Perkins, Edwin A.

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 Author ID: perkins.edwin-a Published as: Perkins, Edwin A.; Perkins, Edwin; Perkins, E. A.; Perkins, E.; Perkins, Ed more...less Homepage: https://www.math.ubc.ca/~perkins/perkins.html External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 104 Publications since 1981, including 4 Books Co-Authors: 36 Co-Authors with 78 Joint Publications 905 Co-Co-Authors
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Co-Authors

 25 single-authored 14 Barlow, Martin T. 11 Dawson, Donald Andrew 11 Mytnik, Leonid 10 Cox, J. Theodore 9 Bass, Richard F. 7 Taylor, Samuel James 6 Durrett, Richard Timothy 6 Evans, Steven Neil 5 Müller, Carl E. 3 Athreya, Siva R. 3 Fleischmann, Klaus 3 Holmes, Mark P. 3 Xiong, Jie 2 Etheridge, Alison Mary 2 Greenwood, Priscilla E. 2 Iscoe, Ian 2 Le Gall, Jean-François 1 Allouba, Hassan 1 Burdzy, Krzysztof 1 Chacon, Rafael V. S. 1 Cox, Ted 1 Davis, Burgess 1 Émery, Michel 1 Frei, Spencer 1 Gordina, Maria 1 Hawkes, John 1 Hong, Jieliang 1 Hoover, Douglas N. 1 Klenke, Achim 1 Lalley, Steven P. 1 Le Jan, Yves 1 Merle, Mathieu 1 Pemantle, Robin 1 Sturm, Anja K. 1 van der Hofstad, Remco W. 1 Zheng, Xinghua
all top 5

Serials

 20 The Annals of Probability 13 Probability Theory and Related Fields 9 Electronic Journal of Probability 7 Transactions of the American Mathematical Society 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Illinois Journal of Mathematics 2 Canadian Journal of Mathematics 2 Memoirs of the American Mathematical Society 2 The Annals of Applied Probability 2 Stochastic Processes and their Applications 1 Israel Journal of Mathematics 1 Stochastics 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Canadian Mathematical Bulletin 1 Proceedings of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of Theoretical Probability 1 Stochastics and Stochastics Reports 1 Astérisque
all top 5

Fields

 104 Probability theory and stochastic processes (60-XX) 5 Partial differential equations (35-XX) 4 Measure and integration (28-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH Open

92 Publications have been cited 1,333 times in 833 Documents Cited by Year
Brownian motion on the Sierpinski gasket. Zbl 0635.60090
Barlow, Martin T.; Perkins, Edwin A.
1988
Dawson-Watanabe superprocesses and measure-valued diffusions. Zbl 1020.60075
Perkins, Edwin
2002
Historical processes. Zbl 0754.60062
Dawson, Donald A.; Perkins, Edwin A.
1991
Super-Brownian motion: Path properties and hitting probabilities. Zbl 0692.60063
Dawson, D. A.; Iscoe, I.; Perkins, E. A.
1989
Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case. Zbl 1233.60039
Mytnik, Leonid; Perkins, Edwin
2011
Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains. Zbl 1007.60055
Bass, Richard F.; Perkins, Edwin A.
2003
Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053
Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A.
2002
On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients. Zbl 1108.60057
Mytnik, Leonid; Perkins, Edwin; Sturm, Anja
2006
A space-time property of a class of measure-valued branching diffusions. Zbl 0641.60060
Perkins, Edwin A.
1988
Nonstandard construction of the stochastic integral and applications to stochastic differential equations. I., II. Zbl 0533.60063
Hoover, Douglas N.; Perkins, Edwin
1983
Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
2000
Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093
Durrett, Richard; Perkins, Edwin A.
1999
Polar sets and multiple points for super-Brownian motion. Zbl 0721.60046
Perkins, Edwin
1990
The compact support property for solutions to the heat equation with noise. Zbl 0767.60054
Mueller, Carl; Perkins, Edwin A.
1992
Uniform measure results for the image of subsets under Brownian motion. Zbl 0613.60071
Perkins, Edwin A.; Taylor, S. James
1987
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
2013
Measure-valued Markov branching processes conditioned on non-extinction. Zbl 0717.60099
Evans, Steven N.; Perkins, Edwin
1990
Long-time behavior and coexistence in a mutually catalytic branching model. Zbl 0938.60042
Dawson, Donald A.; Perkins, Edwin A.
