-
(1999)
Probab.
, vol.27
, Issue.2
, pp. 684-730
-
-
Engländer, J.1
Pinsky, R.2
-
19
-
-
84890658651
-
Random trees and applications
-
(electronic). MR2203728
-
Le Gall, J.F. (2005) Random trees and applications. Probab. Surv. 2, 245- 311 (electronic). MR2203728
-
(2005)
Probab. Surv.
, vol.2
-
-
Le Gall, J.F.1
-
20
-
-
1542607824
-
Some properties of (a, d, ß)-superprocesses
-
MR1402965
-
Li, C. (1996) Some properties of (a, d, ß)-superprocesses. Acta Math. Sci. (English Ed.) 16(2), 234-240. MR1402965
-
(1996)
Acta Math. Sci. (English Ed.)
, vol.16
, Issue.2
, pp. 234-240
-
-
Li, C.1
-
21
-
-
1342288860
-
Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation
-
MR2031708
-
Mselati, B. (2004) Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation. Mem. Amer. Math. Soc. 168(798). MR2031708
-
(2004)
Mem. Amer. Math. Soc.
, vol.168
, Issue.798
-
-
Mselati, B.1
-
22
-
-
0030486030
-
Transience, recurrence and local extinction properties of the support for supercritical finite measure-valued diffusions
-
MR1387634
-
Pinsky, R. G. (1996) Transience, recurrence and local extinction properties of the support for supercritical finite measure-valued diffusions. Ann. Probab. 24(1), 237-267. MR1387634
-
(1996)
Ann. Probab.
, vol.24
, Issue.1
, pp. 237-267
-
-
Pinsky, R.G.1
-
23
-
-
0010931534
-
Asymptotic behavior of superprocesses
-
MR1785007
-
Sheu, Y.C. (1994) Asymptotic behavior of superprocesses. Stochastics Stochastics Rep. 49(3-4), 239-252. MR1785007
-
(1994)
Stochastics Stochastics Rep.
, vol.49
, Issue.3-4
, pp. 239-252
-
-
Sheu, Y.C.1
-
24
-
-
0001372549
-
The behavior of superprocesses near extinction
-
MR1143421
-
Tribe, R. (1992) The behavior of superprocesses near extinction. Ann. Probab. 20(1), 286-311. MR1143421
-
(1992)
Ann. Probab.
, vol.20
, Issue.1
, pp. 286-311
-
-
Tribe, R.1
-
25
-
-
0040149001
-
KPP equation and supercritical branching Brownian motion in the subcritical speed area
-
MR0968823
-
Chauvin, B. and Rouault, A. (1988) KPP equation and supercritical branching Brownian motion in the subcritical speed area. Application to spatial trees. Probab. Theory Related Fields, 80, 299-314. MR0968823
-
(1988)
Application to spatial trees. Probab. Theory Related Fields
, vol.80
, pp. 299-314
-
-
Chauvin, B.1
Rouault, A.2
-
26
-
-
17144459686
-
Local extinction versus local exponential growth for spatial branching processes, Ann
-
MR2040776
-
Engländer, J. and Kyprianou, A. (2003) Local extinction versus local exponential growth for spatial branching processes, Ann. Probab. 32(1A), 78-99. MR2040776
-
(2003)
Probab.
, vol.32 A
, Issue.1
, pp. 78-99
-
-
Engländer, J.1
Kyprianou, A.2
-
27
-
-
84971790772
-
Two representations of a superprocess
-
Proc. Royal. Soc. Edin. . Git, Y.; Harris, MR1249698
-
Evans, S. N. (1993) Two representations of a superprocess. Proc. Royal. Soc. Edin. 123A 959-971. Git, Y.; Harris, MR1249698
-
(1993)
, vol.123 A
, pp. 959-971
-
-
Evans, S.N.1
-
28
-
-
51149089970
-
Exponential growth rates in a typed branching diffusion
-
MR2308337
-
Git, Y., Harris, J. W. and Harris, S. C. (2007) Exponential growth rates in a typed branching diffusion. Ann. Appl. Probab. 17(2), 609-653. MR2308337
-
(2007)
Ann. Appl. Probab.
, vol.17
, Issue.2
, pp. 609-653
-
-
Git, Y.1
Harris, J.W.2
Harris, S.C.3
-
29
-
-
33750605614
-
A conceptual approach to a path result for branching Brownian motion
-
MR2307069
-
Hardy, R. and Harris, S. C. (2006) A conceptual approach to a path result for branching Brownian motion. Stoc. Proc. Appl. 116(12), 1992-2013. MR2307069
-
(2006)
Stoc. Proc. Appl.
