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101 0 $aeng
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181   $ctxt
182   $cc
183   $acr
200 10$aShort-time geometry of random heat kernels /$fRichard B. Sowers
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1998.
215   $a1 online resource (145 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 629
300   $a"March 1998, volume 132, number 629 (end of volume)."
311   $a0-8218-0649-1 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Chapter 1. Introduction""; ""A?1.1. The Short-Time Problem""; ""A?1.2. The Main Results and Some Examples""; ""A?1.3. Notation and Assumptions""; ""Chapter 2. Guessing the Dominant Asymptotics""; ""A?2.1. A Simpler Problem""; ""A?2.2. A Minimization Problem""; ""A?2.3. A Rate Function and Approximation for the Random Heat Kernel""; ""A?2.4. Representation Results for the Secondary and Tertiary Terms""; ""Chapter 3. Initial Condition and Evolution of the Approximate Kernel""; ""A?3.1. The Short-Time Behavior of the Approximation""; ""A?3.2. The Evolution of the Approximation""
327   $a""Chapter 4. The Minakshisundaram-Pleijel Coefficients""""A?4.1. An Ansatz""; ""A?4.2. Some Results on Multiple Wiener Integrals""; ""A?4.3. The Minakshisundaram-Pleijel Expansion""; ""Chapter 5. Error Estimates, Proof of the Main Theorem, and Extensions""; ""A?5.1. Setup of Equations""; ""A?5.2. Estimates on the Continuity of SPDE's""; ""A?5.3. The Near-Field Error""; ""A?5.4. The Far-Field Error""; ""A?5.5. Proof of the Main Theorem""; ""A?5.6. Extensions""; ""Appendices""; ""Appendix A: The Jacobi Flow""; ""Appendix B: Some Results on Multiple Wiener Integrals""
327   $a""Appendix C: Garsia-Rodemich-Rumsey Estimates""""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 629.
606   $aHeat equation
606   $aStochastic partial differential equations
606   $aFilters (Mathematics)
615  0$aHeat equation.
615  0$aStochastic partial differential equations.
615  0$aFilters (Mathematics)
676   $a510 s
676   $a519.2
700   $aSowers$b R. B$g(Richard Bucher),$f1965-$01706315
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910813652103321
996   $aShort-time geometry of random heat kernels$94093644
997   $aUNINA