Softcover ISBN:  9780821833834 
Product Code:  CONM/338 
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eBook ISBN:  9780821879283 
Product Code:  CONM/338.E 
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Softcover ISBN:  9780821833834 
eBook: ISBN:  9780821879283 
Product Code:  CONM/338.B 
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Softcover ISBN:  9780821833834 
Product Code:  CONM/338 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821879283 
Product Code:  CONM/338.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821833834 
eBook ISBN:  9780821879283 
Product Code:  CONM/338.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 338; 2003; 424 ppMSC: Primary 58; 60; 47; 53; 35
This volume contains the expanded lecture notes of courses taught at the Emile Borel Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent research in their fields. The unifying theme is the study of heat kernels in various situations using related geometric and analytic tools. Topics include analysis of complexcoefficient elliptic operators, diffusions on fractals and on infinitedimensional groups, heat kernel and isoperimetry on Riemannian manifolds, heat kernels and infinite dimensional analysis, diffusions and Sobolevtype spaces on metric spaces, quasiregular mappings and \(p\)Laplace operators, heat kernel and spherical inversion on \(SL_2(C)\), random walks and spectral geometry on crystal lattices, isoperimetric and isocapacitary inequalities, and generating function techniques for random walks on graphs.
This volume is suitable for graduate students and research mathematicians interested in random processes and analysis on manifolds.
ReadershipGraduate students and research mathematicians interested in random processes and analysis on manifolds.

Table of Contents

Articles

Pascal Auscher — Some questions on elliptic operators [ MR 2039949 ]

Martin T. Barlow — Heat kernels and sets with fractal structure [ MR 2039950 ]

Alexander Bendikov and Laurent SaloffCoste — Brownian motions on compact groups of infinite dimension [ MR 2039951 ]

Thierry Coulhon — Heat kernel and isoperimetry on noncompact Riemannian manifolds [ MR 2039952 ]

Bruce K. Driver — Heat kernels measures and infinite dimensional analysis [ MR 2039953 ]

Alexander Grigor’yan — Heat kernels and function theory on metric measure spaces [ MR 2039954 ]

Piotr Hajłasz — Sobolev spaces on metricmeasure spaces [ MR 2039955 ]

Ilkka Holopainen — Quasiregular mappings and the $p$Laplace operator [ MR 2039956 ]

Jay Jorgenson and Serge Lang — Spherical inversion on ${\rm SL}_2(\mathbf {C})$ [ MR 2039957 ]

Motoko Kotani and Toshikazu Sunada — Spectral geometry of crystal lattices [ MR 2039958 ]

Vladimir Maz′ya — Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces [ MR 2039959 ]

Stephen Semmes — Some topics related to analysis on metric spaces

KarlTheodor Sturm — Probability measures on metric spaces of nonpositive curvature [ MR 2039961 ]

Wolfgang Woess — Generating function techniques for random walks on graphs [ MR 2039962 ]


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This volume contains the expanded lecture notes of courses taught at the Emile Borel Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent research in their fields. The unifying theme is the study of heat kernels in various situations using related geometric and analytic tools. Topics include analysis of complexcoefficient elliptic operators, diffusions on fractals and on infinitedimensional groups, heat kernel and isoperimetry on Riemannian manifolds, heat kernels and infinite dimensional analysis, diffusions and Sobolevtype spaces on metric spaces, quasiregular mappings and \(p\)Laplace operators, heat kernel and spherical inversion on \(SL_2(C)\), random walks and spectral geometry on crystal lattices, isoperimetric and isocapacitary inequalities, and generating function techniques for random walks on graphs.
This volume is suitable for graduate students and research mathematicians interested in random processes and analysis on manifolds.
Graduate students and research mathematicians interested in random processes and analysis on manifolds.

Articles

Pascal Auscher — Some questions on elliptic operators [ MR 2039949 ]

Martin T. Barlow — Heat kernels and sets with fractal structure [ MR 2039950 ]

Alexander Bendikov and Laurent SaloffCoste — Brownian motions on compact groups of infinite dimension [ MR 2039951 ]

Thierry Coulhon — Heat kernel and isoperimetry on noncompact Riemannian manifolds [ MR 2039952 ]

Bruce K. Driver — Heat kernels measures and infinite dimensional analysis [ MR 2039953 ]

Alexander Grigor’yan — Heat kernels and function theory on metric measure spaces [ MR 2039954 ]

Piotr Hajłasz — Sobolev spaces on metricmeasure spaces [ MR 2039955 ]

Ilkka Holopainen — Quasiregular mappings and the $p$Laplace operator [ MR 2039956 ]

Jay Jorgenson and Serge Lang — Spherical inversion on ${\rm SL}_2(\mathbf {C})$ [ MR 2039957 ]

Motoko Kotani and Toshikazu Sunada — Spectral geometry of crystal lattices [ MR 2039958 ]

Vladimir Maz′ya — Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces [ MR 2039959 ]

Stephen Semmes — Some topics related to analysis on metric spaces

KarlTheodor Sturm — Probability measures on metric spaces of nonpositive curvature [ MR 2039961 ]

Wolfgang Woess — Generating function techniques for random walks on graphs [ MR 2039962 ]