, vol.116
, Issue.12
, pp. 1992-2013
-
-
Hardy, R.1
Harris, S.C.2
-
30
-
-
0000028988
-
Conceptual proofs of LlogL criteria for mean behavior of branching processes
-
MR1349164
-
Lyons, R., Pemantle R. and Peres, Y. (1995) Conceptual proofs of LlogL criteria for mean behavior of branching processes. Ann. Probab. 23, 1125- 1138. MR1349164
-
(1995)
Ann. Probab.
, vol.23
-
-
Lyons, R.1
Pemantle, R.2
Peres, Y.3
-
31
-
-
0001837271
-
Uniform convergence in the branching random walk, Ann
-
MR1143415
-
Biggins, J. (1992) Uniform convergence in the branching random walk, Ann. Probab., 20, 137-151. MR1143415
-
(1992)
Probab.
, vol.20
, pp. 137-151
-
-
Biggins, J.1
-
32
-
-
84890723232
-
An almost sure scaling limit theorem for Dawson-Watanabe superprocesses
-
Preprint, electronically available at
-
Chen, ZQ., Ren, Y. and Wang, H. (2007) An almost sure scaling limit theorem for Dawson-Watanabe superprocesses, Preprint, electronically available at http://www.math.washington.edu/~zchen/paper.html
-
(2007)
-
-
Chen, Z.Q.1
Ren, Y.2
Wang, H.3
-
33
-
-
34547751356
-
Limit theorems for branching Markov processes, J
-
MR2352485
-
Chen, ZQ. and Shiozawa Y. (2007) Limit theorems for branching Markov processes, J. Funct. Anal. 250(2), 374-399. MR2352485
-
(2007)
Funct. Anal.
, vol.250
, Issue.2
, pp. 374-399
-
-
Chen, Z.Q.1
Shiozawa, Y.2
-
34
-
-
84890764585
-
Law of large numbers for superdiffusions: the nonergodic case, to appear in Ann
-
Inst. H. Poincare B.
-
Engländer, J. (2007) Law of large numbers for superdiffusions: the nonergodic case, to appear in Ann. Inst. H. Poincare B.
-
(2007)
-
-
Engländer, J.1
-
35
-
-
0036018201
-
A scaling limit theorem for a class of superdiffusions
-
MR1905855
-
Engländer, J. and Turaev, D. (2002) A scaling limit theorem for a class of superdiffusions. Ann. Probab. 30(2) 683-722. MR1905855
-
(2002)
Ann. Probab.
, vol.30
, Issue.2
, pp. 683-722
-
-
Engländer, J.1
Turaev, D.2
-
36
-
-
31444434412
-
Law of large numbers for a class of superdiffusions
-
MR2199796
-
Engländer, J. and Winter, A. (2006) Law of large numbers for a class of superdiffusions. Ann. Inst. H. Poincare B, 42(2), 171-185. MR2199796
-
(2006)
Ann. Inst. H.Poincare B
, vol.42
, Issue.2
, pp. 171-185
-
-
Engländer, J.1
Winter, A.2
-
37
-
-
84890737147
-
Strong Law of Large Numbers for branching diffusions
-
Preprint, electronically available at
-
Engländer, J., Harris, S.C. and Kyprianou A. E. (2007) Strong Law of Large Numbers for branching diffusions, Preprint, electronically available at http://www.pstat.ucsb.edu/faculty/englander/publications.html
-
(2007)
-
-
Engländer, J.1
Harris, S.C.2
Kyprianou, A.E.3
-
38
-
-
0001686614
-
A limit theorem of branching processes and continuous state branching processes
-
MR0237008
-
Watanabe, S. (1968) A limit theorem of branching processes and continuous state branching processes. J. Math. Kyoto Univ. 8, 141-167. MR0237008
-
(1968)
