Perkins, Edwin Arend 1953
Overview
Works:  22 works in 83 publications in 2 languages and 1,093 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Creator 
Classifications:  QA3, 519.2 
Publication Timeline
.
Most widely held works about
Edwin Arend Perkins
Most widely held works by
Edwin Arend Perkins
Lectures on probability theory and statistics : Ecole d'Ete de Probabilites de SaintFlour XXIX  1999
by
Erwin Bolthausen(
Book
)
26 editions published between 2002 and 2004 in English and held by 409 WorldCat member libraries worldwide
This new volume of the longestablished St. Flour Summer School of Probability includes the notes of the three major lecture courses by Erwin Bolthausen on "Large Deviations and Iterating Random Walks", by Edwin Perkins on "DawsonWatanabe Superprocesses and MeasureValued Diffusions", and by Aad van der Vaart on "Semiparametric Statistics."
26 editions published between 2002 and 2004 in English and held by 409 WorldCat member libraries worldwide
This new volume of the longestablished St. Flour Summer School of Probability includes the notes of the three major lecture courses by Erwin Bolthausen on "Large Deviations and Iterating Random Walks", by Edwin Perkins on "DawsonWatanabe Superprocesses and MeasureValued Diffusions", and by Aad van der Vaart on "Semiparametric Statistics."
Historical processes
by
Donald A Dawson(
Book
)
12 editions published between 1990 and 1991 in English and Undetermined and held by 260 WorldCat member libraries worldwide
12 editions published between 1990 and 1991 in English and Undetermined and held by 260 WorldCat member libraries worldwide
On the martingale problem for interactive measurevalued branching diffusions
by
Edwin Arend Perkins(
Book
)
12 editions published between 1993 and 1995 in English and held by 243 WorldCat member libraries worldwide
12 editions published between 1993 and 1995 in English and held by 243 WorldCat member libraries worldwide
Voter model perturbations and reaction diffusion equations
by
J. T Cox(
Book
)
9 editions published in 2013 in English and French and held by 144 WorldCat member libraries worldwide
"We consider particle systems that are perturbations of the voter model and show that when space and time are rescaled the system converges to a solution of a reaction diffusion equation in dimensions d[greater than or equal to]3. Combining this result with properties of the P.D.E., some methods arising from a low density superBrownian limit theorem, and a block construction, we give general, and often asymptotically sharp, conditions for the existence of nontrivial stationary distributions, and for extinction of one type. As applications, we describe the phase diagrams of four systems when the parameters are close to the voter model: (i) a stochastic spatial LotkaVolterra model of Neuhauser and Pacala, (ii) a model of the evolution of cooperation of Ohtsuki, Hauert, Lieberman, and Nowak, (iii) a continuous time version of the nonlinear voter model of Molofsky, Durrett, Dushoff, Griffeath, and Levin, (iv) a voter model in which opinion changes are followed by an exponentially distributed latent period during which voters will not change again. The first application confirms a conjecture of Cox and Perkins ("Survival and coexistence in stochastic spatial LotkaVolterra models", 2007) and the second confirms a conjecture of Ohtsuki et al. ("A simple rule for the evolution of cooperation on graphs and social networks", 2006) in the context of certain infinite graphs. An important feature of our general results is that they do not require the process to be attractive."Page [4] of cover
9 editions published in 2013 in English and French and held by 144 WorldCat member libraries worldwide
"We consider particle systems that are perturbations of the voter model and show that when space and time are rescaled the system converges to a solution of a reaction diffusion equation in dimensions d[greater than or equal to]3. Combining this result with properties of the P.D.E., some methods arising from a low density superBrownian limit theorem, and a block construction, we give general, and often asymptotically sharp, conditions for the existence of nontrivial stationary distributions, and for extinction of one type. As applications, we describe the phase diagrams of four systems when the parameters are close to the voter model: (i) a stochastic spatial LotkaVolterra model of Neuhauser and Pacala, (ii) a model of the evolution of cooperation of Ohtsuki, Hauert, Lieberman, and Nowak, (iii) a continuous time version of the nonlinear voter model of Molofsky, Durrett, Dushoff, Griffeath, and Levin, (iv) a voter model in which opinion changes are followed by an exponentially distributed latent period during which voters will not change again. The first application confirms a conjecture of Cox and Perkins ("Survival and coexistence in stochastic spatial LotkaVolterra models", 2007) and the second confirms a conjecture of Ohtsuki et al. ("A simple rule for the evolution of cooperation on graphs and social networks", 2006) in the context of certain infinite graphs. An important feature of our general results is that they do not require the process to be attractive."Page [4] of cover