1998
Collision local times and measure-valued processes. Zbl 0765.60044
Barlow, Martin T.; Evans, Steven N.; Perkins, Edwin A.
1991
The exact Hausdorff measure of the level sets of Brownian motion. Zbl 0458.60076
Perkins, Edwin
1981
Weak invariance principles for local time. Zbl 0465.60065
Perkins, Edwin
1982
Measure-valued branching diffusions with singular interactions. Zbl 0806.60039
Evans, Steven N.; Perkins, Edwin A.
1994
On the martingale problem for interactive measure-valued branching diffusions. Zbl 0823.60071
Perkins, Edwin
1995
One-dimensional stochastic differential equations involving a singular increasing process. Zbl 0543.60065
Barlow, M. T.; Perkins, E.
1984
A global intrinsic characterization of Brownian local time. Zbl 0469.60081
Perkins, Edwin
1981
The Hausdorff measure of the closed support of super-Brownian motion. Zbl 0679.60053
Perkins, Edwin
1989
Absolute continuity results for superprocesses with some applications. Zbl 0733.60062
Evans, Steven N.; Perkins, Edwin
1991
A conditioned limit theorem for random walk and Brownian local time on square root boundaries. Zbl 0522.60030
Greenwood, Priscilla; Perkins, Edwin
1983
Nonuniqueness for a parabolic SPDE with $$\frac{3}{4}-\varepsilon$$-Hölder diffusion coefficients. Zbl 1301.60080
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
2014
On the Hausdorff dimension of the Brownian slow points. Zbl 0506.60079
Perkins, Edwin
1983
Rescaled Lotka-Volterra models converge to super-Brownian motion. Zbl 1078.60082
Cox, J. Theodore; Perkins, Edwin A.
2005
The Hausdorff measure of the support of two-dimensional super-Brownian motion. Zbl 0856.60055
Le Gall, Jean-François; Perkins, Edwin A.
1995
Regularity and irregularity of $$(1+\beta)$$-stable super-Brownian motion. Zbl 1042.60030
Mytnik, Leonid; Perkins, Edwin
2003
Measure-valued processes and renormalization of branching particle systems. Zbl 0934.60078
Dawson, Donald A.; Perkins, Edwin A.
1999
Conditional Dawson-Watanabe processes and Fleming-Viot processes. Zbl 0763.60026
Perkins, Edwin A.
1992
Local time is a semi-martingale. Zbl 0468.60070
Perkins, Edwin
1982
Nonuniqueness for nonnegative solutions of parabolic stochastic partial differential equations. Zbl 1260.60116
Burdzy, K.; Mueller, C.; Perkins, E. A.
2010
Convergence to equilibrium and linear systems duality. Zbl 0955.60098
Cox, J. Theodore; Klenke, Achim; Perkins, Edwin A.
2000
Diffusion-limited aggregation on a tree. Zbl 0866.60093
Barlow, Martin T.; Pemantle, Robin; Perkins, Edwin A.
1997
Symmetric Markov chains in $${\mathbb{Z}}^ 4:$$ How fast can they move? Zbl 0667.60070
Barlow, Martin T.; Perkins, Edwin A.
1989
Generalised arc length for Brownian motion and Levy processes. Zbl 0469.60037
Chacon, R. V.; Le Jan, Y.; Perkins, E.; Taylor, S. J.
1981
The multifractal structure of super-Brownian motion. Zbl 0905.60031
Perkins, Edwin A.; Taylor, S. James
1998
Mutually catalytic branching in the plane: Infinite measure states. Zbl 1016.60075
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2002
Measure-valued branching diffusions with spatial interactions. Zbl 0767.60044
Perkins, Edwin
1992
Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type. Zbl 1089.60037
Athreya, Siva R.; Bass, Richard F.; Gordina, Maria; Perkins, Edwin A.
2006
Brownian slow points: The critical case. Zbl 0576.60030
Davis, Burgess; Perkins, Edwin
1985
A new technique for proving uniqueness for martingale problems. Zbl 1203.60119
Bass, Richard F.; Perkins, Edwin
2009
Survival and coexistence in stochastic spatial Lotka-Volterra models. Zbl 1129.60089
Cox, J. Theodore; Perkins, Edwin A.