J. Math. Kyoto Univ.
, vol.8
, pp. 141-167
-
-
Watanabe, S.1
-
39
-
-
84951415984
-
Problèmes paraboliques semi-linéaires avec données mesures
-
MR0762868
-
Baras, P. and Pierre, M. (1984) Problèmes paraboliques semi-linéaires avec données mesures, Applicable Anal. 18, 111-149. MR0762868
-
(1984)
Applicable Anal
, vol.18
, pp. 111-149
-
-
Baras, P.1
Pierre, M.2
-
40
-
-
0000441817
-
Super-Brownian motion: Path properties and hitting probabilities
-
MR1012498
-
Dawson, D. A., Iscoe, I. and Perkins, E. A. Super-Brownian motion: Path properties and hitting probabilities, Probab. Theory Related Fields 83 (1989), 135-205. MR1012498
-
(1989)
Probab. Theory Related Fields
, vol.83
, pp. 135-205
-
-
Dawson, D.A.1
Iscoe, I.2
Perkins, E.A.3
-
41
-
-
0030531421
-
Superdiffusions and removable singulari- ties for quasilinear partial differential equations
-
MR1371926
-
Dynkin, E.B. and Kuznetsov, S. Superdiffusions and removable singulari- ties for quasilinear partial differential equations, Comm. Pure Appl. Math. 49 (1996), 125-176. MR1371926
-
(1996)
Comm. Pure Appl. Math.
, vol.49
, pp. 125-176
-
-
Dynkin, E.B.1
Kuznetsov, S.2
-
42
-
-
33748705950
-
The compact support property for measure-valued processes
-
MR2259973
-
Engländer, J., Pinsky, Ross G. (2006) The compact support property for measure-valued processes. Ann. Inst. H. Poincaré Probab. Statist. 42(5), 535-552. MR2259973
-
(2006)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.42
, Issue.5
, pp. 535-552
-
-
Engländer, J.1
Pinsky, R.G.2
-
43
-
-
0009151742
-
A note on superprocesses, Probab
-
MR1110534
-
Etheridge, A. and March, P. (1991), A note on superprocesses, Probab. Theory Related Fields, 89(2), 141-147. MR1110534
-
(1991)
Theory,Related Fields
, vol.89
, Issue.2
, pp. 141-147
-
-
Etheridge, A.1
March, P.2
-
44
-
-
29144474593
-
Positive Solutions of Reaction diffusion equations with super-linear absorption: Universal bounds, uniqueness for the Cauchy problem, boundedness of stationary solutions, J
-
MR2183378
-
Pinsky, R. (2006) Positive Solutions of Reaction diffusion equations with super-linear absorption: Universal bounds, uniqueness for the Cauchy problem, boundedness of stationary solutions, J. Differential Equations 220(2), 407-433. MR2183378
-
(2006)
Differential Equations
, vol.220
, Issue.2
, pp. 407-433
-
-
Pinsky, R.1
-
45
-
-
84980162898
-
Asymptotics for the Wiener sausage
-
MR0397901
-
Donsker, M. D., Varadhan, S. R. S. (1975) Asymptotics for the Wiener sausage. Comm. Pure Appl. Math. 28, no. 4, 525-565. MR0397901
-
(1975)
Comm. Pure Appl. Math.
, vol.28
, Issue.4
, pp. 525-565
-
-
Donsker, M.D.1
Varadhan, S.R.S.2
-
46
-
-
4444291184
-
Replication of a multicomponent chain by the 'lightning mechanism'
-
Chernov A. A. (1967), Replication of a multicomponent chain by the 'lightning mechanism', Biophysics 12 336 - 341.
-
(1967)
Biophysics
, vol.12
, pp. 336-341
-
-
Chernov, A.A.1
-
47
-
-
0001520423
-
The network model of porous media III
-
Dynamic properties of networks with tube radius distribution. Trans AIME
-
Fatt, I. (1956) The network model of porous media III. Dynamic properties of networks with tube radius distribution. Trans AIME 207, pp. 164-181.
-
(1956)
, vol.207
, pp. 164-181
-
-
Fatt, I.1
-
48
-
-
0002967245
-
Random walks in a random environment
-
MR0362503
-
Solomon, F. (1975) Random walks in a random environment. Ann. Probability 3, 1-31. MR0362503
-
(1975)
Ann. Probability
, vol.3
, pp. 1-31
-
-
Solomon, F.1
-
49
-
-
0003760039
-
Brownian motion, obstacles and random media
-
Springer Monographs in Mathematics. Springer-Verlag, Berlin. MR1717054
-
Sznitman, A. (1998) Brownian motion, obstacles and random media. Springer Monographs in Mathematics. Springer-Verlag, Berlin. MR1717054
-
(1998)
-
-
Sznitman, A.1
-
50
-
-
9144263623
-
Topics in random walks in random environment
-
School and Conference on Probability Theory, (electronic), ICTP Lect. Notes, XVII, Abdus Salam Int. Cent. Theoret. Phys., Trieste. MR2198849
-
Sznitman, A. (2004) Topics in random walks in random environment. School and Conference on Probability Theory, 203-266 (electronic), ICTP Lect. Notes, XVII, Abdus Salam Int. Cent. Theoret. Phys., Trieste. MR2198849
-
(2004)
, pp. 203-266
-
-
Sznitman, A.1
-
51
-
-
0035537281
-
On a class of transient random walks in random environment
-
MR1849176
-
Sznitman, A. (2001) On a class of transient random walks in random environment. Ann. Probab. 29(2), 724-765. MR1849176
-
(2001)
Ann. Probab.