Superprocesses at SaintFlour
by
Donald A Dawson(
Book
)
4 editions published in 2012 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 2012 in English and held by 7 WorldCat member libraries worldwide
A nonstandard approach to Brownian local time
by
Edwin Arend Perkins(
)
3 editions published in 1979 in English and Undetermined and held by 6 WorldCat member libraries worldwide
3 editions published in 1979 in English and Undetermined and held by 6 WorldCat member libraries worldwide
A spacetime property of a class of measurevalued branching diffusions
by
Edwin Arend Perkins(
Book
)
2 editions published in 1986 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 4 WorldCat member libraries worldwide
Superbrownian motion : path properties and hitting probabilities
by
Donald A Dawson(
Book
)
1 edition published in 1988 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 4 WorldCat member libraries worldwide
Lectures on probability theory and statistics : Ecole d'Ete de probalites de SaintFlour XXIX 1999
(
Book
)
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
The strong Markov property of the support of superBrownian motion
by
Edwin Arend Perkins(
Book
)
1 edition published in 1993 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 3 WorldCat member libraries worldwide
Lectures on Probability Theory and Statistics
by Ecole d'ť ̌de probabilitš de SaintFlour(
)
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
Weeds of fence rows and adjacent fields in Carroll County, Ohio
by
Edwin Arend Perkins(
)
1 edition published in 1974 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 2 WorldCat member libraries worldwide
Lectures on probability theory and statistics : Ecole d'Eté de Probabilités de SaintFlour
by
Erwin Bolthausen(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
The higher invertebrates
(
Visual
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Lectures on probability theory and statistics : Ecole d'ť ̌de probabilitš de SaintFlour XXIX, 1999
by Ecole d'ť ̌de probabilitš de SaintFlour(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Lectures on Probability Theory and Statistics Ecole dEt? de Probabilit?s de SaintFlour XXIX  1999
(
)
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
Introduction to primitive orders
(
Visual
)
1 edition published in 1976 in English and held by 0 WorldCat member libraries worldwide
Describes the features of mammals as a class and traces their evolutionary development from the reptiles. Examines the characteristics of the monotremes and marsupials
1 edition published in 1976 in English and held by 0 WorldCat member libraries worldwide
Describes the features of mammals as a class and traces their evolutionary development from the reptiles. Examines the characteristics of the monotremes and marsupials
Introduction to placentals
(
Visual
)
1 edition published in 1976 in English and held by 0 WorldCat member libraries worldwide
Describes the general characteristics of placentals. Surveys the small orders, especially : insectivores, edentates, lagomorphs, and rodents
1 edition published in 1976 in English and held by 0 WorldCat member libraries worldwide
Describes the general characteristics of placentals. Surveys the small orders, especially : insectivores, edentates, lagomorphs, and rodents
Carnivores, cetaceans, and pinnipeds
(
Visual
)
1 edition published in 1976 in English and held by 0 WorldCat member libraries worldwide
Describes the features of carnivores, cetaceans, and pinnipeds. Examines the development and diversity of carnivores
1 edition published in 1976 in English and held by 0 WorldCat member libraries worldwide
Describes the features of carnivores, cetaceans, and pinnipeds. Examines the development and diversity of carnivores
Ungulates and subungulates
(
Visual
)
1 edition published in 1976 in English and held by 0 WorldCat member libraries worldwide
Describes the features of the ungulates and subungulates, especially their evolution
1 edition published in 1976 in English and held by 0 WorldCat member libraries worldwide
Describes the features of the ungulates and subungulates, especially their evolution
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