2007
Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces. Zbl 1131.35008
Athreya, Siva R.; Bass, Richard F.; Perkins, Edwin A.
2005
Two uniform intrinsic constructions for the local time of a class of Lévy processes. Zbl 0571.60082
Barlow, Martin T.; Perkins, Edwin A.; Taylor, S. James
1986
Degenerate stochastic differential equations arising from catalytic branching networks. Zbl 1191.60070
Bass, Richard F.; Perkins, Edwin A.
2008
Superprocesses at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1541 (1993) and 1781 (2002). Zbl 1245.60002
Dawson, Donald A.; Perkins, Edwin
2012
On the filtration of historical Brownian motion. Zbl 0816.60044
Barlow, Martin T.; Perkins, Edwin A.
1994
Collision local times, historical stochastic calculus, and competing superprocesses. Zbl 0899.60081
Evans, Steven N.; Perkins, Edwin A.
1998
A criterion for convergence to super-Brownian motion on path space. Zbl 1364.82025
van der Hofstad, Remco; Holmes, Mark; Perkins, Edwin A.
2017
Local time and pathwise uniqueness for stochastic differential equations. Zbl 0485.60057
Perkins, Edwin
1982
Mutually catalytic branching in the plane: Uniqueness. Zbl 1016.60091
Dawson, Donald A.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2003
Competing super-Brownian motions as limits of interacting particle systems. Zbl 1111.60030
Durrett, Richard; Mytnik, Leonid; Perkins, Edwin
2005
Renormalization of the two-dimensional Lotka-Volterra model. Zbl 1141.60060
Cox, J. Theodore; Perkins, Edwin A.
2008
On the boundary of the support of super-Brownian motion. Zbl 1412.60123
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
2017
Weak convergence of measure-valued processes and $$r$$-point functions. Zbl 1124.60046
Holmes, Mark; Perkins, Edwin
2007
Rescaled particle systems converging to super-Brownian motion. Zbl 0941.60095
Cox, Ted; Durrett, Richard; Perkins, Edwin A.
1999
On the uniqueness problem for catalytic branching networks and other singular diffusions. Zbl 1107.60045
Dawson, D. A.; Perkins, E. A.
2006
Explicit stochastic integral representations for historical functionals. Zbl 0852.60062
Evans, Steven N.; Perkins, Edwin A.
1995
La filtration de B+L. Zbl 0466.60073
Emery, M.; Perkins, E.
1982
The packing measure of the support of super-Brownian motion. Zbl 0848.60078
Le Gall, J.-F.; Perkins, E. A.; Taylor, S. J.
1995
Measure-valued branching diffusions and interactions. Zbl 0844.60057
Perkins, Edwin A.
1995
An application of the voter model: Super-Brownian motion invariance principle. Zbl 1035.60092
Cox, J. Theodore; Perkins, Edwin A.
2004
Limit theorems for excursions from a moving boundary. Zbl 0562.60037
Greenwood, P.; Perkins, E.
1984
Mutually catalytic branching in the plane: Finite measure states. Zbl 1017.60098
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2002
Measuring close approaches on a Brownian path. Zbl 0659.60113
Perkins, Edwin A.; Taylor, S. James
1988
Brownian motion at a slow point. Zbl 0602.60041
Barlow, Martin T.; Perkins, Edwin A.
1986
Coexistence in a two-dimensional Lotka-Volterra model. Zbl 1226.60131
Cox, J. Theodore; Merle, Mathieu; Perkins, Edwin A.
2010
Countable systems of degenerate stochastic differential equations with applications to super-{M}arkov chains. Zbl 1067.60037
Bass, Richard F.; Perkins, Edwin A.
2004
On the iterated logarithm law for local time. Zbl 0455.60064
Perkins, Edwin
1981
Levels at which every Brownian excursion is exceptional. Zbl 0555.60050
Barlow, M. T.; Perkins, E.