, vol.29
, Issue.2
, pp. 724-765
-
-
Sznitman, A.1
-
52
-
-
0033212391
-
A law of large numbers for random walks in random environment
-
MR1742891
-
Sznitman, A. and Zerner, M. P. W. (1999) A law of large numbers for random walks in random environment. Ann. Probab. 27(4), 1851-1869. MR1742891
-
(1999)
Ann. Probab.
, vol.27
, Issue.4
, pp. 1851-1869
-
-
Sznitman, A.1
Zerner, M.P.W.2
-
53
-
-
0033483026
-
Slowdown and neutral pockets for a random walk in random environment
-
MR1725386
-
Sznitman, A. (1999) Slowdown and neutral pockets for a random walk in random environment. Probab. Theory Related Fields 115(3), 287-323. MR1725386
-
(1999)
Probab. Theory Related Fields
, vol.115
, Issue.3
, pp. 287-323
-
-
Sznitman, A.1
-
55
-
-
4444321966
-
Random walks in random environment
-
Lectures on probability theory and statistics, Lecture Notes in Math., 1837, Springer, Berlin. MR2071631
-
Zeitouni, O. (2004) Random walks in random environment. Lectures on probability theory and statistics, 189-312, Lecture Notes in Math., 1837, Springer, Berlin. MR2071631
-
(2004)
, pp. 189-312
-
-
Zeitouni, O.1
-
56
-
-
0035470871
-
A zero-one law for planar random walks in random environment
-
MR1880239
-
Zerner, M. P. W. and Merkl, F. (2001) A zero-one law for planar random walks in random environment. Ann. Probab. 29(4), 1716-1732.MR1880239
-
(2001)
Ann. Probab.
, vol.29
, Issue.4
, pp. 1716-1732
-
-
Zerner, M.P.W.1
Merkl, F.2
-
57
-
-
0042229249
-
Velocity and Lyapounov exponents of some random walks in random environment
-
MR1797391
-
Zerner, Martin P. W. (2000) Velocity and Lyapounov exponents of some random walks in random environment. Ann. Inst. H. Poincaré Probab. Statist. 36(6), 737-748. MR1797391
-
(2000)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.36
, Issue.6
, pp. 737-748
-
-
Zerner, M.P.W.1
-
58
-
-
0043209710
-
On the volume of the supercritical super-Brownian sausage conditioned on survival, Stochastic Process
-
MR1767846
-
Engländer, J. (2000) On the volume of the supercritical super-Brownian sausage conditioned on survival, Stochastic Process. Appl. 88, 225-243. MR1767846
-
(2000)
Appl.
, vol.88
, pp. 225-243
-
-
Engländer, J.1
-
59
-
-
25944434970
-
Survival asymptotics for branching Brownian motion in a Poissonian trap field, Markov Process
-
MR2028219
-
Engländer, J., den Hollander, F. (2003) Survival asymptotics for branching Brownian motion in a Poissonian trap field, Markov Process. Related Fields 9, no. 3, 363-389. MR2028219
-
(2003)
Related Fields
, vol.9
, Issue.3
, pp. 363-389
-
-
Engländer, J.1
den Hollander, F.2
-
61
-
-
0011523712
-
Minimal displacement of branching random walk
-
MR0510529
-
M. D. Bramson (1978) Minimal displacement of branching random walk. Z. Wahrsch. Verw. Gebiete 45(2), 89-108. MR0510529
-
(1978)
Z. Wahrsch. Verw. Gebiete
, vol.45
, Issue.2
, pp. 89-108
-
-
Bramson, M.D.1
-
62
-
-
84980189802
-
Maximal displacement of branching Brownian motion
-
MR0494541
-
M. D. Bramson (1978) Maximal displacement of branching Brownian motion. Comm. Pure Appl. Math. 31(5), 531-581. MR0494541
-
(1978)
Comm. Pure Appl. Math.
