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Short-Time Geometry of Random Heat Kernels
  • Language: en
  • Pages: 145

Short-Time Geometry of Random Heat Kernels

This volume studies the behaviour of a random heat kernel associated with a stochastic partial differential equation, and gives short-time expansion of this heat kernel. The author finds that the dominant exponential term is classical and depends only on the Riemannian distance function. The second exponential term is a work term and also has classical meaning. There is also a third non-negligible exponential term which blows up. The author finds an expression for this third exponential term which involves a random translation of the index form and the equations of Jacobi fields. In the process, he develops a method to approximate the heat kernel to any arbitrary degree of precision.

Report of the Adjutant General of the State of Illinois ...
  • Language: en
  • Pages: 702

Report of the Adjutant General of the State of Illinois ...

  • Type: Book
  • -
  • Published: 1886
  • -
  • Publisher: Unknown

None

History of Alexander, Union and Pulaski Counties, Illinois
  • Language: en
  • Pages: 512

History of Alexander, Union and Pulaski Counties, Illinois

  • Type: Book
  • -
  • Published: 1883
  • -
  • Publisher: Unknown

None

Stochastic Processes and Functional Analysis
  • Language: en
  • Pages: 526

Stochastic Processes and Functional Analysis

  • Type: Book
  • -
  • Published: 2004-03-23
  • -
  • Publisher: CRC Press

This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochas

Report of the Adjutant General
  • Language: en
  • Pages: 712

Report of the Adjutant General

  • Type: Book
  • -
  • Published: 1867
  • -
  • Publisher: Unknown

None

Report of the Adjutant General of the State of Illinois
  • Language: en
  • Pages: 710

Report of the Adjutant General of the State of Illinois

  • Type: Book
  • -
  • Published: 1867
  • -
  • Publisher: Unknown

None

Rosters of enlisted men ... from the 77th to the 117th
  • Language: en
  • Pages: 714

Rosters of enlisted men ... from the 77th to the 117th

  • Type: Book
  • -
  • Published: 1867
  • -
  • Publisher: Unknown

None

IUTAM Symposium on Nonlinear Stochastic Dynamics
  • Language: en
  • Pages: 470

IUTAM Symposium on Nonlinear Stochastic Dynamics

Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics. The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analysis of non-linear stochastic systems from engineering, applied mathematics and physics point of view. Subject areas include: Multiscale phenomena, stability and bifurcations, control and estimation, computational methods and modelling. For the Engineering and Physics communities, this book will provide first-hand information on recent mathematical developments. The applied mathematics community will benefit from the modelling and information on various possible applications.

Control and Dynamic Systems V56: Digital and Numeric Techniques and Their Application in Control Systems
  • Language: en
  • Pages: 593

Control and Dynamic Systems V56: Digital and Numeric Techniques and Their Application in Control Systems

Control and Dynamic Systems: Advances in Theory and Applications, Volume 56: Digital and Numeric Techniques and their Applications in Control Systems, Part 2 of 2 covers the significant developments in digital and numerical techniques for the analysis and design of modern complex control systems. This volume is composed of 12 chapters and starts with a description of the design techniques of linear constrained discrete-time control systems. The subsequent chapters describe the techniques dealing with robust real-time system identification, the adaptive control algorithms, and the utilization of methods from generalized interpolation and operator theory to deal with a wide range of problems i...

Cutting Brownian Paths
  • Language: en
  • Pages: 113

Cutting Brownian Paths

A long open problem in probability theory has been the following: Can the graph of planar Brownian motion be split by a straight line? In this volume, the authors provide a solution, discuss related works, and present a number of open problems.