1984
On the construction and distribution of a local martingale with a given absolute value. Zbl 0506.60043
Perkins, Edwin
1982
The Cereteli-Davis solution to the $$H^ 1$$-embedding problem and an optimal embedding in Brownian motion. Zbl 0607.60071
Perkins, Edwin
1986
The dimension of the boundary of super-Brownian motion. Zbl 1448.60145
Mytnik, Leonid; Perkins, Edwin
2019
A phase transition for measure-valued SIR epidemic processes. Zbl 1303.60059
Lalley, Steven P.; Perkins, Edwin A.; Zheng, Xinghua
2014
Sample path properties of stochastic integrals, and stochastic differentiation. Zbl 0689.60050
Barlow, Martin T.; Perkins, Edwin A.
1989
On the topological boundary of the range of super-Brownian motion. Zbl 1471.60072
Hong, Jieliang; Mytnik, Leonid; Perkins, Edwin
2020
Extinction for two parabolic stochastic PDE’s on the lattice. Zbl 0966.60060
Mueller, C.; Perkins, E.
2000
The strong Markov property of the support of super-Brownian motion. Zbl 0814.60046
Perkins, Edwin
1994
On the martingale problem for super-Brownian motion. Zbl 1002.60079
Bass, Richard F.; Perkins, Edwin A.
2001
Super-Brownian motion and critital spatial stochastic systems. Zbl 1065.60051
Perkins, Ed
2004
On the uniqueness of a local martingale with a given absolute value. Zbl 0443.60041
Perkins, Edwin
1981
On the continuity of measure-valued processes. Zbl 0729.60030
Perkins, Edwin
1991
Strong existence, uniqueness and non-uniqueness in an equation involving local time. Zbl 0527.60075
Barlow, M. T.; Perkins, E.
1983
The behaviour and construction of local times for Lévy processes. Zbl 0599.60072
Barlow, Martin T.; Perkins, Edwin A.; Taylor, S. James
1986
Sample path properties of the support process of super-Brownian motion. Zbl 0644.60089
Dawson, D. A.; Iscoe, I.; Perkins, E. A.
1988
On pathwise uniqueness and expansion of filtrations. Zbl 0706.60058
Barlow, Martin T.; Perkins, Edwin A.
1990
On the topological boundary of the range of super-Brownian motion. Zbl 1471.60072
Hong, Jieliang; Mytnik, Leonid; Perkins, Edwin
2020
The dimension of the boundary of super-Brownian motion. Zbl 1448.60145
Mytnik, Leonid; Perkins, Edwin
2019
A criterion for convergence to super-Brownian motion on path space. Zbl 1364.82025
van der Hofstad, Remco; Holmes, Mark; Perkins, Edwin A.
2017
On the boundary of the support of super-Brownian motion. Zbl 1412.60123
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
2017
Nonuniqueness for a parabolic SPDE with $$\frac{3}{4}-\varepsilon$$-Hölder diffusion coefficients. Zbl 1301.60080
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
2014
A phase transition for measure-valued SIR epidemic processes. Zbl 1303.60059
Lalley, Steven P.; Perkins, Edwin A.; Zheng, Xinghua
2014
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
2013
Superprocesses at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1541 (1993) and 1781 (2002). Zbl 1245.60002
Dawson, Donald A.; Perkins, Edwin
2012
Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case. Zbl 1233.60039
Mytnik, Leonid; Perkins, Edwin
2011
Nonuniqueness for nonnegative solutions of parabolic stochastic partial differential equations. Zbl 1260.60116
Burdzy, K.; Mueller, C.; Perkins, E. A.
2010
Coexistence in a two-dimensional Lotka-Volterra model. Zbl 1226.60131
Cox, J. Theodore; Merle, Mathieu; Perkins, Edwin A.
2010
A new technique for proving uniqueness for martingale problems. Zbl 1203.60119
Bass, Richard F.; Perkins, Edwin
2009
Degenerate stochastic differential equations arising from catalytic branching networks. Zbl 1191.60070
Bass, Richard F.; Perkins, Edwin A.
2008
Renormalization of the two-dimensional Lotka-Volterra model. Zbl 1141.60060
Cox, J. Theodore; Perkins, Edwin A.
2008
Survival and coexistence in stochastic spatial Lotka-Volterra models. Zbl 1129.60089
Cox, J. Theodore; Perkins, Edwin A.