, vol.31
, Issue.5
, pp. 531-581
-
-
Bramson, M.D.1
-
63
-
-
2942630398
-
Spatial ecology via reaction-diffusion equations
-
Wiley Series in Mathematical and Computational Biology. John Wiley and Sons. MR2191264
-
R. S. Cantrell, C. Cosner (2003) Spatial ecology via reaction-diffusion equations. Wiley Series in Mathematical and Computational Biology. John Wiley and Sons. MR2191264
-
(2003)
-
-
Cantrell, R.S.1
Cosner, C.2
-
64
-
-
84890782689
-
Quenched Law of Large numbers for Branching Brownian motion in a random medium
-
Ann. Inst. H. Poincaré Probab. Statist., to appear
-
Engländer, J. (2007) Quenched Law of Large numbers for Branching Brownian motion in a random medium. Ann. Inst. H. Poincaré Probab. Statist., to appear
-
(2007)
-
-
Engländer, J.1
-
65
-
-
0003919006
-
Functional integration and partial differential equations
-
Annals of Mathematics Studies, Princeton University Press. MR0833742
-
M. Freidlin, (1985) Functional integration and partial differential equations. Annals of Mathematics Studies, 109, Princeton University Press. MR0833742
-
(1985)
, pp. 109
-
-
Freidlin, M.1
-
66
-
-
28644438256
-
Further probabilistic analysis of the Fisher-Kolmogorov-Petrovskii-Piscounov equation: One sided travelling-waves, Ann
-
MR2196975
-
J. W. Harris, S. C. Harris and A. E. Kyprianou (2006), Further probabilistic analysis of the Fisher-Kolmogorov-Petrovskii-Piscounov equation: One sided travelling-waves, Ann. Inst. H. Poincaré Probab. Statist. 42(1), 125-145. MR2196975
-
(2006)
Inst. H. Poincaré Probab. Statist.
, vol.42
, Issue.1
, pp. 125-145
-
-
Harris, J.W.1
Harris, S.C.2
Kyprianou, A.E.3
-
67
-
-
8844287825
-
Branching random walk with catalysts
-
(electronic). MR1961167
-
H. Kesten and V. Sidoravicius (2003) Branching random walk with catalysts. Electron. J. Probab. 8(5) (electronic). MR1961167
-
(2003)
Electron. J. Probab.
, vol.8
, Issue.5
-
-
Kesten, H.1
Sidoravicius, V.2
-
68
-
-
77951839800
-
Asymptotic radial speed of the support of supercritical branching and super-Brownian motion in Rd
-
MR2099406
-
A. E. Kyprianou (2005) Asymptotic radial speed of the support of supercritical branching and super-Brownian motion in Rd. Markov Process. Related Fields. 11(1), 145-156. MR2099406
-
(2005)
Markov Process. Related Fields.
, vol.11
, Issue.1
, pp. 145-156
-
-
Kyprianou, A.E.1
-
69
-
-
0032392207
-
Wave propagation in a lattice KPP equation in random media, Ann
-
MR1634418
-
T. Y. Lee and F. Torcaso (1998) Wave propagation in a lattice KPP equation in random media, Ann. Probab., 26(3), 1179-1197. MR1634418
-
(1998)
Probab.
, vol.26
, Issue.3
, pp. 1179-1197
-
-
Lee, T.Y.1
Torcaso, F.2
-
70
-
-
0034641717
-
The importance of being discrete: Life always wins on the surface, Proc
-
N. M. Shnerb, Y. Louzoun, E. Bettelheim and S. Solomon (2000) The importance of being discrete: Life always wins on the surface, Proc. Nat. Acad. Sciences 97, 10322-10324.
-
(2000)
Nat. Acad. Sciences
, vol.97
, pp. 10322-10324
-
-
Shnerb, N.M.1
Louzoun, Y.2
Bettelheim, E.3
Solomon, S.4
-
71
-
-
4243971213
-
Adaptation of autocatalytic fluctuations to diffusive noise, Phys
-
N. M. Shnerb, E. Bettelheim, Y. Louzoun, O. Agam and S. Solomon (2001) Adaptation of autocatalytic fluctuations to diffusive noise, Phys. Rev. E 63, 21103-21108.
