انحرافات بزرگ برای فرآیندهای تصادفی (بررسی‌ها و مونوگراف‌های ریاضی)

the Book Is Devoted To The Results On Large Deviations For A Class Of Stochastic Processes. Following An Introduction And Overview, The Material Is Presented In Three Parts. Part 1 Gives Necessary And Sufficient Conditions For Exponential Tightness That Are Analogous To Conditions For Tightness In The Theory Of Weak Convergence. Part 2 Focuses On Markov Processes In Metric Spaces. For A Sequence Of Such Processes, Convergence Of Fleming's Logarithmically Transformed Nonlinear Semigroups Is Shown To Imply The Large Deviation Principle In A Manner Analogous To The Use Of Convergence Of Linear Semigroups In Weak Convergence. Viscosity Solution Methods Provide Applicable Conditions For The Necessary Convergence. Part 3 Discusses Methods For Verifying The Comparison Principle For Viscosity Solutions And Applies The General Theory To Obtain A Variety Of New And Known Results On Large Deviations For Markov Processes. In Examples Concerning Infinite Dimensional State Spaces, New Comparison Principles Are Derived For A Class Of Hamilton-jacobi Equations In Hilbert Spaces And In Spaces Of Probability Measures. Maintain a take-charge attitude and live your life to the fullest with Parkinson's Whether the diagnosis is yours or that of a loved one, Parkinson's Disease for Dummies contains everything you need to know about living with this disease. This book is an easy-to-understand, straightforward, and sometimes humorous guide that offers proven techniques for coping with daily issues, finding the right doctors, and providing care as the disease progresses. This user-friendly guide helps you navigate you through the important steps toward taking charge of your condition. You aren't alone—inside, you'll discover proven coping skills and first-hand advice, along with practical tools that will help you navigate the treatment journey. In classic, compassionate Dummies style, Parkinson's Disease For Dummies will answer all your questions, and guide you through the process of finding your own answers as well. Keep your mind sharp, stay in shape, and keep your stress under control Life a full and satisfying life after a Parkinson's diagnosis Get the most current information on Parkinson's medications and treatments Learn the best ways to support loved ones living with Parkinson's With updates on the latest in alternative treatments, dementia, and young onset PD, Parkinson's Disease for Dummies is here to show you how you can keep a positive attitude and lead an active, productive life. This work is devoted to the results on large deviations for a class of stochastic processes. Following an introduction and overview, the material is presented in three parts