2007
Weak convergence of measure-valued processes and $$r$$-point functions. Zbl 1124.60046
Holmes, Mark; Perkins, Edwin
2007
On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients. Zbl 1108.60057
Mytnik, Leonid; Perkins, Edwin; Sturm, Anja
2006
Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type. Zbl 1089.60037
Athreya, Siva R.; Bass, Richard F.; Gordina, Maria; Perkins, Edwin A.
2006
On the uniqueness problem for catalytic branching networks and other singular diffusions. Zbl 1107.60045
Dawson, D. A.; Perkins, E. A.
2006
Rescaled Lotka-Volterra models converge to super-Brownian motion. Zbl 1078.60082
Cox, J. Theodore; Perkins, Edwin A.
2005
Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces. Zbl 1131.35008
Athreya, Siva R.; Bass, Richard F.; Perkins, Edwin A.
2005
Competing super-Brownian motions as limits of interacting particle systems. Zbl 1111.60030
Durrett, Richard; Mytnik, Leonid; Perkins, Edwin
2005
An application of the voter model: Super-Brownian motion invariance principle. Zbl 1035.60092
Cox, J. Theodore; Perkins, Edwin A.
2004
Countable systems of degenerate stochastic differential equations with applications to super-{M}arkov chains. Zbl 1067.60037
Bass, Richard F.; Perkins, Edwin A.
2004
Super-Brownian motion and critital spatial stochastic systems. Zbl 1065.60051
Perkins, Ed
2004
Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains. Zbl 1007.60055
Bass, Richard F.; Perkins, Edwin A.
2003
Regularity and irregularity of $$(1+\beta)$$-stable super-Brownian motion. Zbl 1042.60030
Mytnik, Leonid; Perkins, Edwin
2003
Mutually catalytic branching in the plane: Uniqueness. Zbl 1016.60091
Dawson, Donald A.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2003
Dawson-Watanabe superprocesses and measure-valued diffusions. Zbl 1020.60075
Perkins, Edwin
2002
Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053
Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A.
2002
Mutually catalytic branching in the plane: Infinite measure states. Zbl 1016.60075
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2002
Mutually catalytic branching in the plane: Finite measure states. Zbl 1017.60098
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2002
On the martingale problem for super-Brownian motion. Zbl 1002.60079
Bass, Richard F.; Perkins, Edwin A.
2001
Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
2000
Convergence to equilibrium and linear systems duality. Zbl 0955.60098
Cox, J. Theodore; Klenke, Achim; Perkins, Edwin A.
2000
Extinction for two parabolic stochastic PDE’s on the lattice. Zbl 0966.60060
Mueller, C.; Perkins, E.
2000
Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093
Durrett, Richard; Perkins, Edwin A.
1999
Measure-valued processes and renormalization of branching particle systems. Zbl 0934.60078
Dawson, Donald A.; Perkins, Edwin A.
1999
Rescaled particle systems converging to super-Brownian motion. Zbl 0941.60095
Cox, Ted; Durrett, Richard; Perkins, Edwin A.
1999
Long-time behavior and coexistence in a mutually catalytic branching model. Zbl 0938.60042
Dawson, Donald A.; Perkins, Edwin A.
1998
The multifractal structure of super-Brownian motion. Zbl 0905.60031
Perkins, Edwin A.; Taylor, S. James
1998
Collision local times, historical stochastic calculus, and competing superprocesses. Zbl 0899.60081
Evans, Steven N.; Perkins, Edwin A.
1998
Diffusion-limited aggregation on a tree. Zbl 0866.60093
Barlow, Martin T.; Pemantle, Robin; Perkins, Edwin A.
1997
On the martingale problem for interactive measure-valued branching diffusions. Zbl 0823.60071
Perkins, Edwin
1995
The Hausdorff measure of the support of two-dimensional super-Brownian motion. Zbl 0856.60055
Le Gall, Jean-François; Perkins, Edwin A.
1995
Explicit stochastic integral representations for historical functionals. Zbl 0852.60062
Evans, Steven N.; Perkins, Edwin A.
1995
The packing measure of the support of super-Brownian motion. Zbl 0848.60078
Le Gall, J.-F.; Perkins, E. A.; Taylor, S. J.