-
(2001)
Rev.E
, vol.63
, pp. 21103-21108
-
-
Shnerb, N.M.1
Bettelheim, E.2
Louzoun, Y.3
Agam, O.4
Solomon, S.5
-
72
-
-
0034206088
-
Front propagation in heterogeneous media
-
(electronic) MR1778352
-
J. Xin (2000) Front propagation in heterogeneous media, SIAM Rev. 42(2), 161-230 (electronic) MR1778352
-
(2000)
SIAM Rev
, vol.42
, Issue.2
, pp. 161-230
-
-
Xin, J.1
-
73
-
-
84890699760
-
Quenched Law of Large numbers for Branching Brownian motion in a random medium
-
to appear
-
Engländer, J. (2007) Quenched Law of Large numbers for Branching Brownian motion in a random medium. Ann. Inst. H. Poincaré Probab. Statist., to appear
-
(2007)
Ann. Inst. H. Poincaré Probab. Statist.
-
-
Engländer, J.1
-
74
-
-
0036821266
-
Mutually catalytic branching in the plane: finite measure states
-
MR1944004
-
Dawson, D. A., Etheridge, A. M., Fleischmann, K., Mytnik, L., Perkins, E. A. and Xiong, J. (2002) Mutually catalytic branching in the plane: finite measure states. Ann. Probab. 30(4), 1681-1762. MR1944004
-
(2002)
Ann. Probab.
, vol.30
, Issue.4
, pp. 1681-1762
-
-
Dawson, D.A.1
Etheridge, A.M.2
Fleischmann, K.3
Mytnik, L.4
Perkins, E.A.5
Xiong, J.6
-
75
-
-
0003254764
-
Mutually catalytic branching in the plane: infinite measure states
-
(electronic). MR1921744
-
Dawson, D. A., Etheridge, A. M., Fleischmann, K., Mytnik, L., Perkins, E. A. and Xiong, J. (2002) Mutually catalytic branching in the plane: infinite measure states. Electron. J. Probab. 7(15), 61 pp. (electronic). MR1921744
-
(2002)
Electron. J. Probab.
, vol.7
, Issue.15
, pp. 61
-
-
Dawson, D.A.1
Etheridge, A.M.2
Fleischmann, K.3
Mytnik, L.4
Perkins, E.A.5
Xiong, J.6
-
76
-
-
38149143515
-
A super-Brownian motion with a single point catalyst
-
MR1258279
-
Dawson, D. A.; Fleischmann, K. (1994) A super-Brownian motion with a single point catalyst. Stochastic Process. Appl. 49(1), 3-40. MR1258279
-
(1994)
Stochastic Process. Appl.
, vol.49
, Issue.1
, pp. 3-40
-
-
Dawson, D.A.1
Fleischmann, K.2
-
77
-
-
0012498858
-
Catalytic and mutually catalytic super-Brownian motions
-
Seminar on Stochastic Analysis, Random Fields and Applications, III (Ascona, 1999), Progr. Probab., 52, Birkhäuser, Basel. MR1958811
-
Dawson, D. A., Fleischmann, K. (2002) Catalytic and mutually catalytic super-Brownian motions. Seminar on Stochastic Analysis, Random Fields and Applications, III (Ascona, 1999), 89-110, Progr. Probab., 52, Birkhäuser, Basel. MR1958811
-
(2002)
, pp. 89-110
-
-
Dawson, D.A.1
Fleischmann, K.2
-
78
-
-
0040941947
-
Catalytic and mutually catalytic branching
-
Infinite dimensional stochastic analysis (Amsterdam, 1999), Verh. Afd. Natuurkd. 1. Reeks. K. Ned. Akad. Wet., 52, R. Neth. Acad. Arts Sci., Amsterdam. MR1831416
-
Dawson, D. A. and Fleischmann, K. (2000) Catalytic and mutually catalytic branching. Infinite dimensional stochastic analysis (Amsterdam, 1999), 145-170, Verh. Afd. Natuurkd. 1. Reeks. K. Ned. Akad. Wet., 52, R. Neth. Acad. Arts Sci., Amsterdam. MR1831416
-
(2000)
, pp. 145-170
-
-
Dawson, D.A.1
Fleischmann, K.2
-
79
-
-
0037267151
-
Mutually catalytic branching in the plane: uniqueness
-
MR1959845
-
Dawson, D. A., Fleischmann, K., Mytnik, L., Perkins, E. A. and Xiong, J. (2003) Mutually catalytic branching in the plane: uniqueness. Ann. Inst. H. Poincaré Probab. Statist. 39(1), 135-191. MR1959845
-
(2003)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.39
, Issue.1
, pp. 135-191
-
-
Dawson, D.A.1
Fleischmann, K.2
Mytnik, L.3
Perkins, E.A.4
Xiong, J.5
-
80
-
-
0032393494
-
Long-time behavior and coexistence in a mutually catalytic branching model
-
MR1634416
-
Dawson, D. A., Perkins, E. A. (1998) Long-time behavior and coexistence in a mutually catalytic branching model. Ann. Probab. 26(3), 1088-1138. MR1634416
-
(1998)
Ann. Probab.
