Introduction to m–m processes

Introduction to QM/MM simulations.

Hybrid quantum mechanics/molecular mechanics (QM/MM) simulations have become a popular tool for investigating chemical reactions in condensed phases. In QM/MM methods, the region of the system in which the chemical process takes place is treated at an appropriate level of quantum chemistry theory, while the remainder is described by a molecular mechanics force field. Within this approach, chemi...

Introduction to stochastic processes ∗

Introduction to Stochastic Processes

We use the notation A ∈ F to indicate that the set A is in F . Remark that since A∩B = (A ∪B) and more generally ⋂ Ai = ( ⋃ Ai) c (Exercise: Prove this equality) axiom ii) holds with union replaced by intersection. Also we have A−B = A ∩B so if A,B ∈ F then A−B ∈ F . Basically you should think of a σ-algebra as a system of subsets in which you can perform any of the usual set-theoretic operatio...

Introduction to Point Processes

Point process models are useful for describing phenomena occurring at random locations and/or times. Following a review of basic concepts, some important models are surveyed including Poisson processes, renewal processes, Hawkes processes, and Markovian point processes. Techniques for estimation, simulation and residual analysis for point processes are also briefly discussed. A point process is...

Introduction to Stochastic Processes