1995
Measure-valued branching diffusions and interactions. Zbl 0844.60057
Perkins, Edwin A.
1995
Measure-valued branching diffusions with singular interactions. Zbl 0806.60039
Evans, Steven N.; Perkins, Edwin A.
1994
On the filtration of historical Brownian motion. Zbl 0816.60044
Barlow, Martin T.; Perkins, Edwin A.
1994
The strong Markov property of the support of super-Brownian motion. Zbl 0814.60046
Perkins, Edwin
1994
The compact support property for solutions to the heat equation with noise. Zbl 0767.60054
Mueller, Carl; Perkins, Edwin A.
1992
Conditional Dawson-Watanabe processes and Fleming-Viot processes. Zbl 0763.60026
Perkins, Edwin A.
1992
Measure-valued branching diffusions with spatial interactions. Zbl 0767.60044
Perkins, Edwin
1992
Historical processes. Zbl 0754.60062
Dawson, Donald A.; Perkins, Edwin A.
1991
Collision local times and measure-valued processes. Zbl 0765.60044
Barlow, Martin T.; Evans, Steven N.; Perkins, Edwin A.
1991
Absolute continuity results for superprocesses with some applications. Zbl 0733.60062
Evans, Steven N.; Perkins, Edwin
1991
On the continuity of measure-valued processes. Zbl 0729.60030
Perkins, Edwin
1991
Polar sets and multiple points for super-Brownian motion. Zbl 0721.60046
Perkins, Edwin
1990
Measure-valued Markov branching processes conditioned on non-extinction. Zbl 0717.60099
Evans, Steven N.; Perkins, Edwin
1990
On pathwise uniqueness and expansion of filtrations. Zbl 0706.60058
Barlow, Martin T.; Perkins, Edwin A.
1990
Super-Brownian motion: Path properties and hitting probabilities. Zbl 0692.60063
Dawson, D. A.; Iscoe, I.; Perkins, E. A.
1989
The Hausdorff measure of the closed support of super-Brownian motion. Zbl 0679.60053
Perkins, Edwin
1989
Symmetric Markov chains in $${\mathbb{Z}}^ 4:$$ How fast can they move? Zbl 0667.60070
Barlow, Martin T.; Perkins, Edwin A.
1989
Sample path properties of stochastic integrals, and stochastic differentiation. Zbl 0689.60050
Barlow, Martin T.; Perkins, Edwin A.
1989
Brownian motion on the Sierpinski gasket. Zbl 0635.60090
Barlow, Martin T.; Perkins, Edwin A.
1988
A space-time property of a class of measure-valued branching diffusions. Zbl 0641.60060
Perkins, Edwin A.
1988
Measuring close approaches on a Brownian path. Zbl 0659.60113
Perkins, Edwin A.; Taylor, S. James
1988
Sample path properties of the support process of super-Brownian motion. Zbl 0644.60089
Dawson, D. A.; Iscoe, I.; Perkins, E. A.
1988
Uniform measure results for the image of subsets under Brownian motion. Zbl 0613.60071
Perkins, Edwin A.; Taylor, S. James
1987
Two uniform intrinsic constructions for the local time of a class of Lévy processes. Zbl 0571.60082
Barlow, Martin T.; Perkins, Edwin A.; Taylor, S. James
1986
Brownian motion at a slow point. Zbl 0602.60041
Barlow, Martin T.; Perkins, Edwin A.
1986
The Cereteli-Davis solution to the $$H^ 1$$-embedding problem and an optimal embedding in Brownian motion. Zbl 0607.60071
Perkins, Edwin
1986
The behaviour and construction of local times for Lévy processes. Zbl 0599.60072
Barlow, Martin T.; Perkins, Edwin A.; Taylor, S. James
1986
Brownian slow points: The critical case. Zbl 0576.60030
Davis, Burgess; Perkins, Edwin
1985
One-dimensional stochastic differential equations involving a singular increasing process. Zbl 0543.60065
Barlow, M. T.; Perkins, E.
1984
Limit theorems for excursions from a moving boundary. Zbl 0562.60037
Greenwood, P.; Perkins, E.
1984
Levels at which every Brownian excursion is exceptional. Zbl 0555.60050
Barlow, M. T.; Perkins, E.