, vol.26
, Issue.3
, pp. 1088-1138
-
-
Dawson, D.A.1
Perkins, E.A.2
-
81
-
-
33846820563
-
On the uniqueness problem for catalytic branching networks and other singular diffusions
-
(electronic). MR2247832
-
Dawson, D. A. and Perkins, E. A. (2006) On the uniqueness problem for catalytic branching networks and other singular diffusions. Illinois J. Math. 50(1-4), 323-383 (electronic). MR2247832
-
(2006)
Illinois J. Math.
, vol.50
, Issue.1-4
, pp. 323-383
-
-
Dawson, D.A.1
Perkins, E.A.2
-
82
-
-
3843145568
-
Generalized Mehler semigroups and catalytic branching processes with immigration
-
MR2048508
-
Dawson, D. A., Li, Z., Schmuland, B. and Sun, W. (2004) Generalized Mehler semigroups and catalytic branching processes with immigration. Potential Anal. 21(1), 75-97. MR2048508
-
(2004)
Potential Anal.
, vol.21
, Issue.1
, pp. 75-97
-
-
Dawson, D.A.1
Li, Z.2
Schmuland, B.3
Sun, W.4
-
83
-
-
0039951253
-
Branching with a single point catalyst
-
Stochastic analysis (Ithaca, NY, 1993), Proc. Sympos. Pure Math., 57, Amer. Math. Soc., Providence, RI. MR1335486
-
Dynkin, E. B. (1995) Branching with a single point catalyst. Stochastic analysis (Ithaca, NY, 1993), 423-425, Proc. Sympos. Pure Math., 57, Amer. Math. Soc., Providence, RI. MR1335486
-
(1995)
, pp. 423-425
-
-
Dynkin, E.B.1
-
84
-
-
0031632403
-
Persistence of a twodimensional super-Brownian motion in a catalyticmedium
-
MR1602028
-
Etheridge, A. M. and Fleischmann K. (1998) Persistence of a twodimensional super-Brownian motion in a catalyticmedium. Probab. Theory Related Fields 110(1), 1-12. MR1602028
-
(1998)
Probab. Theory Related Fields
, vol.110
, Issue.1
, pp. 1-12
-
-
Etheridge, A.M.1
Fleischmann, K.2
-
85
-
-
21844503686
-
A new approach to the single point catalytic super-Brownian motion
-
MR1351711
-
Fleischmann, K. and Le Gall, J.F. (1995) A new approach to the single point catalytic super-Brownian motion. Probab. Theory Related Fields 102(1), 63-82. MR1351711
-
(1995)
Probab. Theory Related Fields
, vol.102
, Issue.1
, pp. 63-82
-
-
Fleischmann, K.1
Le Gall, J.F.2
-
86
-
-
0002050211
-
Finite time extinction of catalytic branching processes
-
Stochastic models (Ottawa, ON, 1998), CMS Conf. Proc., 26, Amer. Math. Soc., Providence, RI. MR1765007
-
Fleischmann, K. and Mueller, C. (2000) Finite time extinction of catalytic branching processes. Stochastic models (Ottawa, ON, 1998), 125-139, CMS Conf. Proc., 26, Amer. Math. Soc., Providence, RI. MR1765007
-
(2000)
, pp. 125-139
-
-
Fleischmann, K.1
Mueller, C.2
-
87
-
-
0035537293
-
A cyclically catalytic super-Brownian motion
-
MR1849179
-
Fleischmann, K. and Xiong, J. (2001) A cyclically catalytic super-Brownian motion. Ann. Probab. 29(2), 820-861. MR1849179
-
(2001)
Ann. Probab.
, vol.29
, Issue.2
, pp. 820-861
-
-
Fleischmann, K.1
Xiong, J.2
-
88
-
-
8844287825
-
Branching random walk with catalysts
-
(electronic). MR1961167
-
Kesten, H., Sidoravicius, V. (2003) Branching random walk with catalysts. Electron. J. Probab. 8, no. 5. (electronic). MR1961167
-
(2003)
Electron. J. Probab.
