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Probability on Algebraic Structures
 
Edited by: Gregory Budzban Southern Illinois University, Carbondale, IL
Philip Feinsilver Southern Illinois University, Carbondale, IL
Arunava Mukherjea University of South Florida, Tampa, FL
Probability on Algebraic Structures
Softcover ISBN:  978-0-8218-2027-8
Product Code:  CONM/261
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7851-4
Product Code:  CONM/261.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2027-8
eBook: ISBN:  978-0-8218-7851-4
Product Code:  CONM/261.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Probability on Algebraic Structures
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Probability on Algebraic Structures
Edited by: Gregory Budzban Southern Illinois University, Carbondale, IL
Philip Feinsilver Southern Illinois University, Carbondale, IL
Arunava Mukherjea University of South Florida, Tampa, FL
Softcover ISBN:  978-0-8218-2027-8
Product Code:  CONM/261
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7851-4
Product Code:  CONM/261.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2027-8
eBook ISBN:  978-0-8218-7851-4
Product Code:  CONM/261.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2612000; 238 pp
    MSC: Primary 60; Secondary 43; 81;

    This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area.

    The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.

    Readership

    Graduate students and research mathematicians interested in probability, topology, functional analysis, and group theory.

  • Table of Contents
     
     
    • I. Lie Groups, Topological Groups [ MR 1781682 ]
    • S. G. Dani and Riddhi Shah — Contractible measures and Levy’s measures on Lie groups [ MR 1787869 ]
    • Philip Feinsilver and René Schott — Lie response to signals with noise [ MR 1787147 ]
    • Wojciech Jaworski — On shifted convolution powers and concentration functions in locally compact groups [ MR 1787148 ]
    • M. McCrudden and S. Walker — Embedding infinitely divisible probabilities on subsemigroups of Lie groups [ MR 1788110 ]
    • Daniel Neuenschwander — $s$-stable semigroups on simply connected step 2-nilpotent Lie groups [ MR 1788111 ]
    • II. Hypergroups [ MR 1781682 ]
    • Herbert Heyer — The covariance distribution of a generalized random field over a commutative hypergroup [ MR 1788112 ]
    • Christian Rentzsch and Michael Voit — Lévy processes on commutative hypergroups [ MR 1788113 ]
    • III. Symmetric Cones, Wishart Distributions [ MR 1781682 ]
    • Gérard Letac — Symmetric cones as Gelfand pairs: probabilistic applications [ MR 1788114 ]
    • Gérard Letac and Hélène Massam — Representations of the Wishart distributions [ MR 1788115 ]
    • IV. Quantum Groups, Quantum Probability [ MR 1781682 ]
    • Luigi Accardi — Quantum probability: an historical survey [ MR 1788116 ]
    • Uwe Franz — Lévy processes on quantum groups [ MR 1788117 ]
    • V. K. Dobrev, H.-D. Doebner, U. Franz and R. Schott — Lévy processes on $U_q(\mathfrak {g})$ as infinitely divisible representations [ MR 1788118 ]
    • V. Semigroups, Matrics, Applications [ MR 1781682 ]
    • Greg Budzban and Arunava Mukherjea — A semigroup approach to the road coloring problem [ MR 1788119 ]
    • Göran Högnäs — On some one-dimensional stochastic population models [ MR 1788120 ]
    • Zbigniew J. Jurek — Three algebraic problems in probability theory [ MR 1788121 ]
    • Arunava Mukherjea — Products of i.i.d. $d\times d$ real matrices: convergence in direction [ MR 1788122 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2612000; 238 pp
MSC: Primary 60; Secondary 43; 81;

This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area.

The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.

Readership

Graduate students and research mathematicians interested in probability, topology, functional analysis, and group theory.

  • I. Lie Groups, Topological Groups [ MR 1781682 ]
  • S. G. Dani and Riddhi Shah — Contractible measures and Levy’s measures on Lie groups [ MR 1787869 ]
  • Philip Feinsilver and René Schott — Lie response to signals with noise [ MR 1787147 ]
  • Wojciech Jaworski — On shifted convolution powers and concentration functions in locally compact groups [ MR 1787148 ]
  • M. McCrudden and S. Walker — Embedding infinitely divisible probabilities on subsemigroups of Lie groups [ MR 1788110 ]
  • Daniel Neuenschwander — $s$-stable semigroups on simply connected step 2-nilpotent Lie groups [ MR 1788111 ]
  • II. Hypergroups [ MR 1781682 ]
  • Herbert Heyer — The covariance distribution of a generalized random field over a commutative hypergroup [ MR 1788112 ]
  • Christian Rentzsch and Michael Voit — Lévy processes on commutative hypergroups [ MR 1788113 ]
  • III. Symmetric Cones, Wishart Distributions [ MR 1781682 ]
  • Gérard Letac — Symmetric cones as Gelfand pairs: probabilistic applications [ MR 1788114 ]
  • Gérard Letac and Hélène Massam — Representations of the Wishart distributions [ MR 1788115 ]
  • IV. Quantum Groups, Quantum Probability [ MR 1781682 ]
  • Luigi Accardi — Quantum probability: an historical survey [ MR 1788116 ]
  • Uwe Franz — Lévy processes on quantum groups [ MR 1788117 ]
  • V. K. Dobrev, H.-D. Doebner, U. Franz and R. Schott — Lévy processes on $U_q(\mathfrak {g})$ as infinitely divisible representations [ MR 1788118 ]
  • V. Semigroups, Matrics, Applications [ MR 1781682 ]
  • Greg Budzban and Arunava Mukherjea — A semigroup approach to the road coloring problem [ MR 1788119 ]
  • Göran Högnäs — On some one-dimensional stochastic population models [ MR 1788120 ]
  • Zbigniew J. Jurek — Three algebraic problems in probability theory [ MR 1788121 ]
  • Arunava Mukherjea — Products of i.i.d. $d\times d$ real matrices: convergence in direction [ MR 1788122 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.