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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Probabilities on the Heisenberg Group: Limit Theorems and Brownian Motion

Probabilities on the Heisenberg Group: Limit Theorems and Brownian Motion

Neuenschwander, Daniel

Paperback

Series: Lecture Notes in Mathematics, Book 1630

General MathematicsPhysicsProbability & Statistics

ISBN10: 3540614532
ISBN13: 9783540614531
Publisher: Springer Nature
Published: Aug 19 1996
Pages: 148
Weight: 0.50
Height: 0.33 Width: 6.14 Depth: 9.21
Language: English
The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers.

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