, vol.8
, Issue.5
-
-
Kesten, H.1
Sidoravicius, V.2
-
89
-
-
0002133811
-
A review on spatial catalytic branching
-
Stochastic models (Ottawa, ON, 1998), CMS Conf. Proc., 26, Amer. Math. Soc., Providence, RI. MR1765014
-
Klenke, A. (2000) A review on spatial catalytic branching. Stochastic models (Ottawa, ON, 1998), 245-263, CMS Conf. Proc., 26, Amer. Math. Soc., Providence, RI. MR1765014
-
(2000)
, pp. 245-263
-
-
Klenke, A.1
-
90
-
-
0037290934
-
Catalytic branching and the Brownian snake
-
MR1950764
-
Klenke, A. (2003) Catalytic branching and the Brownian snake. Stochastic Process. Appl. 103(2), 211-235. MR1950764
-
(2003)
Stochastic Process. Appl.
, vol.103
, Issue.2
, pp. 211-235
-
-
Klenke, A.1
-
91
-
-
10244260425
-
A construction of catalytic super-Brownian motion via collision local time
-
MR2105370
-
Mörters, P., Vogt, P. (2005) A construction of catalytic super-Brownian motion via collision local time. Stochastic Process. Appl. 115(1), 77-90. MR2105370
-
(2005)
Stochastic Process. Appl.
, vol.115
, Issue.1
, pp. 77-90
-
-
Mörters, P.1
Vogt, P.2
-
92
-
-
0032187777
-
Uniqueness for a mutually catalytic branching model
-
MR1653845
-
Mytnik, L. (1998) Uniqueness for a mutually catalytic branching model. Probab. Theory Related Fields 112(2), 245-253. MR1653845
-
(1998)
Probab. Theory Related Fields
, vol.112
, Issue.2
, pp. 245-253
-
-
Mytnik, L.1
-
93
-
-
84862287704
-
Two-dimensional limit theorem for a critical catalytic branching random walk
-
Mathematics and computer science. III, , Trends Math., Birkhäuser, Basel. MR2090528
-
Topchii, V. and Vatutin, V. (2004) Two-dimensional limit theorem for a critical catalytic branching random walk. Mathematics and computer science. III, 387-395, Trends Math., Birkhäuser, Basel. MR2090528
-
(2004)
, pp. 387-395
-
-
Topchii, V.1
Vatutin, V.2
-
94
-
-
27144546264
-
Individuals at the origin in the critical catalytic branching random walk
-
Discrete random walks (Paris, 2003), (electronic), Discrete Math. Theor. Comput. Sci. Proc., AC, Assoc. Discrete Math. Theor. Comput. Sci., Nancy. MR2042398
-
Topchii, V. and Vatutin, V. (2003) Individuals at the origin in the critical catalytic branching random walk. Discrete random walks (Paris, 2003), 325-332 (electronic), Discrete Math. Theor. Comput. Sci. Proc., AC, Assoc. Discrete Math. Theor. Comput. Sci., Nancy. MR2042398
-
(2003)
, pp. 325-332
-
-
Topchii, V.1
Vatutin, V.2
-
95
-
-
34249111469
-
Some limit theorems for a particle system of single point catalytic branching random walks
-
MR2319610
-
Vatutin, V. and Xiong, J. (2007) Some limit theorems for a particle system of single point catalytic branching random walks. Acta Math. Sin. (Engl. Ser.) 23(6), 997-1012. MR2319610
-
(2007)
Acta Math. Sin. (Engl. Ser.)
, vol.23
, Issue.6
, pp. 997-1012
-
-
Vatutin, V.1
Xiong, J.2
-
96
-
-
34249063199
-
A limit theorem for critical catalytic branching random walks
-
translation in Theory Probab. Appl. 49(3), 498-518. MR2144864, 2004
-
Vatutin, V. A. and Topchiǐ, V. A. (2005) A limit theorem for critical catalytic branching random walks. (Russian) Teor. Veroyatn. Primen. 49 (2004), no. 3, 461-484; translation in Theory Probab. Appl. 49(3), 498-518. MR2144864
-
(2005)
(Russian) Teor. Veroyatn. Primen.
, vol.49
, Issue.3
, pp. 461-484
-
-
Vatutin, V.A.1
Topchiǐ, V.A.2
|