1984
Nonstandard construction of the stochastic integral and applications to stochastic differential equations. I., II. Zbl 0533.60063
Hoover, Douglas N.; Perkins, Edwin
1983
A conditioned limit theorem for random walk and Brownian local time on square root boundaries. Zbl 0522.60030
Greenwood, Priscilla; Perkins, Edwin
1983
On the Hausdorff dimension of the Brownian slow points. Zbl 0506.60079
Perkins, Edwin
1983
Strong existence, uniqueness and non-uniqueness in an equation involving local time. Zbl 0527.60075
Barlow, M. T.; Perkins, E.
1983
Weak invariance principles for local time. Zbl 0465.60065
Perkins, Edwin
1982
Local time is a semi-martingale. Zbl 0468.60070
Perkins, Edwin
1982
Local time and pathwise uniqueness for stochastic differential equations. Zbl 0485.60057
Perkins, Edwin
1982
La filtration de B+L. Zbl 0466.60073
Emery, M.; Perkins, E.
1982
On the construction and distribution of a local martingale with a given absolute value. Zbl 0506.60043
Perkins, Edwin
1982
The exact Hausdorff measure of the level sets of Brownian motion. Zbl 0458.60076
Perkins, Edwin
1981
A global intrinsic characterization of Brownian local time. Zbl 0469.60081
Perkins, Edwin
1981
Generalised arc length for Brownian motion and Levy processes. Zbl 0469.60037
Chacon, R. V.; Le Jan, Y.; Perkins, E.; Taylor, S. J.
1981
On the iterated logarithm law for local time. Zbl 0455.60064
Perkins, Edwin
1981
On the uniqueness of a local martingale with a given absolute value. Zbl 0443.60041
Perkins, Edwin
1981
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Cited by 795 Authors

 39 Perkins, Edwin A. 26 Mytnik, Leonid 19 Fleischmann, Klaus 16 Le Gall, Jean-François 15 Dawson, Donald Andrew 15 Strichartz, Robert S. 14 Hu, Jiaxin 13 Grigor’yan, Alexander Asaturovich 13 Kumagai, Takashi 13 Ren, Yanxia 13 Xiong, Jie 12 Cox, J. Theodore 10 Durrett, Richard Timothy 10 Klenke, Achim 10 Müller, Carl E. 10 Révész, Pál 9 Bass, Richard F. 9 Burdzy, Krzysztof 9 Xiao, Yimin 8 Barlow, Martin T. 8 Evans, Steven Neil 8 Khoshnevisan, Davar 8 Pietruska-Pałuba, Katarzyna 8 Song, Renming 8 Tribe, Roger P. 7 Chen, Zhen-Qing 7 Csörgő, Miklós 7 Dynkin, Evgeniĭ Borisovich 7 Etheridge, Alison Mary 7 Hambly, Ben M. 7 Peres, Yuval 7 Taylor, Samuel James 7 Teplyaev, Alexander 6 Chen, Yu-Ting 6 Grabner, Peter J. 6 Greven, Andreas 6 Herzberg, Frederik S. 6 Kajino, Naotaka 6 Kigami, Jun 6 Méléard, Sylvie 6 Osswald, Horst 6 Ouknine, Youssef 6 Pop, Camelia Alexandra 6 van der Hofstad, Remco W. 6 Xiang, Kai-Nan 6 Zheng, Xinghua 5 Adler, Robert Joseph 5 Albeverio, Sergio A. 5 Athreya, Siva R. 5 Cao, Shiping 5 Csáki, Endre 5 Dalang, Robert C. 5 den Hollander, Frank 5 Gorostiza, Luis G. 5 Hattori, Kumiko 5 Hattori, Tetsuya 5 Hong, Jieliang 5 Hu, Xiaoyu 5 Jones, Owen Dafydd 5 Kallenberg, Olav 5 Kliem, Sandra M. 5 Lalley, Steven P. 5 Mörters, Peter 5 Neuman, Eyal 5 Overbeck, Ludger 5 Rogers, Luke G. 5 Wachtel, Vitali I. 5 Yang, Xu 4 Aldous, David John 4 Blath, Jochen 4 Cerrai, Sandra 4 Földes, Antónia 4 Foondun, Mohammud 4 Han, Beom-Seok 4 He, Hui 4 Keisler, Howard Jerome 4 Kouritzin, Michael A. 4 Krone, Stephen M. 4 Kusuoka, Shigeo 4 Lanchier, Nicolas 4 Lau, Kasing 4 Lin, Zhengyan 4 Liu, Rongli 4 Menozzi, Stéphane 4 Rosen, Jay S. 4 Slade, Gordon 4 Sun, Yeneng 4 Swart, Jan M. 4 Winter, Anita 4 Yang, Xiaochuan 4 Zeitouni, Ofer 4 Zhou, Xiaowen 3 Abraham, Romain 3 Alonso-Ruiz, Patricia 3 Baudoin, Fabrice 3 Berestycki, Nathanaël 3 Bojdecki, Tomasz 3 Borodin, Andreĭ Nikolaevich 3 Bouhadou, Siham 3 Capitanelli, Raffaela ...and 695 more Authors
all top 5

Cited in 164 Serials

