Discrete Effects in Continuous Models of Successions

Liquidity Models in Continuous and Discrete Time

We survey several models of liquidity and liquidity related problems such as optimal execution of a large order, hedging and super-hedging options for a large trader, utility maximization in illiquid markets and price impact models with price manipulation strategies. 1.1 What Is Illiquidity? The study of liquidity in financial markets either invokes the ease with which financial securities can ...

Models of Continuous and Discrete Dynamical Systems

The authors have introduced in [KSW97a], KSW97b] two complementary algebras for systems with boundaries. The first is loops in the suspension of a monoidal category ⊗) , (C , denoted ⊗)) , ( Σ ( Ω C , an algebra of deterministic systems in which the natural feedback operation has delay. The second is Span(Graph), an algebra of specifications of systems (nondeterministic transition systems), w...

Combining Discrete and Continuous Process Models

Two notions of process have been used in programs that reason about change* discrete models, which represent changes as instantaneous, and continuous models, which represent changes as processes that act gradually over time. We describe a technique called aggregation which unifies the two types of models and allows both to be used when performing qualitative simulation. Aggregation is a techniq...

Spatial Representation: Discrete vs. Continuous Computational Models

Topological notions and methods are used in various areas of the physical sciences and engineering, and therefore computer processing of topological data is important. Separate from this, but closely related, are computer science uses of topology: applications to programming language semantics and computing with exact real numbers are important examples. The seminar concentrated on an important...

Improved Continuous Models for Discrete Media