 104 Stochastic Processes and their Applications 92 Probability Theory and Related Fields 90 The Annals of Probability 37 Transactions of the American Mathematical Society 35 The Annals of Applied Probability 27 Journal of Functional Analysis 26 Statistics & Probability Letters 26 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 25 Journal of Theoretical Probability 16 Electronic Journal of Probability 9 Communications in Mathematical Physics 9 Journal of Mathematical Analysis and Applications 8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 8 Bernoulli 7 Advances in Mathematics 7 Acta Applicandae Mathematicae 7 Bulletin des Sciences Mathématiques 7 Acta Mathematica Sinica. English Series 6 Journal of Differential Equations 6 Stochastic Analysis and Applications 6 Science in China. Series A 6 Potential Analysis 6 Electronic Communications in Probability 6 ALEA. Latin American Journal of Probability and Mathematical Statistics 5 Journal of Statistical Physics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Illinois Journal of Mathematics 5 Fractals 5 Discrete and Continuous Dynamical Systems 5 Stochastics 5 Science China. Mathematics 4 Journal d’Analyse Mathématique 4 Journal of Mathematical Biology 4 Annales de l’Institut Fourier 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Forum Mathematicum 4 Stochastics and Stochastics Reports 4 The Journal of Fourier Analysis and Applications 4 Communications on Pure and Applied Analysis 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Israel Journal of Mathematics 3 Inventiones Mathematicae 3 Journal of Applied Probability 3 Journal of the Mathematical Society of Japan 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 Advances in Applied Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Evolution Equations 3 Stochastics and Dynamics 3 Annals of Finance 2 Advances in Applied Probability 2 Applicable Analysis 2 Lithuanian Mathematical Journal 2 Physica A 2 Stochastics 2 Studia Mathematica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Osaka Journal of Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Probability and Mathematical Statistics 2 Chinese Annals of Mathematics. Series B 2 Japan Journal of Applied Mathematics 2 Revista Matemática Iberoamericana 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Acta Mathematica Sinica. New Series 2 Calculus of Variations and Partial Differential Equations 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Discrete and Continuous Dynamical Systems. Series B 2 Stochastic Models 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Frontiers of Mathematics in China 2 Dynamic Games and Applications 2 Journal of Theoretical Biology 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Applied Mathematics and Optimization 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Graph Theory 1 Journal of Mathematical Economics ...and 64 more Serials
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Cited in 43 Fields

 719 Probability theory and stochastic processes (60-XX) 141 Partial differential equations (35-XX) 134 Measure and integration (28-XX) 61 Potential theory (31-XX) 51 Biology and other natural sciences (92-XX) 49 Statistical mechanics, structure of matter (82-XX) 36 Operator theory (47-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Combinatorics (05-XX) 21 Mathematical logic and foundations (03-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Dynamical systems and ergodic theory (37-XX) 18 Functional analysis (46-XX) 16 Real functions (26-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Functions of a complex variable (30-XX) 9 Statistics (62-XX) 8 Numerical analysis (65-XX) 8 Quantum theory (81-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Computer science (68-XX) 5 Group theory and generalizations (20-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Abstract harmonic analysis (43-XX) 4 Operations research, mathematical programming (90-XX) 3 Number theory (11-XX) 3 Integral equations (45-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX)

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